Switching threshold‐based event‐triggered adaptive asymptotic tracking control for stochastic nonlinear systems with full‐state constraints

Abstract

In this article, the problem of event-triggered adaptive asymptotic tracking control (ATC) for stochastic nonlinear systems with unknown control directions (UCDs) and full state constraints is concerned. It must be said that the controller design and system analysis is more complex and difficult since the existence of stochastic disturbances, UCDs and full state constraints simultaneously. By introducing the lower bound of the UCDs into the barrier Lyapunov functions, an event-triggered adaptive MTN ATC scheme is proposed based on the boundary estimation method and a new event-triggered control (ETC) strategy, which can achieve satisfactory asymptotic tracking performance and control performance of the system, while reduce the occupation of network resources. The simulation results not only verify the effectiveness of the proposed control scheme, but also present different tracking performances between three ETC strategies for comparison, further confirming the superiority of the proposed ETC strategy in achieving asymptotic tracking performance.

Adaptive finite‐time control for a class of stochastic nonlinear systems with input saturation constraints: A new approach based on multidimensional Taylor network

“…As stated in Reference 58, MTN has the advantages of simple structure and low computational complexity compared to NN and FLS, and many exciting results have been obtained. 16,46 Therefore, we can conclude that MTN is suited for modeling and controlling of stochastic nonlinear systems.…”

“…The ability of MTN to uniformly approximate continuous function over a compact set is introduced in the previous work. 16,[55][56][57] Lemma 5 (16,56). For any continuous function f (𝝌) defined on a compact set Ω, and for any 𝜀 > 0, there exists a MTN 𝜽 T P m n (𝝌), such that…”

“…14,15 Among them, multidimensional Taylor network (MTN), a new NN model, exhibits predominance in stochastic nonlinear systems, and many achievements have been achieved. [16][17][18] It should be noted that although the above-mentioned research studies have achieved a great progress, the considered control schemes are all nonfinite time control methods, and also unsuitable to solve the stochastic nonlinear systems with input saturation constraints.…”

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

“…In Reference 23 , the problem of decentralized dynamic ETC for SNSs with unstable inverse dynamics was studied. The authors in Reference 24 developed an ETC scheme for strict-feedback SNSs, and the ETC problem for SNSs with full-state constraints was investigated in Reference 25 . In Reference 26 , an adaptive fuzzy ETC scheme was developed for SNSs with dead-zone nonlinearity, and a adaptive switching ETC strategy for uncertain SNSs with predefined accuracy was developed in Reference 27 .…”