Robust preview control for polytopic nonlinear control systems

Li, Li; Yu, Xiao

doi:10.1177/0142331221992171

Cited by 3 publications

(3 citation statements)

References 41 publications

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“…Because this approach is lengthy and cannot include the control performance parameters directly, under the framework of linear quadratic optimal control, optimal preview controller design methods were presented for linear time-invariant discrete-time systems (Katayama et al ., 1985; Lu et al ., 2019; Lan et al ., 2020) and linear continuous-time systems (Liao et al ., 2018; Lu et al ., 2023). Considering the requirements of actual control systems, PC has been extended to complex systems, such as uncertain systems (Li et al ., 2021a; Gershon and Shaked, 2014; Li, 2021; Xie et al ., 2023), nonlinear systems (Huang and Huang, 2020; Yu and Liao, 2019; Li and Yu, 2021), multi-agent systems (Li et al ., 2021b; Liao et al ., 2016) and large-scale systems (Liao et al. , 2018; Li and Zhang, 2021).…”

Section: Introductionmentioning

confidence: 99%

Observer-based preview control for T-S fuzzy systems

Li,

Ye,

Meng

2024

Self Cite

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PurposeConsidering the unmeasurable states of the systems and the previewed reference signal, a novel fuzzy observer-based preview controller, which is a mixed controller of the fuzzy observer-based controller, fuzzy integrator and preview controller, is considered to address the tracking control problem.Design/methodology/approachThe authors employ an augmentation technique to construct an augmented error system for uncertain T-S fuzzy discrete-time systems with time-varying uncertainties. Additionally, the authors obtain the corresponding linear matrix inequality (LMI) conditions for designing the preview controller.FindingsThis paper discusses the preview tracking problem for nonlinear systems. First, considering the unmeasurable states of the systems and the previewed reference signal, a novel fuzzy observer-based preview controller, which is a mixed controller of the fuzzy observer-based controller, fuzzy integrator, and preview controller, is considered to address the tracking control problem. Then, using the fuzzy Lyapunov functional with the linear matrix inequality (LMI) technique, new sufficient conditions for the asymptotic stability of the augmented system are derived by applying the LMI technique. The preview controller and fuzzy observer can be designed in one step. Finally, a numerical example is used to illustrate the effectiveness of the results.Originality/valueAn augmented error system is successfully constructed by the state augmentation approach. A novel preview controller is designed to address the tracking control problem. The preview controller and fuzzy observer can be designed in one step.

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Section: Introductionmentioning

confidence: 99%

Observer-based preview control for T-S fuzzy systems

Li,

Ye,

Meng

2024

Self Cite

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“…Considering that the nonlinearity exists extensively in automatic control theory, neural networks and biological model, and so on (Aleksandrov, 1996; Aleksandrov and Platonov, 2008; Li and Xiao, 2021), some results on nonlinear positive systems have been reported, such as stability analysis (Bartosiewicz, 2019; Bokharaie and Mason, 2014), L 1 -gain performance analysis (Qi et al, 2019), model reduction (Härdin and Schuppen, 2016), and controller and observer designs (Goodwin et al, 2018; He et al, 2018; Zhang et al, 2019). A homogeneous positive system, a special kind of nonlinear positive systems, is studied in this paper.…”

Section: Introductionmentioning

confidence: 99%

Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

Liu

Wang

2023

Transactions of the Institute of Measurement and Control

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In this paper, the finite-time stability for a class of switched homogeneous positive systems (SHPSs) is discussed. First, each subsystem is assumed to be finite-time stable and the degree of homogeneity satisfies [Formula: see text]. A new variable cyclic dwell-time approach is proposed, which allows for greater flexibility in switching signal design than the existing cyclic dwell-time approach. By virtue of the variable cyclic dwell-time and switched max-type separated Lyapunov function methods, the finite-time stability criterion for SHPSs is established and the settling time is obtained. Moreover, the stability result is extended to SHPSs containing unstable subsystems. Finally, two simulation examples are provided to demonstrate the effectiveness of the theoretical analysis.

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“…This case makes controlling nonlinear systems difficult. The research on nonlinear system control has become challenging, with novel control techniques proposed in the literature (Li and Yu, 2021; Nguyen, 2023; Znidi et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

Kızmaz

2023

Transactions of the Institute of Measurement and Control

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A current challenge with adaptive controllers is to define efficient tuning methods of the controller parameters. Unlike linear systems, nonlinear systems may need parameters that are continuously tuned at different operating points to provide stability and desired behaviours. This study aims to develop a solution for tuning proportional–integral–derivative (PID) controller parameters as opposed to changing the operating points of a nonlinear system. Most tuning methods calculate parameters according to the system’s step or frequency response. However, adaptive controllers have self-tuneable parameters or control rules. The proposed algorithm in this paper contains a controller, an estimator, and a reference model, and uses the system model. Unlike the model reference adaptive control method, the proposed controller has tuneable controller parameters estimated by the extended Kalman–Bucy filter. The filter estimates the controller parameters to make the system perform like the auxiliary ideal reference model to ensure minimum-time consumption. Hence, this study aims to develop an algorithm that will automatically calculate controller parameters for each operating point of the controlled chaotic or nonlinear system to minimize settling time at each operating point. The proposed algorithm is implemented in a unified chaotic system in which the estimator and controller of the system run together. Simulation results confirm the performance of the proposed algorithm. In addition, the simulation results provide strong evidence that the proposed algorithm can be an effective tool for controlling nonlinear or chaotic systems.

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Robust preview control for polytopic nonlinear control systems

Cited by 3 publications

References 41 publications

Observer-based preview control for T-S fuzzy systems

Observer-based preview control for T-S fuzzy systems

Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

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