Title :
Construction of Lyapunov functions in robustness analysis with multipliers
Author :
Balakrishnan, V.
Author_Institution :
Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
Robust control system analysis using a combination of multiplier theory and linear matrix inequality-based convex optimization has received considerable attention recently. The multipliers used in establishing stability are in general noncausal, and the underlying Lyapunov function that proves robust stability is not immediately apparent. Given an affine parametrization of a set of noncausal multipliers that prove robust stability in the presence of diagonal, linear time-invariant, passive uncertainties, we describe an explicit procedure for the construction of the corresponding set of quadratic Lyapunov functions that prove stability of the closed-loop system
Keywords :
Lyapunov methods; control system analysis; linear systems; matrix algebra; optimisation; perturbation techniques; robust control; closed-loop system; convex optimization; linear matrix inequality; linear systems; linear time-invariant passive uncertainty; multipliers; quadratic Lyapunov functions; robustness analysis; stability; Frequency domain analysis; Internet; Linear matrix inequalities; Linear systems; Lyapunov method; Robust control; Robust stability; Robustness; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411443
