<i>L</i><sub>2</sub>-based static output feedback controller design for a class of polytopic systems with actuator saturation

Goyal, Jitendra Kumar; Aggarwal, Shubham; Ghosh, Sandip; Dworak, P.

doi:10.1080/00207179.2021.1900605

Cited by 14 publications

(6 citation statements)

References 51 publications

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“…On the other hand, let 2 , and 2 . en, by substituting (20) into ( 7), (8), we can G i and U i , which are shown by ( 23)- (26).…”

Section: Example and Simulationsmentioning

confidence: 99%

“…As a factor that may cause system instability and a ect system performance, actuator saturation (AS) widely exists in actual dynamic systems [21][22][23][24][25][26][27][28], [29]. Neglecting the adverse e ect of AS will not only result in performance degradation of the closed-loop system but also give rise to instability.…”

Section: Introductionmentioning

confidence: 99%

“…Neglecting the adverse e ect of AS will not only result in performance degradation of the closed-loop system but also give rise to instability. For this reason, many scholars have paid their attention to the stability analysis and controller design for switched systems subject to AS [21][22][23][24][25][26][27]. However, most of these results are aimed at switched linear systems subject to AS, and the relevant results are more limited for the nonlinear systems subject to AS.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Parameterized $H_{\infty}$ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

Zhu

2022

Mathematical Problems in Engineering

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This paper is concerned with the global asymptotical stabilization and L 2 disturbance attenuation problem for the switched polynomial Hamiltonian systems subject to actuator saturation. To achieve the above objective, a parameterized controller is designed and a parameter solution algorithm is presented. Compared with the controller designed with the existing method, the parameterized controller has greater functionality. By choosing an appropriate value for the parameter according to its obtained feasible interval value, a better performance can be achieved. At last, two numerical examples are provided to verify the effectiveness of the proposed approach.

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“…On the other hand, let 2 , and 2 . en, by substituting (20) into ( 7), (8), we can G i and U i , which are shown by ( 23)- (26).…”

Section: Example and Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Parameterized $H_{\infty}$ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

Zhu

2022

Mathematical Problems in Engineering

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“…In Reference 13, a SOF controller for Takagi–Sugeno fuzzy model with input saturation has been proposed. In References 14 and 15, design methods for SOF controllers of saturated continuous‐time LPV and polytopic systems, respectively, have been introduced. In Reference 11, a condition for the existence of SOF control of nonlinear parameter‐varying systems under control saturation has been presented.…”

Section: Introductionmentioning

confidence: 99%

Static output‐feedback stabilization of discrete‐time linear parameter‐varying systems under actuator saturation

Peixoto

Coutinho

Bessa

et al. 2022

Intl J Robust & Nonlinear

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This paper introduces a novel local synthesis condition for gain‐scheduling static output‐feedback control of discrete‐time linear parameter‐varying (LPV) systems under actuator saturation and state constraints. The proposed condition is formulated as a set of parameter‐dependent linear matrix inequalities that are incorporated into a convex optimization procedure to provide an enlarged estimate of the region of attraction of the closed‐loop equilibrium. In contrast with related works, the proposed approach allows handling a wider class of LPV systems since no rank condition is required to employ the so‐called equality constraints.

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“…Dong et al (2019): the following assertions are equivalent:Goyal et al, (2022): for matrices Ω 1 , Ω 2 , Ω 3 , Ω 4 and scalar β,…”

mentioning

confidence: 99%

Observer-based preview control for T-S fuzzy systems

Li,

Ye,

Meng

2024

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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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L₂-based static output feedback controller design for a class of polytopic systems with actuator saturation

Cited by 14 publications

References 51 publications

Parameterized $H_{\infty}$ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

Parameterized $H_{\infty}$ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

Static output‐feedback stabilization of discrete‐time linear parameter‐varying systems under actuator saturation

Observer-based preview control for T-S fuzzy systems

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L2-based static output feedback controller design for a class of polytopic systems with actuator saturation

Cited by 14 publications

References 51 publications

Parameterized H ∞ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

Parameterized H ∞ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

Static output‐feedback stabilization of discrete‐time linear parameter‐varying systems under actuator saturation

Observer-based preview control for T-S fuzzy systems

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L₂-based static output feedback controller design for a class of polytopic systems with actuator saturation

Parameterized $H_{\infty}$ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

Parameterized $H_{\infty}$ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation