Title :
Robustness analysis in the delta-domain using fixed-structure multipliers
Author :
Collins, Emmanuel G., Jr. ; Haddad, Wassim M. ; Chellaboina, Vijaya-Sekhar ; Song, Tinglun
Author_Institution :
Dept. of Mech. Eng., Florida State Univ., Tallahassee, FL, USA
Abstract :
Development in mixed (i.e., real and complex) structured singular value theory and the associated multiplier-based analysis results have greatly reduced the conservatism in the the analysis of systems with mixed uncertainty. This paper presents robustness tests for the analysis of discrete-time systems. To avoid the inherent numerical ill-conditioning resulting from the use of the standard forward-shift representation and to help unify continuous-time and discrete-time robustness theories, the developments are based on the delta-domain representation of a discrete-time system. After presenting a general frequency-domain robustness test, LMI state space tests are developed. The results are then to delta-domain Popov-type multipliers and with a numerical example
Keywords :
control system analysis; discrete time systems; frequency-domain analysis; singular value decomposition; stability; state-space methods; Popov-type multipliers; delta-domain representation; discrete-time systems; fixed-structure multipliers; frequency-domain analysis; linear matrix inequality; robustness test; state space tests; structured singular value; Aerospace engineering; Control engineering; Digital control; Mechanical engineering; Power engineering and energy; Robustness; State-space methods; System testing; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652352
