Linear matrix inequalities and polyhedral invariant sets in constrained robust predictive control

International Journal of Robust and Nonlinear Control

Volumn 10, Issue 13, 2000, Pages 1079-1090

  Lee, Y I ^a,b   Kouvaritakis, B ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b Gyeongsang National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONSTRAINT THEORY; INVARIANCE; LINEAR SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PREDICTIVE CONTROL SYSTEMS; STATE FEEDBACK; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITIES; POLYHEDRAL INVARIANT SETS; POLYHEDRAL SETS; POLYTOPIC MODEL; ROBUST PREDICTIVE CONTROL; ROBUST STABILITY;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0034314564     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/1099-1239(200011)10:13<1079::AID-RNC517>3.0.CO;2-D     Document Type: Article

References (10)

1. Gilbert EG, Tan KT. Linear systems with state and control constraints: the theory and application of matrix output admissible sets. IEEE Transactions on Automatic Control 1991; 36(9):1008-1020.
2. Kothare MV, Balakrishnan V, Morari M. Robust constrained model predictive control with finite terminal weighting matrix. Automatica 1996; 32(10):1361-1379.
3. Kouvaritakis B, Rossiter JA, Schurmans J. Efficient robust predictive control. IEEE Automatic Control 1998, Submitted, to appear.
4. Lee JW, Kwon WH, Choi J. On stability of constrained receding horizon control with finite terminal weighting matrix. European Control Conference, Brussel, 1997.
5. Lee YI, Kouvaritakis B. Stabilizabie regions of receding horizon predictive control with input constraints. Internal Report, OUEL 2167/98, Department of Engineering and Science Oxford University 1998. Systems & Control Letters 1999; 38:13-20.
6. Lee YI, Kouvaritakis B. Robust receding horizon predictive control for systems with uncertain dynamics and input saturation. Internal Report, OUEL 2175/98, Department of Engineering and Science Oxford University 1998. Automatica, to appear.
7. Lee YI, Kouvaritakis B. Constrained receding horizon predictive control for systems with disturbances. Internal Report, OUEL 2178/98, Department of Engineering and Science Oxford University 1998. International Journal of Control 1999; 72(11):1027-1032.
8. Rossiter JA, Kouvaritakis B, Rice MJ. A numerically robust state-space approach to state-predictive control strategies. Automatica 1997; 34(1):65-73.
9. Scokaert POM, Rawlings JB. Infinite horizon linear quadratic control with constraints. Proceedings of IFAC 96, San Fransisco, Vol. M, 1996; pp. 109-114.
10. Sznaier M, Damborg MJ. Suboptimal control of linear systems with state and control inequality constraints. Proceedings of 26th conference on Decision and Control, 1987, pp. 761-762.