메뉴 건너뛰기




Volumn 6, Issue 8, 2012, Pages 1015-1028

Approximation of explicit model predictive control using regular piecewise affine functions: An input-to-state stability approach

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION METHODS; CONSTRAINT SATISFACTION; CONTROL LAWS; EXPLICIT MODEL PREDICTIVE CONTROL; FAST SYSTEMS; FEEDBACK CONTROL LAW; INPUT-TO-STATE STABILITY; ISS-LYAPUNOV FUNCTIONS; LINEAR PROGRAMS; LOW-COMPLEXITY; NUMERICAL EXAMPLE; ON-LINE EVALUATION; PIECEWISE AFFINE FUNCTIONS; PIECEWISE AFFINES; REGULAR PARTITIONS; SEMIDEFINITE PROGRAMS;

EID: 84867061878     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2010.0709     Document Type: Article
Times cited : (17)

References (51)
  • 1
    • 84881361335 scopus 로고    scopus 로고
    • Quadratic stabilization and control of piecewise-linear systems
    • Hassibi, A., and Boyd, S.: ' Quadratic stabilization and control of piecewise-linear systems ', Proc. 1998 American Control Conf., 1998, 6, p. 3659-3664
    • (1998) Proc. 1998 American Control Conf. , vol.6 , pp. 3659-3664
    • Hassibi, A.1    Boyd, S.2
  • 2
    • 0034171765 scopus 로고    scopus 로고
    • Piecewise linear quadratic optimal control
    • 10.1109/9.847100 0018-9286
    • Rantzer, A., and Johansson, M.: ' Piecewise linear quadratic optimal control ', IEEE Trans. Autom. Control, 2000, 45, (4), p. 629-637 10.1109/9.847100 0018-9286
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.4 , pp. 629-637
    • Rantzer, A.1    Johansson, M.2
  • 3
    • 0033097938 scopus 로고    scopus 로고
    • Control of systems integrating logic, dynamics, and constraints
    • 10.1016/S0005-1098(98)00178-2 0005-1098
    • Bemporad, A., and Morari, M.: ' Control of systems integrating logic, dynamics, and constraints ', Automatica, 1999, 35, (3), p. 407-427 10.1016/S0005-1098(98)00178-2 0005-1098
    • (1999) Automatica , vol.35 , Issue.3 , pp. 407-427
    • Bemporad, A.1    Morari, M.2
  • 4
    • 33845764835 scopus 로고    scopus 로고
    • Constrained optimal control of hybrid systems with a linear performance index
    • DOI 10.1109/TAC.2006.886486
    • Baotić, M., Christophersen, F.J., and Morari, M.: ' Constrained optimal control of hybrid systems with a linear performance index ', IEEE Trans. Autom. Control, 2006, 51, (12), p. 1903-1919 10.1109/TAC.2006.886486 0018-9286 (Pubitemid 46002284)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.12 , pp. 1903-1919
    • Baotic, M.1    Christophersen, F.J.2    Morari, M.3
  • 5
    • 36249028476 scopus 로고    scopus 로고
    • Stabilizing model predictive control of hybrid systems
    • DOI 10.1109/TAC.2006.883059
    • Lazar, M., Heemels, W.P.M.H., Weiland, S., and Bemporad, A.: ' Stabilizing model predictive control of hybrid systems ', IEEE Trans. Autom. Control, 2006, 51, (11), p. 1813-1818 10.1109/TAC.2006.883059 0018-9286 (Pubitemid 44824367)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.11 , pp. 1813-1818
    • Lazar, M.1    Heemels, W.P.M.H.2    Weiland, S.3    Bemporad, A.4
  • 9
    • 0036957343 scopus 로고    scopus 로고
    • Model predictive control based on linear programming - The explicit solution
    • 10.1109/TAC.2002.805688 0018-9286
    • Bemporad, A., Borrelli, F., and Morari, M.: ' Model predictive control based on linear programming - the explicit solution ', IEEE Trans. Autom. Control, 2002, 47, (12), p. 1974-1985 10.1109/TAC.2002.805688 0018-9286
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.12 , pp. 1974-1985
    • Bemporad, A.1    Borrelli, F.2    Morari, M.3
  • 10
    • 0036027604 scopus 로고    scopus 로고
    • The explicit linear quadratic regulator for constrained systems
    • DOI 10.1016/S0005-1098(01)00174-1, PII S0005109801001741
    • Bemporad, A., Morari, M., Dua, V., and Pistikopoulos, E.N.: ' The explicit linear quadratic regulator for constrained systems ', Automatica, 2002, 38, (1), p. 3-20 10.1016/S0005-1098(01)00174-1 0005-1098 (Pubitemid 33034535)
    • (2002) Automatica , vol.38 , Issue.1 , pp. 3-20
    • Bemporad, A.1    Morari, M.2    Dua, V.3    Pistikopoulos, E.N.4
  • 12
    • 0037401589 scopus 로고    scopus 로고
    • Evaluation of piecewise affine control via binary search tree
    • 10.1016/S0005-1098(02)00308-4 0005-1098
    • Tondel, P., Johansen, T.A., and Bemporad, A.: ' Evaluation of piecewise affine control via binary search tree ', Automatica, 2003, 39, (5), p. 945-950 10.1016/S0005-1098(02)00308-4 0005-1098
    • (2003) Automatica , vol.39 , Issue.5 , pp. 945-950
    • Tondel, P.1    Johansen, T.A.2    Bemporad, A.3
  • 13
    • 71249087226 scopus 로고    scopus 로고
    • Circuit implementation of piecewise-affine functions based on a binary search tree
    • Oliveri, A., Oliveri, A., Poggi, T., and Storace, M.: ' Circuit implementation of piecewise-affine functions based on a binary search tree ', 2009 ECCTD, 2009, p. 145-148
    • (2009) 2009 ECCTD , pp. 145-148
    • Oliveri, A.1    Oliveri, A.2    Poggi, T.3    Storace, M.4
  • 14
    • 79952488224 scopus 로고    scopus 로고
    • Using hash tables to manage the time-storage complexity in a point location problem: Application to explicit model predictive control
    • 10.1016/j.automatica.2011.01.009 0005-1098
    • Bayat, F., Johansen, T.A., and Jalali, A.A.: ' Using hash tables to manage the time-storage complexity in a point location problem: application to explicit model predictive control ', Automatica, 2011, 47, (3), p. 571-577 10.1016/j.automatica.2011.01.009 0005-1098
    • (2011) Automatica , vol.47 , Issue.3 , pp. 571-577
    • Bayat, F.1    Johansen, T.A.2    Jalali, A.A.3
  • 15
    • 0037877916 scopus 로고    scopus 로고
    • Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming
    • 10.1023/A:1023696221899 0022-3239
    • Bemporad, A., and Filippi, C.: ' Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming ', J. Optim. Theory Appl., 2003, 117, (1), p. 9-38 10.1023/A:1023696221899 0022-3239
    • (2003) J. Optim. Theory Appl. , vol.117 , Issue.1 , pp. 9-38
    • Bemporad, A.1    Filippi, C.2
  • 16
    • 0037955662 scopus 로고    scopus 로고
    • Approximate explicit constrained linear model predictive control via orthogonal search tree
    • 10.1109/TAC.2003.811259 0018-9286
    • Johansen, T.A., and Grancharova, A.: ' Approximate explicit constrained linear model predictive control via orthogonal search tree ', IEEE Trans. Autom. Control, 2003, 48, (5), p. 810-815 10.1109/TAC.2003.811259 0018-9286
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.5 , pp. 810-815
    • Johansen, T.A.1    Grancharova, A.2
  • 17
    • 33747861692 scopus 로고    scopus 로고
    • Robust explicit MPC based on approximate multiparametric convex programming
    • DOI 10.1109/TAC.2006.878755
    • Muñoz de la Peña, D., Bemporad, A., and Filippi, C.: ' Robust explicit MPC based on approximate multiparametric convex programming ', IEEE Trans. Autom. Control, 2006, 51, (8), p. 1399-1403 10.1109/TAC.2006.878755 0018-9286 (Pubitemid 44283248)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.8 , pp. 1399-1403
    • Munoz De La Pena, D.1    Bemporad, A.2    Filippi, C.3
  • 18
    • 62749150974 scopus 로고    scopus 로고
    • Controller complexity reduction for piecewise affine systems through safe region elimination
    • DOI 10.1109/CDC.2007.4434694, 4434694, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    • Christophersen, F.J., Zeilinger, M.N., Jones, C.N., and Morari, M.: ' Controller complexity reduction for piecewise affine systems through safe region elimination ', 2007 46th IEEE CDC, 2007, p. 4773-4778 (Pubitemid 351277897)
    • (2007) Proceedings of the IEEE Conference on Decision and Control , pp. 4773-4778
    • Christophersen, F.J.1    Zeilinger, M.N.2    Jones, C.N.3    Morari, M.4
  • 19
    • 79961019364 scopus 로고    scopus 로고
    • Polynomial approximation of closed-form MPC for piecewise affine systems
    • Seoul, Korea
    • Kvasnica, M., Christophersen, F.J., Herceg, M., and Fikar, M.: ' Polynomial approximation of closed-form MPC for piecewise affine systems ', Proc. 17th IFAC World Congress, Seoul, Korea, 2008, p. 3877-3882
    • (2008) Proc. 17th IFAC World Congress , pp. 3877-3882
    • Kvasnica, M.1    Christophersen, F.J.2    Herceg, M.3    Fikar, M.4
  • 20
    • 77950819471 scopus 로고    scopus 로고
    • A multiscale approximation scheme for explicit model predictive control with stability, feasibility, and performance guarantees
    • December
    • Summers, S., Jones, C.N., Lygeros, J., and Morari, M.: ' A multiscale approximation scheme for explicit model predictive control with stability, feasibility, and performance guarantees ', Proc. 48th IEEE CDC, December, 2009, p. 6327-6332
    • (2009) Proc. 48th IEEE CDC , pp. 6327-6332
    • Summers, S.1    Jones, C.N.2    Lygeros, J.3    Morari, M.4
  • 21
    • 78149237607 scopus 로고    scopus 로고
    • Polytopic approximation of explicit model predictive controllers
    • 10.1109/TAC.2010.2047437 0018-9286
    • Jones, C.N., and Morari, M.: ' Polytopic approximation of explicit model predictive controllers ', IEEE Trans. Autom. Control, 2010, 55, (11), p. 2542-2553 10.1109/TAC.2010.2047437 0018-9286
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.11 , pp. 2542-2553
    • Jones, C.N.1    Morari, M.2
  • 22
    • 83255166721 scopus 로고    scopus 로고
    • Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations
    • in press 10.1109/TAC.2011.2141410 0018-9286
    • Bemporad, A., Oliveri, A., Poggi, T., and Storace, M.: ' Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations ', IEEE Trans. Autom. Control, 2011, 56, in press 10.1109/TAC.2011.2141410 0018-9286
    • (2011) IEEE Trans. Autom. Control , vol.56
    • Bemporad, A.1    Oliveri, A.2    Poggi, T.3    Storace, M.4
  • 23
    • 77957816494 scopus 로고    scopus 로고
    • Approximate explicit MPC using bilevel optimization
    • Budapest, Hungary, August
    • Jones, C.N., and Morari, M.: ' Approximate explicit MPC using bilevel optimization ', European Control Conf., Budapest, Hungary, August, 2009
    • (2009) European Control Conf.
    • Jones, C.N.1    Morari, M.2
  • 25
    • 0038363444 scopus 로고    scopus 로고
    • A method for the approximate synthesis of cellular non-linear networks - Part 1: Circuit definition
    • 10.1002/cta.232 0098-9886
    • Storace, M., Repetto, L., and Parodi, M.: ' A method for the approximate synthesis of cellular non-linear networks - part 1: circuit definition ', Int. J. Circuit Theory Appl., 2003, 31, (3), p. 277-297 10.1002/cta.232 0098-9886
    • (2003) Int. J. Circuit Theory Appl. , vol.31 , Issue.3 , pp. 277-297
    • Storace, M.1    Repetto, L.2    Parodi, M.3
  • 26
    • 78651499977 scopus 로고    scopus 로고
    • Digital architectures realizing piecewise-linear multivariate functions: Two FPGA implementations
    • 10.1002/cta.610 0098-9886
    • Storace, M., and Poggi, T.: ' Digital architectures realizing piecewise-linear multivariate functions: two FPGA implementations ', Int. J. Circuit Theory Appl., 2009, 39, (1), p. 1-15 10.1002/cta.610 0098-9886
    • (2009) Int. J. Circuit Theory Appl. , vol.39 , Issue.1 , pp. 1-15
    • Storace, M.1    Poggi, T.2
  • 27
    • 77955421911 scopus 로고    scopus 로고
    • Integrated circuit implementation of multi-dimensional piecewise-linear functions
    • 10.1016/j.ds2010.02.007
    • di Federico, M., Poggi, T., Julián, P., and Storace, M.: ' Integrated circuit implementation of multi-dimensional piecewise-linear functions ', Digital Signal Process., 2010, 20, (6), p. 1723-1732 10.1016/j.dsp.2010.02.007
    • (2010) Digital Signal Process. , vol.20 , Issue.6 , pp. 1723-1732
    • Di Federico, M.1    Poggi, T.2    Julián, P.3    Storace, M.4
  • 28
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • 10.1109/9.28018 0018-9286
    • Sontag, E.D.: ' Smooth stabilization implies coprime factorization ', IEEE Trans. Autom. Control, 1989, 34, (4), p. 435-443 10.1109/9.28018 0018-9286
    • (1989) IEEE Trans. Autom. Control , vol.34 , Issue.4 , pp. 435-443
    • Sontag, E.D.1
  • 29
    • 0025419843 scopus 로고
    • Further facts about input to state stabilization
    • DOI 10.1109/9.52307
    • di Federico, M., Poggi, T., Julián, P., and Storace, M.: ' Further facts about ISS ', IEEE Trans. Autom. Control, 1990, 35, (4), p. 473-476 10.1109/9.52307 0018-9286 (Pubitemid 20701334)
    • (1990) IEEE Transactions on Automatic Control , vol.35 , Issue.4 , pp. 473-476
    • Sontag Eduardo, D.1
  • 30
    • 0035370502 scopus 로고    scopus 로고
    • Input-to-state stability for discrete-time nonlinear systems
    • DOI 10.1016/S0005-1098(01)00028-0, PII S0005109801000280
    • Jiang, Z.P., and Wang, Y.: ' Input-to-state stability for discrete-time nonlinear systems ', Automatica, 2001, 37, (6), p. 857-869 10.1016/S0005- 1098(01)00028-0 0005-1098 (Pubitemid 32426067)
    • (2001) Automatica , vol.37 , Issue.6 , pp. 857-869
    • Jiang, Z.-P.1    Wang, Y.2
  • 31
    • 36048930110 scopus 로고    scopus 로고
    • On input-to-state stability of min-max nonlinear model predictive control
    • DOI 10.1016/j.sysconle.2007.06.013, PII S0167691107000837
    • Lazar, M., Muñoz de la Peña, D., Heemels, W., and Alamo, T.: ' On input-to-state stability of min-max nonlinear model predictive control ', Syst. Control Lett., 2008, 57, (1), p. 39-48 10.1016/j.sysconle.2007.06.013 0167-6911 (Pubitemid 350087248)
    • (2008) Systems and Control Letters , vol.57 , Issue.1 , pp. 39-48
    • Lazar, M.1    Munoz De La Pena, D.2    Heemels, W.P.M.H.3    Alamo, T.4
  • 32
    • 41049113817 scopus 로고    scopus 로고
    • On robustness of constrained discrete-time systems to state measurement errors
    • 10.1016/j.automatica.2007.08.002 0005-1098
    • Roset, B.J.P., Heemels, W.P.M.H., Lazar, M., and Nijmeijer, H.: ' On robustness of constrained discrete-time systems to state measurement errors ', Automatica, 2007, 44, (4), p. 1161-1165 10.1016/j.automatica.2007.08.002 0005-1098
    • (2007) Automatica , vol.44 , Issue.4 , pp. 1161-1165
    • Roset, B.J.P.1    Heemels, W.P.M.H.2    Lazar, M.3    Nijmeijer, H.4
  • 33
    • 13944269594 scopus 로고    scopus 로고
    • Discrete-time certainty equivalence output feedback: Allowing discontinuous control laws including those from model predictive control
    • DOI 10.1016/j.automatica.2004.11.015, PII S0005109804003206
    • Messina, M.J., Tuna, S.E., and Teel, A.R.: ' Discrete-time certainty equivalence output feedback: allowing discontinuous control laws including those from model predictive control ', Automatica, 2005, 41, (4), p. 617-628 10.1016/j.automatica.2004.11.015 0005-1098 (Pubitemid 40266208)
    • (2005) Automatica , vol.41 , Issue.4 , pp. 617-628
    • Messina, M.J.1    Tuna, S.E.2    Teel, A.R.3
  • 34
    • 0036991298 scopus 로고    scopus 로고
    • Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties
    • Marruedo, D.L., Alamo, T., and Camacho, E.F.: ' Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties ', Proc. 41st IEEE Conf. on Decision and Control, 2002, 2002, 4, p. 4619-4624
    • (2002) Proc. 41st IEEE Conf. on Decision and Control, 2002 , vol.4 , pp. 4619-4624
    • Marruedo, D.L.1    Alamo, T.2    Camacho, E.F.3
  • 35
    • 36249002739 scopus 로고    scopus 로고
    • Nominally robust model predictive control with state constraints
    • DOI 10.1109/TAC.2007.906187
    • Grimm, G., Messina, M.J., Tuna, S.E., and Teel, A.R.: ' Nominally robust model predictive control with state constraints ', IEEE Trans. Autom. Control, 2007, 52, (10), p. 1856-1870 10.1109/TAC.2007.906187 0018-9286 (Pubitemid 350130526)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.10 , pp. 1856-1870
    • Grimm, G.1    Messina, M.J.2    Tuna, S.E.3    Teel, A.R.4
  • 36
    • 57949083845 scopus 로고    scopus 로고
    • Predictive control of hybrid systems: Input-to-state stability results for sub-optimal solutions
    • 10.1016/j.automatica.2008.06.007 0005-1098
    • Lazar, M., and Heemels, W.P.M.H.: ' Predictive control of hybrid systems: Input-to-state stability results for sub-optimal solutions ', Automatica, 2009, 45, (1), p. 180-185 10.1016/j.automatica.2008.06.007 0005-1098
    • (2009) Automatica , vol.45 , Issue.1 , pp. 180-185
    • Lazar, M.1    Heemels, W.P.M.H.2
  • 38
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic Lyapunov functions for hybrid systems
    • PII S0018928698027949
    • Johansson, M., and Rantzer, A.: ' Computation of piecewise quadratic Lyapunov functions for hybrid systems ', IEEE Trans. Autom. Control, 1998, 43, (4), p. 555-559 10.1109/9.664157 0018-9286 (Pubitemid 128737378)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.4 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 39
    • 0036888056 scopus 로고    scopus 로고
    • Analysis of discrete-time piecewise affine and hybrid systems
    • DOI 10.1016/S0005-1098(02)00142-5, PII S0005109802001425
    • Ferrari-Trecate, G., Cuzzola, F.A., Mignone, D., and Morari, M.: ' Analysis of discrete-time piecewise affine and hybrid systems ', Automatica, 2002, 38, (12), p. 2139-2146 10.1016/S0005-1098(02)00142-5 0005-1098 (Pubitemid 35276215)
    • (2002) Automatica , vol.38 , Issue.12 , pp. 2139-2146
    • Ferrari-Trecate, G.1    Cuzzola, F.A.2    Mignone, D.3    Morari, M.4
  • 40
    • 78049326876 scopus 로고    scopus 로고
    • Piecewise quadratic Lyapunov functions for stability verification of approximate explicit MPC
    • 10.4173/mic.2010.2.1
    • Hovd, M., and Olaru, S.: ' Piecewise quadratic Lyapunov functions for stability verification of approximate explicit MPC ', Modeling, Identification Control: A Norwegian Res. Bull., 2010, 31, (2), p. 45-53 10.4173/mic.2010.2.1
    • (2010) Modeling, Identification Control: A Norwegian Res. Bull. , vol.31 , Issue.2 , pp. 45-53
    • Hovd, M.1    Olaru, S.2
  • 42
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • 10.1080/10556789908805766
    • Sturm, J.F.: ' Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones ', Optim. Methods Softw., 1999, 11-12, p. 625-653 10.1080/10556789908805766
    • (1999) Optim. Methods Softw. , vol.1112 , pp. 625-653
    • Sturm, J.F.1
  • 45
    • 78649383529 scopus 로고    scopus 로고
    • Stability analysis of uncertain piecewise linear systems using piecewise quadratic Lyapunov functions
    • Ohta, Y., and Yokoyama, H.: ' Stability analysis of uncertain piecewise linear systems using piecewise quadratic Lyapunov functions ', 2010 IEEE ISIC, 2010, p. 2112-2117
    • (2010) 2010 IEEE ISIC , pp. 2112-2117
    • Ohta, Y.1    Yokoyama, H.2
  • 46
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: Stability and optimality
    • DOI 10.1016/S0005-1098(99)00214-9
    • Mayne, D.Q., Rawlings, J.B., Rao, C.V., and Scokaert, P.O.M.: ' Constrained model predictive control: Stability and optimality ', Automatica, 2000, 36, (6), p. 789-814 10.1016/S0005-1098(99)00214-9 0005-1098 (Pubitemid 30587683)
    • (2000) Automatica , vol.36 , Issue.6 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, P.O.M.4
  • 47
    • 70350345554 scopus 로고    scopus 로고
    • Lyapunov functions, stability and input-to-state stability subtleties for discrete-time discontinuous systems
    • 10.1109/TAC.2009.2029297 0018-9286
    • Lazar, M., Heemels, W.P.M.H., and Teel, A.R.: ' Lyapunov functions, stability and input-to-state stability subtleties for discrete-time discontinuous systems ', IEEE Trans. Autom. Control, 2009, 54, (10), p. 2421-2425 10.1109/TAC.2009.2029297 0018-9286
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.10 , pp. 2421-2425
    • Lazar, M.1    Heemels, W.P.M.H.2    Teel, A.R.3
  • 48
    • 23744455644 scopus 로고    scopus 로고
    • Dynamic programming for constrained optimal control of discrete-time linear hybrid systems
    • DOI 10.1016/j.automatica.2005.04.017, PII S0005109805001524
    • Borrelli, F., Baotíc, M., Bemporad, A., and Morari, M.: ' Dynamic programming for constrained optimal control of discrete-time linear hybrid systems ', Automatica, 2005, 41, (10), p. 1709-1721 10.1016/j.automatica.2005. 04.017 0005-1098 (Pubitemid 41119029)
    • (2005) Automatica , vol.41 , Issue.10 , pp. 1709-1721
    • Borrelli, F.1    Baotic, M.2    Bemporad, A.3    Morari, M.4
  • 50
    • 20344396845 scopus 로고    scopus 로고
    • YALMIP: A toolbox for modeling and optimization in MATLAB
    • Taipei, Taiwan
    • Löfberg, J.: ' YALMIP: a toolbox for modeling and optimization in MATLAB ', Proc. CACSD Conf., Taipei, Taiwan, 2004
    • (2004) Proc. CACSD Conf.
    • Löfberg, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.