PD Control-Based Reachable Set Synthesis for Singular Takagi–Sugeno Fuzzy Systems With Time-Varying Delay

Feng, Zhiguang; Zhang, Huayang; Zheng, Wei Xing

doi:10.1109/tcyb.2022.3210184

Cited by 8 publications

(3 citation statements)

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“…An OF controller comprising ( 6) and ( 8) is designed to force a predetermined ellipsoid to contain the ORS of system (9). Lemma 1 (Feng et al, 2022): For an arbitrary matrix A > 0, the following inequality holds for the function @ 2 m; n ½…”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

“…Lemma 1 (Feng et al , 2022): For an arbitrary matrix A > 0, the following inequality holds for the function ℵ∈(true[m,ntrue],ℜx) is continuously differentiable: where: …”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

“…It is noted that proportional plus derivative (PD) control is also one of the important means to analyze SSs. The PD controller can transform the SS into a normal system for research, such as a PD state feedback controller was designed by Feng et al (2022) to guarantee the fuzzy SSs is normal and the state of the system has a derived ellipsoidal bound.…”

Section: Introductionmentioning

confidence: 99%

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Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Yin,

Zhang,

Zhao

2024

RIA

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Purpose This paper aims to study the issues of output reachable set estimation for the linear singular Markovian jump systems (SMJSs) with time-varying delay based on a proportional plus derivative (PD) bumpless transfer (BT) output feedback (OF) control scheme. Design/methodology/approach To begin with, a sufficient criterion is given in the form of a linear matrix inequality based on the Lyapunov stability theory. Then, a PD-BT OF controller is designed to keep all the output signs of the system are maintain within a predetermined ellipsoid. Finally, numerical and practical examples are used to demonstrate the efficiency of the approach. Findings Based on PD control and BT control method, an OF control strategy for the linear SMJSs with time-varying delay is proposed. Originality/value The output reachable set synthesis of linear SMJSs with time-varying delay can be solved by using the proposed approach. Besides, to obtain more general results, the restrictive assumptions of some parameters are removed. Furthermore, a sufficiently small ellipsoid can be obtained by the design scheme adopted in this paper, which reduces the conservatism of the existing results.

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Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

“…Lemma 1 (Feng et al , 2022): For an arbitrary matrix A > 0, the following inequality holds for the function ℵ∈(true[m,ntrue],ℜx) is continuously differentiable: where: …”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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