메뉴 건너뛰기




Volumn 138, Issue 6, 2016, Pages

Robust distributed model predictive control of constrained continuous-time nonlinear systems using two-layer invariant sets

Author keywords

Distributed model predictive control (DMPC); Nonlinear systems; Optimization; Recursive feasibility; Two layer invariant sets

Indexed keywords

CONTROLLERS; COST FUNCTIONS; MODEL PREDICTIVE CONTROL; NONLINEAR SYSTEMS; NUMERICAL METHODS; OPTIMIZATION; PREDICTIVE CONTROL SYSTEMS; ROBUST CONTROL;

EID: 84963864872     PISSN: 00220434     EISSN: 15289028     Source Type: Journal    
DOI: 10.1115/1.4032829     Document Type: Article
Times cited : (9)

References (30)
  • 1
    • 0033876326 scopus 로고    scopus 로고
    • An overview of nonlinear model predictive control applications
    • Mayne, D. Q., Rawlings, J. B., Rao, C. V., and Scokaert, P. O. M., 2000, "An Overview of Nonlinear Model Predictive Control Applications," Automatica, 36(6), pp. 789-814.
    • (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
  • 2
    • 84958740082 scopus 로고    scopus 로고
    • Distributed receding horizon control of constrained nonlinear vehicle formations with guaranteed γ-gain stability
    • Li, H., Shi, Y., and Yan, W., 2016, "Distributed Receding Horizon Control of Constrained Nonlinear Vehicle Formations With Guaranteed γ-Gain Stability," Automatica, 68, pp. 148-154
    • (2016) Automatica , vol.68 , pp. 148-154
    • Li, H.1    Shi, Y.2    Yan, W.3
  • 3
    • 84929402688 scopus 로고    scopus 로고
    • Receding horizon control based consensus scheme in general linear multi-agent systems
    • Li, H., and Yan, W., 2015, "Receding Horizon Control Based Consensus Scheme in General Linear Multi-Agent Systems," Automatica, 56(4), pp. 12-18.
    • (2015) Automatica , vol.56 , Issue.4 , pp. 12-18
    • Li, H.1    Yan, W.2
  • 4
    • 84962423497 scopus 로고    scopus 로고
    • Distributed MPC of aggregated heterogeneous thermostatically controlled loads in smart grid
    • Liu, M., Shi, Y., and Liu, X., 2016, "Distributed MPC of Aggregated Heterogeneous Thermostatically Controlled Loads in Smart Grid," IEEE Trans. Ind. Electron., 63(2), pp. 1120-1129.
    • (2016) IEEE Trans. Ind. Electron. , vol.63 , Issue.2 , pp. 1120-1129
    • Liu, M.1    Shi, Y.2    Liu, X.3
  • 5
    • 64849107578 scopus 로고    scopus 로고
    • Architecture for distributed and hierarchical model predictive control
    • Scattolini, R., 2009, "Architecture for Distributed and Hierarchical Model Predictive Control," J. Process Control, 19(5), pp. 723-731.
    • (2009) J. Process Control , vol.19 , Issue.5 , pp. 723-731
    • Scattolini, R.1
  • 6
    • 84874018044 scopus 로고    scopus 로고
    • Distributed model predictive control: A tutorial review and future research directions
    • Christofides, P. D., Scattolini, R., de la Peña, D. M., and Liu, J., 2013, "Distributed Model Predictive Control: A Tutorial Review and Future Research Directions," Comput. Chem. Eng., 51(5), pp. 21-41.
    • (2013) Comput. Chem. Eng. , vol.51 , Issue.5 , pp. 21-41
    • Christofides, P.D.1    Scattolini, R.2    De La-Peña, D.M.3    Liu, J.4
  • 7
    • 34547096258 scopus 로고    scopus 로고
    • Distributed receding horizon control of dynamically coupled nonlinear systems
    • Dunbar, W. B., 2007, "Distributed Receding Horizon Control of Dynamically Coupled Nonlinear Systems," IEEE Trans. Autom. Control, 52(7), pp. 1249-1263.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.7 , pp. 1249-1263
    • Dunbar, W.B.1
  • 8
    • 79955771923 scopus 로고    scopus 로고
    • Cooperative distributed model predictive control for nonlinear systems
    • Stewart, B. T., Wright, S. J., and Rawlings, J. B., 2011, "Cooperative Distributed Model Predictive Control for Nonlinear Systems," J. Process Control, 21(5), pp. 698-704.
    • (2011) J. Process Control , vol.21 , Issue.5 , pp. 698-704
    • Stewart, B.T.1    Wright, S.J.2    Rawlings, J.B.3
  • 9
    • 84860299394 scopus 로고    scopus 로고
    • Distributed predictive control: A non-cooperative algorithm with neighbor-to-neighbor communication for linear systems
    • Farina, M., and Scattolini, R., 2012, "Distributed Predictive Control: A Non-Cooperative Algorithm With Neighbor-to-Neighbor Communication for Linear Systems," Automatica, 48(6), pp. 1088-1096.
    • (2012) Automatica , vol.48 , Issue.6 , pp. 1088-1096
    • Farina, M.1    Scattolini, R.2
  • 10
    • 33144484176 scopus 로고    scopus 로고
    • Distributed receding horizon control for multi-vehicle formation stabilization
    • Dunbar, W. M., and Murray, R. M., 2006, "Distributed Receding Horizon Control for Multi-Vehicle Formation Stabilization," Automatica, 42(4), pp. 549-558.
    • (2006) Automatica , vol.42 , Issue.4 , pp. 549-558
    • Dunbar, W.M.1    Murray, R.M.2
  • 11
    • 84863048998 scopus 로고    scopus 로고
    • Iterative distributed model predictive control of nonlinear systems: Handling asynchronous, delayed measurements
    • Liu, J., Chen, X., de la Peña, D. M., and Christofides, P. D., 2012, "Iterative Distributed Model Predictive Control of Nonlinear Systems: Handling Asynchronous, Delayed Measurements," IEEE Trans. Autom. Control, 57(2), pp. 528-534.
    • (2012) IEEE Trans. Autom. Control , vol.57 , Issue.2 , pp. 528-534
    • Liu, J.1    Chen, X.2    De La-Peña, D.M.3    Christofides, P.D.4
  • 12
    • 34648828884 scopus 로고    scopus 로고
    • Robust distributed model predictive control
    • Richards, A., and How, J., 2007, "Robust Distributed Model Predictive Control," Int. J. Control, 80(9), pp. 1517-1531.
    • (2007) Int. J. Control , vol.80 , Issue.9 , pp. 1517-1531
    • Richards, A.1    How, J.2
  • 13
    • 77954911804 scopus 로고    scopus 로고
    • Distributed model predictive control of linear systems with persistent disturbances
    • Trodden, P., and Richards, A., 2010, "Distributed Model Predictive Control of Linear Systems With Persistent Disturbances," Int. J. Control, 83(8), pp. 1653-1663.
    • (2010) Int. J. Control , vol.83 , Issue.8 , pp. 1653-1663
    • Trodden, P.1    Richards, A.2
  • 14
    • 84872014677 scopus 로고    scopus 로고
    • Cooperative distributed MPC of linear systems with coupled constraints
    • Trodden, P., and Richards, A., 2013, "Cooperative Distributed MPC of Linear Systems With Coupled Constraints," Automatica, 49(2), pp. 479-487.
    • (2013) Automatica , vol.49 , Issue.2 , pp. 479-487
    • Trodden, P.1    Richards, A.2
  • 15
    • 84857752794 scopus 로고    scopus 로고
    • Distributed receding horizon control of vehicle platoon stability and string stability
    • Dunbar, W. B., 2012, "Distributed Receding Horizon Control of Vehicle Platoon Stability and String Stability," IEEE Trans. Autom. Control, 57(3), pp. 620-633.
    • (2012) IEEE Trans. Autom. Control , vol.57 , Issue.3 , pp. 620-633
    • Dunbar, W.B.1
  • 16
    • 33750431727 scopus 로고    scopus 로고
    • Decentralized receding horizon control for large scale dynamically decoupled systems
    • Keviczky, T., Borrelli, F., and Balas, G. J., 2006, "Decentralized Receding Horizon Control for Large Scale Dynamically Decoupled Systems," Automatica, 42(12), pp. 2105-2115.
    • (2006) Automatica , vol.42 , Issue.12 , pp. 2105-2115
    • Keviczky, T.1    Borrelli, F.2    Balas, G.J.3
  • 17
    • 52449121668 scopus 로고    scopus 로고
    • Cooperative constrained control of distributed agents with nonlinear dynamics and delayed information exchange: A stabilizing receding horizon approach
    • Ranco, E., and Magni, L., 2008, "Cooperative Constrained Control of Distributed Agents With Nonlinear Dynamics and Delayed Information Exchange: A Stabilizing Receding Horizon Approach," IEEE Trans. Autom. Control, 53(1), pp. 324-338.
    • (2008) IEEE Trans. Autom. Control , vol.53 , Issue.1 , pp. 324-338
    • Ranco, E.1    Magni, L.2
  • 18
    • 78249248361 scopus 로고    scopus 로고
    • Distributed decentralized model predictive control of dynamically decoupled systems with coupled cost
    • Wang, C., and Ong, C., 2010, "Distributed Decentralized Model Predictive Control of Dynamically Decoupled Systems With Coupled Cost," Automatica, 46(12), pp. 2053-2058.
    • (2010) Automatica , vol.46 , Issue.12 , pp. 2053-2058
    • Wang, C.1    Ong, C.2
  • 19
    • 84898894228 scopus 로고    scopus 로고
    • Robust distributed model predictive control of constrained continuous-time nonlinear systems: A robustness constraint approach
    • Li, H., and Shi, Y., 2014, "Robust Distributed Model Predictive Control of Constrained Continuous-Time Nonlinear Systems: A Robustness Constraint Approach," IEEE Trans. Autom. Control, 59(6), pp. 1673-1678.
    • (2014) IEEE Trans. Autom. Control , vol.59 , Issue.6 , pp. 1673-1678
    • Li, H.1    Shi, Y.2
  • 20
    • 84905709069 scopus 로고    scopus 로고
    • Robust distributed model predictive control of constrained continuous-time nonlinear systems using two-layer invariant set
    • Portland, OR
    • Liu, X., Shi, Y., and Constantinescu, D., 2014, "Robust Distributed Model Predictive Control of Constrained Continuous-Time Nonlinear Systems Using Two-Layer Invariant Set," American Control Conference, Portland, OR, pp. 5602-5607.
    • (2014) American Control Conference , pp. 5602-5607
    • Liu, X.1    Shi, Y.2    Constantinescu, D.3
  • 21
    • 0032183270 scopus 로고    scopus 로고
    • A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability
    • Chen, H., and Allgöwer, F., 1998, "A Quasi-Infinite Horizon Nonlinear Model Predictive Control Scheme With Guaranteed Stability," Automatica, 34(10), pp. 1205-1217.
    • (1998) Automatica , vol.34 , Issue.10 , pp. 1205-1217
    • Chen, H.1    Allgöwer, F.2
  • 22
    • 84908456285 scopus 로고    scopus 로고
    • Distributed model predictive control of constrained coupled nonlinear systems
    • Liu, X., Shi, Y., and Constantinescu, D., 2014, "Distributed Model Predictive Control of Constrained Coupled Nonlinear Systems," Syst. Control Lett., 74(12), pp. 41-49.
    • (2014) Syst. Control Lett. , vol.74 , Issue.12 , pp. 41-49
    • Liu, X.1    Shi, Y.2    Constantinescu, D.3
  • 23
    • 84925983153 scopus 로고    scopus 로고
    • Robust model predictive control of constrained nonlinear systems-adopting the non-squared integrand objective function
    • Liu, X., Constantinescu, D., and Shi, Y., 2015, "Robust Model Predictive Control of Constrained Nonlinear Systems-Adopting the Non-Squared Integrand Objective Function," IET Control Theory Appl., 9(5), pp. 649-658.
    • (2015) IET Control Theory Appl. , vol.9 , Issue.5 , pp. 649-658
    • Liu, X.1    Constantinescu, D.2    Shi, Y.3
  • 24
    • 0027701879 scopus 로고
    • Robust receding horizon control of constrained nonlinear systems
    • Michalska, H., and Mayne, D. Q., 1993, "Robust Receding Horizon Control of Constrained Nonlinear Systems," IEEE Trans. Autom. Control, 38(11), pp. 1623-1633.
    • (1993) IEEE Trans. Autom. Control , vol.38 , Issue.11 , pp. 1623-1633
    • Michalska, H.1    Mayne, D.Q.2
  • 25
    • 84896283815 scopus 로고    scopus 로고
    • Multistage suboptimal model predictive control with improved computational efficiency
    • Liu, X., Constantinescu, D., and Shi, Y., 2014, "Multistage Suboptimal Model Predictive Control With Improved Computational Efficiency," ASME J. Dyn. Syst., Meas., Control, 136(3), p. 031026.
    • (2014) ASME J. Dyn. Syst., Meas., Control , vol.136 , Issue.3 , pp. 031026
    • Liu, X.1    Constantinescu, D.2    Shi, Y.3
  • 26
    • 84890859147 scopus 로고    scopus 로고
    • State feedback control of nonlinear systems: A simple approach
    • Hammer, J., 2014, "State Feedback Control of Nonlinear Systems: A Simple Approach," Int. J. Control, 87(1), pp. 143-160.
    • (2014) Int. J. Control , vol.87 , Issue.1 , pp. 143-160
    • Hammer, J.1
  • 27
    • 84897407166 scopus 로고    scopus 로고
    • On the robustness of nominal nonlinear minimum-time control and extension to non-robustly controllable target sets
    • Pin, G., and Parisini, T., 2014, "On the Robustness of Nominal Nonlinear Minimum-Time Control and Extension to Non-Robustly Controllable Target Sets," IEEE Trans. Autom. Control, 59(4), pp. 863-875.
    • (2014) IEEE Trans. Autom. Control , vol.59 , Issue.4 , pp. 863-875
    • Pin, G.1    Parisini, T.2
  • 28
    • 33645801795 scopus 로고    scopus 로고
    • Reachability analysis of discrete-time systems with disturbances
    • Raković, S. V., Kerrigan, E., Mayne, D. Q., and Lygeros, J., 2006, "Reachability Analysis of Discrete-Time Systems With Disturbances," IEEE Trans. Autom. Control, 51(4), pp. 546-561.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.4 , pp. 546-561
    • Raković, S.V.1    Kerrigan, E.2    Mayne, D.Q.3    Lygeros, J.4
  • 29
    • 22344456909 scopus 로고    scopus 로고
    • On the computation of invariant sets for constrained nonlinear systems: An interval arithmetic approach
    • Bravo, J. M., Limón, D., Alamo, T., and Camacho, E. F., 2005, "On the Computation of Invariant Sets for Constrained Nonlinear Systems: An Interval Arithmetic Approach," Automatica, 41(9), pp. 1583-1589.
    • (2005) Automatica , vol.41 , Issue.9 , pp. 1583-1589
    • Bravo, J.M.1    Limón, D.2    Alamo, T.3    Camacho, E.F.4
  • 30
    • 84979467977 scopus 로고    scopus 로고
    • Aggregation and charging control of PHEVs in smart grid: A cyber-physical perspective
    • (online)
    • Liu, M., Shi, Y., and Gao, H., 2016, "Aggregation and Charging Control of PHEVs in Smart Grid: A Cyber-Physical Perspective," Proceedings of the IEEE (online).
    • (2016) Proceedings of the IEEE
    • Liu, M.1    Shi, Y.2    Gao, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.