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Volumn 31, Issue 2, 2010, Pages 45-53

Piecewise quadratic Lyapunov functions for stability verification of approximate Explicit MPC

Author keywords

Linear matrix inequalities; Model Predictive Control; Piecewise affine systems; Piecewise quadratic Lyapunov function

Indexed keywords

CLOSED LOOP DYNAMIC; CONSTRAINED LINEAR SYSTEMS; CONTROL LAWS; DISCRETE-TIME; EXPLICIT MODEL PREDICTIVE CONTROL; PIECE-WISE; PIECE-WISE AFFINE SYSTEMS; PIECE-WISE QUADRATIC LYAPUNOV FUNCTION; PIECEWISE AFFINE CONTROLLERS; PIECEWISE AFFINES; PREDICTION HORIZON; RELAXATION METHODS; STABILITY VERIFICATION; SUBOPTIMAL SOLUTION;

EID: 78049326876     PISSN: 03327353     EISSN: None     Source Type: Journal    
DOI: 10.4173/mic.2010.2.1     Document Type: Article
Times cited : (13)

References (17)
  • 2
    • 0037877916 scopus 로고    scopus 로고
    • Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming
    • doi:10.1023/A:1023696221899
    • Bemporad, A. and Filippi, C. Suboptimal explicit receding horizon control via approximate multiparametric quadratic programming. Journal of optimization theory and applications, 2003. 117 (1):9-38. doi:10.1023/A:1023696221899.
    • (2003) Journal of Optimization Theory and Applications , vol.117 , Issue.1 , pp. 9-38
    • Bemporad, A.1    Filippi, C.2
  • 3
    • 33748296172 scopus 로고    scopus 로고
    • An algorithm for approximate multiparametric convex programming
    • DOI 10.1007/s10589-006-6447-z
    • Bemporad, A. and Filippi, C. An algorithm for approximate multiparametric convex programming. Computational optimization and applications, 2006. 35:87-108. doi:10.1007/s10589-006-6447-z. (Pubitemid 44326980)
    • (2006) Computational Optimization and Applications , vol.35 , Issue.1 , pp. 87-108
    • Bemporad, A.1    Filippi, C.2
  • 4
    • 0036027604 scopus 로고    scopus 로고
    • The explicit linear quadratic regulator for constrained systems
    • doi:10.1016/S0005-10980100174-1
    • Bemporad, A., Morari, M., Dua, V., and Pistikopoulos, E. N. The explicit linear quadratic regulator for constrained systems. Automatica, 2002. 38:3-20. doi:10.1016/S0005-1098(01)00174-1.
    • (2002) Automatica , vol.38 , pp. 3-20
    • Bemporad, A.1    Morari, M.2    Dua, V.3    Pistikopoulos, E.N.4
  • 5
    • 0036646909 scopus 로고    scopus 로고
    • Stability analysis of piecewise discrete-time linear systems
    • DOI 10.1109/TAC.2002.800666, PII 1011092002800666
    • Feng, G. Stability analysis of piecewise discrete-time linear systems. IEEE Trans. Autom. Contr., 2002. 47:1108-1112. doi:10.1109/TAC.2002.800666. (Pubitemid 34835333)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.7 , pp. 1108-1112
    • Feng, G.1
  • 6
    • 0036888056 scopus 로고    scopus 로고
    • Analysis of discrete-time piecewise affine and hybrid systems
    • doi:10.1016/S0005-10980200142-5
    • Ferrari-Trecate, G., Cuzzola, F. A., Mignone, D., and Morari, M. Analysis of discrete-time piecewise affine and hybrid systems. Automatica, 2002. 38:2139-2146. doi:10.1016/S0005-1098(02)00142-5
    • (2002) Automatica , vol.38 , pp. 2139-2146
    • Ferrari-Trecate, G.1    Cuzzola, F.A.2    Mignone, D.3    Morari, M.4
  • 7
    • 0026222290 scopus 로고
    • Linear systems with state and control constraints: The theory and application of maximal output admissible sets
    • DOI 10.1109/9.83532
    • Gilbert, E. and Tan, K. Linear systems with state and control constraints: The theory and application of maximal output admissible sets. IEEE Trans. Autom. Contr., 1991. 36:1008-1020. doi:10.1109/9.83532 (Pubitemid 21689717)
    • (1991) IEEE Transactions on Automatic Control , vol.36 , Issue.9 , pp. 1008-1020
    • Gilbert Elmer, G.1    Tan Kok Tin2
  • 8
    • 78049351400 scopus 로고    scopus 로고
    • On the use of soft constraints in MPC controllers for plants with inverse response
    • Jejudo Island, Korea
    • Hovd, M. and Braatz, R. D. On the use of soft constraints in mpc controllers for plants with inverse response. In Preprints Dycops. Jejudo Island, Korea, pages 295-300, 2001.
    • (2001) Preprints Dycops , pp. 295-300
    • Hovd, M.1    Braatz, R.D.2
  • 10
    • 0037955662 scopus 로고    scopus 로고
    • Approximate explicit constrained linear model predictive control via orthogonal search tree
    • doi:10.1109/TAC.2003.811259
    • Johansen, T. A. and Grancharova, A. Approximate explicit constrained linear model predictive control via orthogonal search tree. IEEE Transactions on Automatic Control, 2003. 48:810-815. doi:10.1109/TAC.2003.811259
    • (2003) IEEE Transactions on Automatic Control , vol.48 , pp. 810-815
    • Johansen, T.A.1    Grancharova, A.2
  • 11
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic Lyapunov functions for hybrid systems
    • doi:10.1109/9.664157
    • Johansson, M. and Rantzer, A. Computation of piecewise quadratic Lyapunov functions for hybrid systems. IEEE Transactions on Automatic Control, 1998. 43:555-559. doi:10.1109/9.664157
    • (1998) IEEE Transactions on Automatic Control , vol.43 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 12
    • 39549113272 scopus 로고    scopus 로고
    • Multiparametric linear programming with application to control
    • doi:10.3166/ejc.13.152-170
    • Jones, C. N., Baric, M., and Morari, M. Multiparametric linear programming with application to control. European Control Journal, 2007. 13:152-170. doi:10.3166/ejc.13.152-170
    • (2007) European Control Journal , vol.13 , pp. 152-170
    • Jones, C.N.1    Baric, M.2    Morari, M.3
  • 14
    • 20344396845 scopus 로고    scopus 로고
    • A toolbox for modeling and optimization in MATLAB
    • Taipei, Taiwan, URL
    • Löfberg, J. Yalmip: A toolbox for modeling and optimization in MATLAB. In Proceedings of the CACSD Conference. Taipei, Taiwan, 2004. URL http://control.ee.ethz.ch/~joloef/yalmip.php.
    • (2004) Proceedings of the CACSD Conference
    • Löfberg, J.Y.1
  • 15
    • 0041802770 scopus 로고    scopus 로고
    • A survey of industrial model predictive control technology
    • doi:10.1016/S0967-06610200186-7
    • Qin, S. J. and Badgwell, T. A. A survey of industrial model predictive control technology. Control Engineering Practice, 2003. pages 733-764. doi:10.1016/S0967-0661(02)00186-7
    • (2003) Control Engineering Practice , pp. 733-764
    • Qin, S.J.1    Badgwell, T.A.2
  • 16
    • 0034171765 scopus 로고    scopus 로고
    • Piecewise linear quadratic optimal control
    • doi:10.1109/9.847100
    • Rantzer, A. and Johansson, M. Piecewise linear quadratic optimal control. IEEE Transactions on Automatic Control, 2000. 45:629-637. doi:10.1109/9.847100
    • (2000) IEEE Transactions on Automatic Control , vol.45 , pp. 629-637
    • Rantzer, A.1    Johansson, M.2
  • 17
    • 78649870964 scopus 로고    scopus 로고
    • Approximate explicit linear MPC via Delaunay tesselation
    • Budapest, Hungary
    • Scibilia, F., Olaru, S., and Hovd, M. Approximate explicit linear MPC via Delaunay tesselation. In European Control Conference. Budapest, Hungary, 2009.
    • (2009) European Control Conference
    • Scibilia, F.1    Olaru, S.2    Hovd, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.