Robust generalised ℋ2 and ℋ∞ static output feedback control for uncertain discrete-time fuzzy systems

Zhang, J.; Xia, Yuanqing; Mahmoud, Magdi S.

doi:10.1049/iet-cta.2008.0146

Cited by 14 publications

(4 citation statements)

References 28 publications

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“…m Remark 3: Compared with the researches in [10], [12], [14], [16] and [17], it is worth noting in (11a) that the system equation in the last equality is equivalently rewritten in a new form by rationally exploiting the synchronous membership functions of the T-S fuzzy models (5) and (7), and so be the controlledoutput equation. This treatment is a preparation for reducing the conservatism in the derived results by more rationally exploiting the synchronous membership functions of (5) and (7) in the proposed Lyapunov-Krasovskii method.…”

Section: Iiia a Randomly Switched T-s Fuzzy Model Of The Nonlinear mentioning

confidence: 99%

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Fuzzy-Model-Based Robust $H_{\infty}$ Design of Nonlinear Packetized Networked Control Systems

Tang

Peng

Zhang

2016

IEEE Trans. Fuzzy Syst.

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This paper is concerned with the fuzzy-model-based robust H ∞ design of a nonlinear packetized networked control system with time-varying transmission delays and transmission intervals based on a delay-distribution approach combined with an improved Lyapunov-Krasovskii method. By the delay-distribution approach, the real-time distribution of input delays is described as a dependent and nonidentically distributed process, and the nonlinear packetized networked control system is modeled as a novel randomly switched Takagi-Sugeno fuzzy system with multiple uncertain input-delay subsystems. The improved Lyapunov-Krasovskii method is proposed to more rationally exploit the realtime distribution of input delays and the synchronous membership functions of the Takagi-Sugeno fuzzy models of the plant and the packetized parallel distributed compensation scheme. New delay-distribution-dependent sufficient conditions are derived for the deterministic robust exponential stability and H ∞ performance of the overall system. The resulting controller design method of the packetized parallel distributed compensation scheme is equivalent to an iterative linear optimization algorithm with linear matrix inequality constraints. Detailed numerical examples are presented to substantiate the effectiveness and advantage of our theoretical results.Index Terms-Packetized networked control system, Takagi-Sugeno fuzzy model, delay-distribution approach 1063-6706 (c)

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Section: Iiia a Randomly Switched T-s Fuzzy Model Of The Nonlinear mentioning

confidence: 99%

“…To appropriately bound the first integral term, two different techniques based on Lemmas 1 and 2 are adopted with respect to . If the associated treatment in [10], [12], [14], [16] and [17] is used to…”

Section: Remarkmentioning

confidence: 99%

Fuzzy-Model-Based Robust $H_{\infty}$ Design of Nonlinear Packetized Networked Control Systems

Tang

Peng

Zhang

2016

IEEE Trans. Fuzzy Syst.

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“…Another reason to performance deterioration is nonlinear disturbance which could be handled by robust control approaches. In detail, for disturbances rejection,

ℋ_{\infty}

robust controller, like in through convex optimization, is an effective way in state‐space formulation‐based control regime. Like in , Sun invents a filter in finite frequency for vehicle active suspension system and the result achieves perfect disturbance attenuation performance.…”

Section: Introductionmentioning

confidence: 99%

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Wang

Lin

2016

Complexity

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This article deals with the positioning control problem via the output feedback scheme for a linear actuator with nonlinear disturbances. In this study, the proposed controller accounts for not only the nonlinear friction, force ripple, and external disturbance but also the input saturation problem. In detail, the energy consumption for conquering friction and disturbance rejection is estimated and used as compensation based on the hybrid controller including ℋ∞ and sliding‐mode‐based adaptive algorithms, which ensures the tracking performance and robustness of electromechanical servo system. Moreover, to confront the input saturation, a saturation observer and an anti‐windup controller are designed. The global robustness of the controller is guaranteed by an output feedback robust law. Theoretically, the designed controller can guarantee a favorable tracking performance in the presence of various disturbance forces and input saturation, which is essential for high accuracy motion plant in industrial application. The simulation results verify the robustness and effectiveness for the motion system with the proposed control strategy under various operation conditions. © 2016 Wiley Periodicals, Inc. Complexity 21: 191–200, 2016

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“…10 A class of “policy holding” strategies have been proposed in the presence of measurement noise in Garone et al 11 H 2 and H ∞ were usually used to handle control problems. 12 A generalized H 2 state feedback and dynamic output-feedback controllers have been designed for a class of linear discrete-time hybrid systems with time-varying delays. 13 A switched linear parameter-varying approach has been designed for rigid longitudinal dynamics of a hypersonic aircraft under the ADT and mode-dependent average dwell time (MDADT) switching logics which can ensure the tracking of given commands from the closed-loop system in control of hypersonic aircraft.…”

Section: Introductionmentioning

confidence: 99%

Design of adaptive switching control for hypersonic aircraft

Jiao

Jiang

2015

Advances in Mechanical Engineering

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This article proposes a novel adaptive switching control of hypersonic aircraft based on type-2 Takagi-Sugeno-Kang fuzzy sliding mode control and focuses on the problem of stability and smoothness in the switching process. This method uses full-state feedback to linearize the nonlinear model of hypersonic aircraft. Combining the interval type-2 TakagiSugeno-Kang fuzzy approach with sliding mode control keeps the adaptive switching process stable and smooth. For rapid stabilization of the system, the adaptive laws use a direct constructive Lyapunov analysis together with an established type-2 Takagi-Sugeno-Kang fuzzy logic system. Simulation results indicate that the proposed control scheme can maintain the stability and smoothness of switching process for the hypersonic aircraft.

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Robust generalised ℋ2 and ℋ∞ static output feedback control for uncertain discrete-time fuzzy systems

Cited by 14 publications

References 28 publications

Fuzzy-Model-Based Robust $H_{\infty}$ Design of Nonlinear Packetized Networked Control Systems

Fuzzy-Model-Based Robust $H_{\infty}$ Design of Nonlinear Packetized Networked Control Systems

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Design of adaptive switching control for hypersonic aircraft

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