Adaptive finite‐time output feedback control for Markov jumping nonlinear systems

Abstract

SummaryIn this article, the problem of output feedback tracking control for uncertain Markov jumping nonlinear systems is studied. A finite‐time control scheme based on command filtered backstepping and adaptive neural network (NN) technique is given. The finite‐time command filter solves the problem of differential explosions for virtual control signals, the NN is utilized to approximate the uncertain nonlinear dynamics and the adaptive NN observer is applied to restructure the state of system. The finite‐time error compensation mechanism is established to compensate the errors brought by filtering process. The proposed finite‐time tracking control algorithm can ensure that the solution of the closed‐loop system is practically finite‐time stable in mean square. Two simulation examples are employed to demonstrate the effectiveness of the proposed control algorithm.