Dissipativity Analysis and Synthesis for a Class of Nonlinear Stochastic Impulsive Systems

Abstract EN

The dissipativity analysis and control problems for a class of nonlinear stochastic impulsive systems (NSISs) are studied.

The systems are subject to the nonlinear disturbance, stochastic disturbance, and impulsive effects, which often exist in a wide variety of industrial processes and the sources of instability.

Our aim is to analyse the dissipativity and to design the state-feedback controller and impulsive controller based on the dissipativity such that the nonlinear stochastic impulsive systems are stochastic stable and strictly (Q,S,R)-dissipative.

The sufficient conditions are obtained in terms of linear matrix inequality (LMI), and a numerical example with simulation is given to show the correctness of the derived results and the effectiveness of the proposed method.