A priori stability conditions for an arbitrary number of unstable poles

Automatica

Volumn 32, Issue 10, 1996, Pages 1441-1446

  Kouvaritakis, Basil ^a   Gossner, J R ^a   Rossiter, J A ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Constraints; Predictive control; Stability

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; CONSTRAINT THEORY; CONTROL EQUIPMENT; MATHEMATICAL MODELS; SYSTEM STABILITY;

A PRIORI STABILITY CONDITIONS; ARBITRARY NUMBER; OPEN LOOP STABLE SYSTEMS; UNSTABLE POLES;

PREDICTIVE CONTROL SYSTEMS;

EID: 0030263825     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(96)00093-3     Document Type: Article

References (15)

1. Best, M. J. and K. Ritter (1985). Linear Programming: Active Set Analysis and Computer Programs, p. 246. Prentice-Hall, Englewood Cliffs, J.J.
2. Gilbert, E. G. and K. T. Tan (1991). Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Trans. Autom. Control, AC-36, 1008-1020.
3. Gilbert, E. G., I. Kolmanovsk and K. T. Tan (1994). Nonlinear control of discrete-time linear systems with state and control constraints: a reference governor with global convergence properties. In Proceedings of 33rd IEEE Conf. on Decision and Control, Lake Buena Vista, FL, pp. 144-149.
4. Keerthi, S. S. and E. G. Gilbert (1988). Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: stability and moving horizon approximations. J. Optim Theory Applic., 57, 265-293.
5. Kouvaritakis, B., J. A. Rossiter and A. O. T. Chang (1992). Stable generalized predictive control. Proc. IEE, Pt D, 139, 349-362.
6. Mayne, D. Q. and E. Polak (1993). Optimization based design and control. In Proceedings of 12th IFAC World Congress, Sydney, Australia, Vol. 3, pp. 129-138.
7. Michalska, H. and D. Q. Mayne (1993). Robust receding horizon control of constrained nonlinear systems. IEEE Trans. Autom. Control, AC-38, 1623-1633.
8. Morari, M. (1994). Model predictive control: multivariable control technique choice of the 1990's. In D. W. Clarke (Ed.), Advances in Model Based Predictive Control, pp. 22-37. Oxford University Press.
9. Rawlings, J. B. and K. R. Muske (1993), The stability of constrained receding horizon control. IEEE Trans. Autom. Control, AC-38, 1512-1516.
10. Rossiter, J. A. and B. Kouvaritakis (1993). Constrained stable generalized predictive control. Proc. IEE, Pt D, 140, 243-254.
11. Rossiter, J. A., B. Kouvaritakis and J. R. Gossner (1994). Constrained stable generalized predictive control: stability results and the case of disturbances. Oxford University Tech. Report, OUEL 2018/94.
12. Rossiter, J. A., B. Kouvaritakis and J. R. Gossner (1995a). Feasibility and stability results for constrained stable generalized predictive control. Automatica, 31, 863-877.
13. Rossiter, J. A., B. Kouvaritakis and J. R. Gossner (1995b). Constrained cautious stable predictive control. Submitted to Proc. IEE, Pt D.
14. Rossiter, J. A., B. Kouvaritakis and J. R. Gossner (1995c). Stable generalized predictive control in the presence of constraints and bounded disturbances. In Proc. 3rd European Control Conf., Rome, pp. 3241-3246.
15. Zheng, A. and M. Morari (1994). Stability of model predictive control with soft constraints. In Proc. 33rd IEEE Conf. on Decision and Control, Lake Buena Vista, FL, pp. 1018-1023.