Quantized state feedback-based $$\varvec{\mathcal {H}_\infty }$$ control for nonlinear parabolic PDE systems via finite-time interval

Li, Teng-Fei; Chang, Xiao‐Heng; Park, Ju H.

doi:10.1007/s11071-022-07553-w

Cited by 6 publications

(2 citation statements)

References 55 publications

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“…The state feedback guaranteed cost control problem for nonlinear NCS with polytopic uncertainties was discussed by Chang et al (2019). Generally, it has difficulty acquiring the complete state information during real process, so the output feedback approach (Belfeki, 2020;Cheng et al, 2020;Li et al 2020b) is more general than that of state feedback-based methodologies (Li et al, 2022;Liu et al, 2022;Yang et al, 2016). To our surprise, most recently, Zheng et al (2021) addressed the dynamic quantized guaranteed cost control problem for T-S fuzzy system, where the static output feedback method was explored.…”

Section: Introductionmentioning

confidence: 99%

Quantized guaranteed cost dynamic output feedback control for uncertain nonlinear networked systems with external disturbance

Huang,

Tang,

Xia

et al. 2024

Transactions of the Institute of Measurement and Control

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In this article, the guaranteed cost control problem for a class of nonlinear networked control systems (NCSs) with dynamic quantization, external bounded disturbance, and data dropout is investigated via the dynamic output feedback. The Takagi–Sugeno (T-S) fuzzy model is used to represent the discrete-time nonlinear system discussed in this paper. Under the dynamic quantization strategy, two quantizers with dynamic parameters are used to quantize the measured output and control input, and the data dropout process is described by introducing the Bernoulli stochastic variable. By using the quadratic boundedness technique, the quadratic stability of the quantized NCS with external disturbance is described. Furthermore, the sufficient condition for the global design approach are proposed, that is, not only the dynamic output feedback controller but parameters of the quantizers are designed synchronously with strict linear matrix inequalities. Eventually, a simulation of nonlinear mass-spring-damper mechanical system is carried out to verify the effectiveness of the provided algorithm.

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Section: Introductionmentioning

confidence: 99%

Quantized guaranteed cost dynamic output feedback control for uncertain nonlinear networked systems with external disturbance

Huang,

Tang,

Xia

et al. 2024

Transactions of the Institute of Measurement and Control

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show abstract

“…Fast convergence is always preferred which indicates better system performance and robustness [5,6]. For the sake of accelerating the convergence rate, finite-time control was proposed in recent years, see [7] and references therein. At present, some finite-time control results have been reported on quantized nonlinear systems in [8][9][10] with the help of adding a power integrator and adaptive control techniques.…”

Section: Introductionmentioning

confidence: 99%

Prespecifiable fixed‐time control for uncertain nonlinear system with input quantization

Gao

Chen

et al. 2023

IET Control Theory & Appl

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This paper focuses on the global prespecifiable fixed-time control problem of uncertain strict-feedback nonlinear system with input quantization. In contrast to the existing fixedtime control results, the signs of the control gains can be unknown in our paper. Unlike the traditional fixed-time control schemes, some exponential functions are added into the virtual controllers to accelerate the convergence rate. Besides, some dynamic switching functions are also introduced to compensate the unknown control signs. Based on the novel regulate law, the switching functions can be regulated online to ensure the fixed-time stability for the considered system. Furthermore, the settling time can be easily adjusted by selecting the controller parameters. Simulation results are provided to illustrate the effectiveness of the proposed control scheme.

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Quantized control based on fixed-time and predefined-time stabilization of coupled Filippov systems on networks with mismatched parameters

Meng,

Kong,

Zhu

et al. 2024

Nonlinear Dyn

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Quantized state feedback-based $$\varvec{\mathcal {H}_\infty }$$ control for nonlinear parabolic PDE systems via finite-time interval

Cited by 6 publications

References 55 publications

Quantized guaranteed cost dynamic output feedback control for uncertain nonlinear networked systems with external disturbance

Quantized guaranteed cost dynamic output feedback control for uncertain nonlinear networked systems with external disturbance

Prespecifiable fixed‐time control for uncertain nonlinear system with input quantization

Quantized control based on fixed-time and predefined-time stabilization of coupled Filippov systems on networks with mismatched parameters

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