Abstract

In this paper, the state-feedback mixed H2/H∞ control problem for state-delayed linear systems is considered. Sufficient conditions for the solvability of this problem are given in terms of the solution to a pair of algebraic Riccati equations similar to the nondelayed case. However, these Riccati equations are more difficult to solve than those arising in the pure H2,H∞ problems, and an alternative approach is to solve a pair of linear matrix inequalities (LMIs).

Issue Section:
Technical Briefs
Keywords:
linear systems, delay systems, state feedback, optimal control, linear matrix inequalities, game theory, Riccati equations, Delayed System, H2/H∞ Criteria, Nash Game, Coupled Riccati Equations, Linear Matrix Inequalities (LMIs)
Topics:
Linear matrix inequalities, Linear systems, State feedback, Delays, Algebra
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