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

Abstract

In 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.

Event‐based adaptive finite‐time control scheme with improved performance assurance for nonlinear Markov jumping systems

“…16 Due to the numerous advantages of the CFBC method, it has been extensively applied in nonlinear research soon after it was proposed. [17][18][19][20] In Reference 17, the finite-time CFBC tackled the tracking problem of nonlinear systems. The combination of CFBC and adaptive neural network output feedback in Reference 18 addressed the trajectory tracking issue of nonlinear MJSs.…”

“…Fortunately, the command‐filtered backstepping control (CFBC) method can effectively eliminate this error through an error compensation mechanism 16 . Due to the numerous advantages of the CFBC method, it has been extensively applied in nonlinear research soon after it was proposed 17–20 . In Reference 17, the finite‐time CFBC tackled the tracking problem of nonlinear systems.…”

“…In Reference 17, the finite‐time CFBC tackled the tracking problem of nonlinear systems. The combination of CFBC and adaptive neural network output feedback in Reference 18 addressed the trajectory tracking issue of nonlinear MJSs. An adaptive predefined‐time CFBC was engineered in Reference 20 for multi‐quadrotors subject to unknown malicious attacks.…”

Dissipative fault detection for time‐delay nonlinear Markov jump systems with measurement outliers under stochastic communication protocol

“…Markov jump systems (MJSs) have excellent ability to describe the sudden changes of system parameters or structures, so that it has significant applications in many fields. [1][2][3] Additionally, time-delay is an inevitable phenomenon in many engineering systems that may cause performance degradations or even instability. [4][5][6] In the past two decades, a large number of literatures on time-delay MJSs have been reported in the fields of filtering, estimation, control and so on.…”

“…Markov jump systems (MJSs) have excellent ability to describe the sudden changes of system parameters or structures, so that it has significant applications in many fields 1‐3 . Additionally, time‐delay is an inevitable phenomenon in many engineering systems that may cause performance degradations or even instability 4‐6 .…”