Quantized guaranteed cost memory consensus for nonlinear multi-agent systems with switching topology and actuator faults

Abstract

This paper addresses the problem of guaranteed cost consensus design for nonlinear multi-agent systems with switching topology under quantization effects and actuator faults. The primary intention of this paper is to construct a reliable controller that is robust against certain actuator faults and which retains the resulting closed-loop system to achieve consensus. In particular, weighted undirected graph is considered to represent the interconnection among agents. By taking advantage of algebraic graph theory along with the Lyapunov technique, a new set of sufficient conditions is established by means of linear matrix inequalities (LMIs) to achieve the exponential consensus of the considered nonlinear multi-agent systems (MASs) . Specifically the control gain matrices can be obtained by solving the established LMIs. Finally, numerical examples are presented to demonstrate the capability of proposed method.