Robust Stabilization of Uncertain Switched Nonlinear Systems With Hybrid Saturated Inputs

In this article, we propose a novel class of mathematical models of uncertain switched nonlinear systems with saturation constraints on both the sampled-data control signal and the impulsive signal, which can reflect the actuator saturation phenomenon of hybrid control signals more realistically. Based on the Lyapunov stability theory, polytopic representation approach, matrix inequality, and Schur complement, we analyze the robust stability of the considered system, overcoming the relevant difficulties from the parameter uncertainty, the discontinuity produced by impulsive effect and the input constraints on both the sampled-data control signal and the impulsive signal. Moreover, to make it easier to find the suitable control gains, the design of the hybrid control gains is investigated. And, some optimization problems are also established to obtain the larger estimation of the attraction domain. Simulation results for the system consisting of two neural network subsystems are presented to show the feasibility and effectiveness of our robust stabilization methods and the LMI optimization problems.

Automated summary

In this article, a novel class of mathematical models for uncertain switched nonlinear systems with saturation constraints on control signals is proposed. The robust stability of the system is analyzed using Lyapunov stability theory, polytopic representation approach, matrix inequality, and Schur complement. Design of the hybrid control gains and optimization problems for larger estimation of the attraction domain are also investigated. Simulation results show the feasibility and effectiveness of the proposed methods.