Quasi-min-max MPC algorithms for LPV systems

Automatica

Volumn 36, Issue 4, 2000, Pages 527-540

  Lu, Yaohui ^a   Arkun, Yaman ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; LINEAR PROGRAMMING; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; PREDICTIVE CONTROL SYSTEMS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITY (LMI); LINEAR PARAMETER VARYING (LPV) SYSTEMS; MODEL PREDICTIVE CONTROL (MPC);

LINEAR CONTROL SYSTEMS;

EID: 0033906527     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(99)00176-4     Document Type: Article

References (16)

1. ∞ control of linear parameter-varying systems Automatica. 31:1995;1251-1261.
2. Arkun, Y., Banerjee, A., & Lakshmanan, N. M. (1998). Self scheduling MPC using LPV models. In R. Berber, Nonlinear model based control, NATO ASI Series. Dordrecht: Kluwer Academic Publishers.
3. Banerjee A., Arkun Y., Ogunnaike B., Pearson R. Estimation of nonlinear systems using linear multiple models. AICHE Journal. 43(5):1997;1204-1226.
4. Bitmead, R. R., Gevers, M., & Wertz, V. (1990). Adaptive optimal control: The thinking man's GPC. Englewood Cliffs, NJ: Prentice-Hall.
5. Boyd, S., Ghaoui, L. E., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Philadelphia: SIAM.
6. Chen H., Allgöwer R. Quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability. Automatica. 34(10):1998;1205-1217.
7. Chmielewski D., Manousiouthakis V. On constrained infinite-time linear quadratic optimal control. Systmes & Control Letters. 29:1996;121-129.
8. Cutler, C. R., & Ramaker, B. L. (1980). Dynamic matrix control - a computer control algorithm. 1980 Joint automatic control conference (pp. WP5-B / 6).
9. Kothare M.V., Balakrishnan V., Morari M. Robust constrained model predictive control using linear matrix inequalities. Automatica. 32(10):1996;1361-1379.
10. Liu, R. W. (1968). Convergent systems. IEEE Transactions on Automatic Control, AC-13, 384-391.
11. Michalska H., Mayne D.Q. Robust receding horizon control of constrained nonlinear systems. IEEE Transaction on Automatic Control. 38(11):1993;1623-1633.
12. Rawlings J.B., Muske K.R. The stability of constrained receding horizon control. IEEE Transactions on Automatic Control. 38(10):1993;1512-1516.
13. Richalet, J. (1980). General principles of scenario predictive control. 1980 Joint automatic control conference (pp. FA9-A / 4).
14. Scokaert P.O.M., Rawlings J.B. Constrained linear quadratic regulation. IEEE Transactions on Automatic Control. 43(8):1998;1163-1169.
15. Shamma, J. S., & Athans, M. (1991). Gain scheduling: Potential hazards and possible remedies. Proceedings of the American control conference (pp. 516-521).
16. Wu, F., & Packard, A. (1995). LQG control design for LPV systems. Proceedings of the American control conference (pp. 4440-4444).