Control of Nonlinear Systems Case

This chapter considers the robust control problem for nonlinear Markov jump singularly perturbed jump systems based on the T-S fuzzy model. To address the issue of actuator failure, fault-tolerant control and nonfragile control are adopted separately, which is more practical. For different performance indicators, new auxiliary functions are used to establish stability and stabilization conditions for fuzzy singularly perturbed jump systems. Afterwards, the desired controller is obtained through the linear matrix inequality method.