Robust performance with fixed and worst-case signals for uncertain time-varying systems

Automatica

Volumn 33, Issue 12, 1997, Pages 2183-2189

  Blanchini, F ^a   Miani, S ^b   Sznaier, M ^c  

^a UNIVERSITY OF UDINE   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

^c The Pennsylvania State University   (United States)

Author keywords

Dynamic systems; Robust performance; Time varying systems; Unmodeled dynamics

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); STEP RESPONSE;

DYNAMIC SYSTEMS; UNMODELED DYNAMICS;

TIME VARYING CONTROL SYSTEMS;

EID: 0031337190     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(97)00136-2     Document Type: Article

References (21)

1. Barabanov, N. E. (1988). Lyapunov indicator of discrete inclusion: Parts I-III.Automatica. Remote. Control, 49(2), 152-157; (4), 283-287; (5), 558-566.
2. Barabanov, N. E. (1988). Lyapunov indicator of discrete inclusion: Parts I-III.Automatica. Remote. Control, 49(2), 152-157; (4), 283-287; (5), 558-566.
3. Barabanov, N. E. (1988). Lyapunov indicator of discrete inclusion: Parts I-III.Automatica. Remote. Control, 49(2), 152-157; (4), 283-287; (5), 558-566.
4. Barmish, B. R. and J. Sankaran (1979). The propagation of parametric uncertainty via poly topes. IEEE Trans. Automat. Control, 24, 346-349.
5. Bertsekas, D. P. and I. B. Rhodes (1971). On the minmax reachability of target set and target tubes. Automatica, 7, 233-247.
6. Blanchini, F. (1992). Constrained control for systems with unknown disturbances. In C.T. Leondes (Ed.), Robust Control System Techniques and Applications, Control and Dynamic Systems, Vol. 51, pp. 129-182. Academic Press, New York.
7. Blanchini, F. (1994). Ultimate boundedness control for discrete-time uncertain system via set induced Lyapunov functions. IEEE Trans. Automat. Control, 39, 428-433.
8. Blanchini, F. (1995). Non-quadratic Lyapunov function for robust control. Automatica, 31, 451-461.
9. Blanchini, F. and S. Miani (1996). On the transient estimate for linear systems with time-varying uncertain parameters. IEEE Trans. Circuit. Systems, 42, 592-596.
10. Brayton, R. K. and C. H. Tong (1979). Stability of dynamical systems: a constructive approach, IEEE Trans. Circuit and Systems,CAS-26, 224-234.
11. Brayton, R. K. and C. H. Tong (1980). Constructive stability and asymptotic stability of dynamical systems, IEEE Trans. Circuit. Systems. CAS-27, 1121-1130.
12. Elia, N., P. Young and M. Dahleh (1995). Robust performance for both fixed and worst-case disturbances. Proc. 34th Conf. on Decision and Control, New Orleans, pp. 3170-3175.
13. Kammash, M. H. (1994). Robust steady-state tracking. Proc. American Control Conf., Baltimore, pp. 791-794.
14. Khammash, M. and J. B. Pearson (1991). Performance robustness of discrete-time systems with structured uncertainty. IEEE Trans. Automatic Control, 36, 398-412.
15. Michel, A. N., B. H. Nam and V. Vittal (1984). Computer generated Lyapunov functions for interconnected systems: improved results with applications to power systems. IEEE Trans. Circuits. Systems., 31(2), 189-198.
16. Molchanov, A. P. and E. S. Pyatnitskii (1986), Lyapunov functions specifying necessary and sufficient conditions of absolute stability of nonlinear nonstationary control system. Parts I-III. Automatica Remote Control, 47, 344-354, 443-451 and 620-630.
17. Ohta, Y., Y. Imanishi, L. Gong and H. Haneda (1993). Computer generated Lyapunov functions for a class of non-linear systems. IEEE Trans. Circuit, and Systems, 40, 342-353.
18. Olas, A. (1991). On robustness of systems with structured uncertainties.Proc. IV Workshop of Control Mechanics, CA.
19. Sznaier, M. (1993). A set-induced norm approach to the robust control of constrained linear systems. SIAM J. Control Optim., 31, 733-746.
20. Tan, K. and E. Gilbert (1991). Linear systems with state and control constraints: the theory and the applications of the maximal output admissible sets, IEEE Trans. Automat. Control, 36 (9), 411-423.
21. Zelentsowsky, A. L. (1994). Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems. IEEE Trans. Automat. Control, 39, 135-138.