H∞H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach☆

Assawinchaichote, Wudhichai; Nguang, Sing Kiong; SHI, P

doi:10.1016/s0005-1098(04)00219-5

Cited by 65 publications

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“…특이섭동 현상은 도립진자 시스템의 관성모멘트 (inertia) [2], 터널다이오드 회로의 기생(parasitic) 인덕턴스 등 비선형시스템에서도 관찰된다 [3]. 선형시스템에서의 특이섭동은 다수 연구되었으며 [4][5][6][7], 비선형시스템, 특히 특이섭동 타카기-수게노(T-S) 퍼지모델의 제어에 관련된 연구도 수행되고 있다 [8][9][10].…”

Section: 서 론 섭동(Perturbation)은 안정된 궤적상의 운동상태에 미소한 충 격을 가해 운동상태가 교란되는 unclassified

Robust ℋ_∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

Kang¹,

Moon²,

Lee³

2016

The Transactions of The Korean Institute of Electrical Engineer

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Section: 서 론 섭동(Perturbation)은 안정된 궤적상의 운동상태에 미소한 충 격을 가해 운동상태가 교란되는 unclassified

Robust ℋ_∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

Kang¹,

Moon²,

Lee³

2016

The Transactions of The Korean Institute of Electrical Engineer

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“…The extension to output feedback with a state observer is quite straightforward when the premise variables z in (3) are measurable, in which case the separation principle holds [28]. In [53] and [2] dynamic output-feedback control is considered.…”

Section: The Control Design Problem and Its Solutionsmentioning

confidence: 99%

Perspectives of fuzzy systems and control

Sala

Guerra

Babuška

2005

Fuzzy Sets and Systems

365

143

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Although fuzzy control was initially introduced as a model-free control design method based on the knowledge of a human operator, current research is almost exclusively devoted to model-based fuzzy control methods that can guarantee stability and robustness of the closed-loop system. State-of-the-art techniques for identifying fuzzy models and designing model-based controllers are reviewed in this article. Attention is also paid to the role of fuzzy systems in higher levels of the control hierarchy, such as expert control, supervision and diagnostic systems. Open issues are highlighted and an attempt is made to give some directions for future research.

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“…∞ control was addressed for fuzzy SPSs in [11,[29][30][31], and sufficient conditions independent of for the existence of ∞ controller were presented. The resulting conditions in [11,[28][29][30][31] are only applicable to stabilizing the system and being with an ∞ performance for sufficiently small . Hence, some researchers have concentrated on the -bound design problem for fuzzy SPSs [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Wang

Zhou

Dai

et al. 2017

Mathematical Problems in Engineering

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This paper is concerned with the design of fuzzy controller with guaranteed ∞ performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems. First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter is developed. This controller is shown to work well for all ∈ (0, 0 ]. Then, for sufficiently small , an -independent controller design method is proposed. Furthermore, under the -independent controller, the -bound estimation problem of the overall switched closed-loop system is solved. Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.

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H∞H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach☆

Cited by 65 publications

References 0 publications

Robust ℋ_∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

Robust ℋ_∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

Perspectives of fuzzy systems and control

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

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H∞H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach☆

Cited by 65 publications

References 0 publications

Robust ℋ∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

Robust ℋ∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

Perspectives of fuzzy systems and control

H∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Contact Info

Product

Resources

About

Robust ℋ_∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

Robust ℋ_∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems