Adaptive robust design for nonlinear switched systems with unmodeled dynamics and input quantization

Abstract

In this paper, we focus on the adaptive robust input quantized control problem for a class of uncertain nonlinear switched systems under a state‐dependent switching law. The considered systems admit the non‐ISS unmodeled dynamics, the unknown virtual control coefficients, and an unknown parameter. In order to reduce the conservativeness of the common Lyapunov function, the multiple Lyapunov functions method is used to design a state‐dependent switching law. Besides, to overcome the design difficulty arising from the quantization behavior, a nonlinear decomposition method is used to establish the relationship between the control signal and the quantized signal. We put forward the adaptive robust controllers for the individual subsystems, based on which the resulted closed‐loop system is uniformly ultimately bounded. Finally, to verify the effectiveness of the proposed control scheme, two examples are given to construct the adaptive robust controllers.