Cunchen Gao

TL;DR: This paper studies the problems of stability and stabilization for a class of singular switching semi-Markovian jump systems and proposes a state feedback controller to ensure the unforced system to be regular, impulse-free, and exponentially mean-square stable.

TL;DR: This paper addresses the issue of robust fuzzy sliding mode control for continuous-time nonlinear Takagi–Sugeno fuzzy systems with semi-Markovian switching by designing a novel fuzzy integral sliding surface without assuming that the input matrices are the same with full column rank and developing a fuzzy sliding-mode controller for stochastic stability purpose.

TL;DR: A fuzzy sliding-mode controller is developed to realize reachability of a predefined switching surface and desirable sliding motion and sufficient conditions for stochastic stability of the obtained sliding mode dynamics is developed in the sense of generally uncertain transition rates.

TL;DR: This paper investigates the problem of robust passivity-based sliding mode control (SMC) for uncertain singular systems with semi-Markov switching and actuator failures by designing a common sliding surface to weaken the jumping effect and developing a sliding mode controller to accommodate to actuator faults for passification of the singular semi- Markovian jump system.

TL;DR: The issue of observer-based adaptive sliding mode control of nonlinear Takagi–Sugeno fuzzy systems with semi-Markov switching and immeasurable premise variables is investigated and a single-link robot arm model is provided to verify the control scheme numerically.