Hybrid Resilient Observer-Based Guaranteed Cost Control for Nonlinear Impulsive Switched Systems With Multipath Quantizations and Packet Dropouts

Abstract

This paper investigates the problem of hybrid resilient observer-based guaranteed cost (GC) control for nonlinear impulsive switched systems (ISSs) with multipath quantizations and packet dropouts. Both systems and controllers have random uncertainties that obey the Bernoulli distribution. The measurement output and the control input are affected by quantizations as well as packet dropouts. The phenomena of packet dropouts obey the Bernoulli distribution, and the zero-input strategy is used for the lost signals. To correspond state jumps of nonlinear ISSs, states of designed observers also have abrupt changes at impulsive switching instants. The hybrid observers can compensate adverse effects of those communication constraints to some extent. This paper concentrates on the design of hybrid resilient observer-based GC controller so that closed-loop ISSs are asymptotically stable in the mean-square sense. Sufficient conditions for nonlinear ISSs stability and GC performance are obtained by the multiple Lyapunov functions (MLFs) method and average dwell time (ADT) switching strategy. The linear matrix inequalities (LMIs) are used to expressed sufficient conditions for the existence of designed controllers. An example is performed to illustrate the effectiveness of the proposed design method.