Event‐triggered finite‐time control for a class of switched nonlinear systems

Abstract

This work addresses the event‐triggered finite‐time control problem for a class of uncertain switched nonlinear systems with arbitrary switchings, whose powers are positive odd rational numbers. The key difference from the results of similar problems is that the systems considered in this article are more general, which contains a special case when the powers are equal to 1, and the powers have switching signals. It is well known that such nonlinear systems have challenges because of the uncontrollability in the linearization process and the backstepping technique that successfully developed for low‐order systems fail to work. To tackle this issue, combining the backstepping method, event‐triggered strategy with adding one power integrator technique, an event‐triggered control scheme is developed to make the controlled systems be globally finite‐time stable. Besides, the Zeno‐free behavior is proved to verify the feasibility of the proposed event‐triggered mechanism. Finally, simulation results are given to validate the effectiveness of the developed control strategy.

Resilient annular finite‐time synchronization for master‐slave systems under scaling attacks

“…For example, asymptotic stability and stabilization problems [19], disturbance attenuation performance [20], and so on. In missile systems, chemical reaction processes, and industrial manufacturing, more attention is paid to transient response over a fixed period of time, as per references [16] and [21]. Next, the concept of finite-time stability (FTS) is addressed, which requires that the state of a real process has an upper limit within a finite-time frame, and is different from asymptotic Lyapunov stability during an infinite time interval.…”

Adaptive fuzzy event‐triggered fault‐tolerant control of switched nonlinear systems with actuator failures under state‐dependent switchings

“…Moreover, the event‐triggered control (ETC) method is also employed to SNSs. The authors in References 19‐23 investigated the problem of event‐triggered adaptive fuzzy control for SNSs based on CLF method. The problem of event‐triggered finite‐time control for uncertain SNSs was studied in Reference 19.…”

Adaptive fault‐tolerant decentralized tracking control of switched stochastic uncertain nonlinear systems with time‐varying delay

“…[1][2][3][4][5][6][7][8][9] For example, by merging the adaptive neural control 10 and decentralized control method, 1 an adaptive neural decentralized control strategy was proposed, 9 in which the neural network (NN) was applied to approximate the unknown nonlinear function. On the other hand, as a typical hybrid dynamic system, [11][12][13][14][15][16][17][18][19][20][21] switched system which includes multiple subsystems and switching laws, is able to simulate more practical systems than the non-switched system. Given the combination of nonlinear characteristics and large-scale systems framework, many researchers have invested in studying switched nonlinear large-scale systems and many remarkable research results have been proposed.…”