On delay‐dependent LMI‐based guaranteed cost control of uncertain neutral systems with discrete and distributed time‐varying delays

Abstract

SUMMARYIn this paper, the problem of designing robust guaranteed cost control law for a class of uncertain neutral system with a given quadratic cost function is considered. Based on Lyapunov-Krasovskii functional theory, a delay-dependent criterion for the existence of guaranteed cost controller is expressed in the form of two linear matrix inequalities (LMIs), which can be solved by using effective LMI toolbox. Moreover, a convex optimization problem satisfying some LMI constraints is formulated to solve a guaranteed cost controller which achieves the minimization of the closed-loop guaranteed cost. An efficient approach is proposed to design the guaranteed cost control for uncertain neutral systems. Computer software Matlab can be used to solve all the proposed results. Finally, a numerical example is illustrated to show the usefulness of our obtained design method.

Exponential stability of switched Markovian jumping neutral‐type systems with generally incomplete transition rates

“…The differential expression of a neutral‐type system concludes not only the derivative term of the current state but also the derivative of the past state. () Many scholars have deeply investigated the stability and control problem of neutral‐type systems,() including approximate controllability, observer‐based control,() control,() and reliable control. () Arino and Nosov studied the stability and asymptotic properties of a class of neutral‐type functional differential equations based on the pattern equation method.…”

LMI‐based criterion for the robust guaranteed cost control of uncertain switched neutral systems with time‐varying mixed delays and nonlinear perturbations by dynamic output feedback

“…This approach finds an upper bound on the quadratic cost function based on the Lyapunov function, an issue first introduced in . The GCC has recently received extensive attention (see ).…”