Reachable set synthesis for singular systems with time-varying delay via the adaptive event-triggered scheme

Zhang, Liang; Cao, Yuning; Feng, Zhiguang; Zhao, Ning

doi:10.1016/j.jfranklin.2021.11.032

Cited by 10 publications

(1 citation statement)

References 42 publications

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“…The authors of [13] designed an integrated switching function to study the fault detection of a sliding mode controller for the fuzzy singular system. In [14], the problem of an adaptive event triggering the reachable set synthesis for a class of singular systems with time-varying delay was studied. Compared with the static event triggering mechanism, the adaptive event triggering mechanism saves communication resources effectively.…”

Section: Introductionmentioning

confidence: 99%

Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System

Yang

Zheng

2022

Symmetry

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In order to solve the admissibility problem for a class of nonlinear singular systems with sampling, nonlinearity, and external disturbances, a sample-data control algorithm based on input delay methodology is proposed in this paper. Firstly, the system is converted to a time-delay system based on Takagi–Sugeno fuzzy models via an input delay approach, with many novel time-delay methods being used to deal with the sampled-data control problem. Secondly, both the upper and lower bounds of the sampling period are considered, which has a wider application scope. Thirdly, to obtain less conservative results, an appropriate Lyapunov–Krasovskii function, which involves several symmetric positive definite matrices, is established, and a relaxation variable is introduced by the method of reciprocally convex inequality. Then the conditions of admissibility are given, and the design method of the sampled-data controller is introduced. Finally, a truck-trailer example and two numerical examples are given to prove that the proposed approaches are valid and applicable.

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Section: Introductionmentioning

confidence: 99%