Input–Output Finite-Time Stability for Switched T–S Fuzzy Delayed Systems With a Time-Dependent Lyapunov–Krasovskii Functional Approach

Sang, Hong; Wang, Peng; Zhao, Ying; Nie, Hong; Fu, Jun

doi:10.1109/tfuzz.2023.3269425

Cited by 7 publications

(1 citation statement)

References 53 publications

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“…To realize this practical need, in 1961, Dorato proposed finite-time stability [22]. Since finite-time stability has a better transient performance, a faster response speed, and a higher tracking accuracy, it has been applied to MJSs [23][24][25][26], T-S fuzzy systems [27][28][29], nonlinear pulse systems [30,31], mean-field systems [32][33][34], and so on.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Guo,

Li,

Liu

2024

Entropy

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This paper concentrates on the finite-time H∞ control problem for a type of stochastic discrete-time Markovian jump systems, characterized by time-delay and partly unknown transition probabilities. Initially, a stochastic finite-time (SFT) H∞ state feedback controller and an SFT H∞ observer-based state feedback controller are constructed to realize the closed-loop control of systems. Then, based on the Lyapunov–Krasovskii functional (LKF) method, some sufficient conditions are established to guarantee that closed-loop systems (CLSs) satisfy SFT boundedness and SFT H∞ boundedness. Furthermore, the controller gains are obtained with the use of the linear matrix inequality (LMI) approach. In the end, numerical examples reveal the reasonableness and effectiveness of the proposed designing schemes.

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Section: Introductionmentioning

confidence: 99%

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Guo,

Li,

Liu

2024

Entropy

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Finite‐time L₁ bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme

Wang,

Lin,

Zhang

et al. 2024

Intl J Robust & Nonlinear

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This work is concerned with the bumpless transfer control issue for switched positive delayed systems on finite horizons. A bumpless transfer input scheme and a state‐dependent limited frequency switching scheme, induced by the transient control input discontinuities during controller switching and by the frequent switching for multiple subsystems, respectively, are jointly introduced. The main advantages of the presented schemes are that the amplitude of the control input discontinuities and the frequent switches are all reduced by the dual design of bumpless transfer controllers for subsystems and a state‐dependent limited frequency switching scheme. By utilizing the multiple linear copositive Lyapunov functionals, sufficient conditions are also offered so as to achieve the desirable closed‐loop performances, including positivity, finite‐time boundedness, bumpless transfer property and a prescribed ‐gain property. Finally, a practical example is borrowed which validates the proposed schemes.

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Smc for discrete delayed semi-Markov switching systems

Shen,

Qi,

Park

et al. 2024

Nonlinear Dyn

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Input–Output Finite-Time Stability for Switched T–S Fuzzy Delayed Systems With a Time-Dependent Lyapunov–Krasovskii Functional Approach

Cited by 7 publications

References 53 publications

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Finite‐time L₁ bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme

Smc for discrete delayed semi-Markov switching systems

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Input–Output Finite-Time Stability for Switched T–S Fuzzy Delayed Systems With a Time-Dependent Lyapunov–Krasovskii Functional Approach

Cited by 7 publications

References 53 publications

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Finite‐time L1 bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme

Smc for discrete delayed semi-Markov switching systems

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Finite‐time L₁ bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme