A multiplier approach for the robust design of discrete-time control systems with real/complex uncertainties

Automatica

Volumn 34, Issue 7, 1998, Pages 851-859

  Tchernychev, Andrei ^a   Sideris, Athanasios ^a  

^a University of California at Irvine   (United States)

Author keywords

Discrete time systems; Multipliers; Multivariable control; Robust design

Indexed keywords

ALGORITHMS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; ITERATIVE METHODS; MULTIVARIABLE CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); TIME DOMAIN ANALYSIS;

DISCRETE TIME DOMAIN METHODS; MULTIOBJECTIVE CONTROL DESIGNS; MULTIPLIER METHODS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0032115431     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00026-0     Document Type: Article

References (16)

1. Anderson, B., K. Hitz and N. Diem (1974). Recursive algorithm for spectral factorization. IEEE Trans. Circuits Systems, 21(6), 742-750.
2. Balakrishnan, V., Y. Huang, A. Packard and J. Doyle (1994). Linear matrix inequalities in analysis with multipliers. Proceedings of the American Control Conference, Baltimore, Maryland, pp. 1228-1232.
3. Doyle, J. (1982). Structured uncertainty in control system design. IEE Proc. 129-D(6), 242-250.
4. Fan, M., A. Tits and J. Doyle (1991). Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics. IEEE Trans. Automat. Control, 36(1), 25-38.
5. Gahinet, P., A. Nemirovski, A. Laub and M. Chilali (1995). LMI Control Toolbox, User's Guide.
6. Haddad, W., J. How, S. Hall and D. Bernstein (1992). Extensions of the mixed-μ bounds to monotonic and odd monotonic nonlinearities using absolute stability theory. Proc. IEEE Conf. on Decision and Control, Tuscson, Arizona, pp. 2713-2819, 2820-2823.
7. Hauser, J. (1986). Proximity algorithms: theory and implementation. Memorandum No. UCB/ERL M86/53.
8. ∞ control. Int. J. Control, 54, 1031-1073.
9. Ly, J., M. Safonov and R. Chiang (1994). Real/complex multivariable stability margin computation via generalized popov multiplier - LMI approach. Proc. American Control Conf., Baltimore, Maryland, pp. 425-429.
10. Packard, A. and J. Doyle (1993). The complex structured singular value. Automatica, 29(1), 71-109.
11. ∞ control: the one-block case. Proc. IEEE Conf. Decision and Control, Arizona, pp. 469-474.
12. Safonov, M. and M. Athans (1981). A multiloop generalization of the circle criterion for the stability margin analysis. IEEE Trans. Automatic Control, 26(2), 415-422.
13. m - synthesis without curve fitting. In Control Dyn. Systems, Academic Press, New York.
14. ∞ control in linear uncertain systems with time-domain constraints. Ph.D. Thesis, University of California Irvine.
15. m-design with time domain constraints. Proc. American Control Conf., Alburquerque, New Mexico, pp. 2599-2603.
16. Young, P. (1994) Controller design with real parametric uncertainty. Proc. American Control Conf., Baltimore, Maryland, pp. 2333-2337.