H Fuzzy Dynamic Output Feedback Reliable Control for Markov Jump Nonlinear Systems with PDT Switched Transition Probabilities and Its Application

This paper investigates the problem of designing H dynamic output feedback reliable controller for discretetime Markov jump nonlinear systems with persistent dwell-time switched transition probabilities based on the Tagaki-Sugeno fuzzy model. The uncertainty of measurement output, which is assumed to occur randomly, and mode-dependent actuator faults are considered simultaneously. Moreover, the jumping property presented by system modes is described by the Markov chain of which transition probabilities are considered to be piecewise time-varying, and is described by adopting the more flexible persistent dwell-time switching rule. Based on the stochastic analysis approach and Lyapunov stability theory, some sufficient conditions are established to ensure the resulting closed-loop system being mean-square exponentially stable with the prescribed H1 performance. Furthermore, the desired controller gains can be obtained through solving a convex optimization problem. Finally, the practicability and availability of the proposed control method are illustrated by a numerical example and a modified tunnel diode circuit model.