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

摘要

This article reports on an investigation into robust guaranteed cost control (GCC) for uncertain switched neutral systems (USNSs) with interval time-varying mixed delays and nonlinear perturbations via dynamic output feedback. Delay-dependent sufficient conditions are suggested to guarantee the robust exponential stability and to obtain robust GCC for USNSs using the average dwell time approach and the piecewise Lyapunov function technique in terms of a set of linear matrix inequalities. The problem of uncertainty in the system model is solved by deploying the Yakubovich lemma. Lastly, two examples (i.e., a numerical example and the water-quality dynamic model for the Nile River) are given to verify the efficiency of the propounded theories. (c) 2016 Wiley Periodicals, Inc. Complexity 21: 555-578, 2016