This paper investigates the design of guaranteed cost controllers for a class of linear systems with a state delay using a time-multiplied linear quadratic cost function. Based on delay-dependent and delay-independent stability criteria, guaranteed cost controllers can be constructed via solutions to linear matrix inequalities (LMIs) such that the resulting closed-loop system is stable and a specified time-multiplied linear integral-quadratic cost function has an upper bound. By the cone complementary linearization method, delay-dependent state feedback controllers can be derived in terms of LMIs. A numerical example is provided to demonstrate the effectiveness of the proposed method.

Issue Section:
Research Papers
Keywords:
guaranteed cost control, linear matrix inequality, delay systems, closed loop systems, control system synthesis, cost optimal control, delay systems, linear matrix inequalities, linear quadratic control, linear systems, linearisation techniques, stability criteria, state feedback
Topics:
Control equipment, Delays, State feedback, Closed loop systems, Linear matrix inequalities, Design, Linear systems
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