Static output feedback control for continuous-time T-S fuzzy systems: An LMI approach

Jeung, Eun Tae; Lee, Kap Rai

doi:10.1007/s12555-013-0427-8

Cited by 35 publications

(18 citation statements)

References 17 publications

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“…The existence condition of a set of static output feedback gains is represented in terms of linear matrix inequalities (LMIs). The sufficient condition presented here does not need any transformation matrices and equality constraints and is less conservative than the previous results seen in [20]. …”

mentioning

confidence: 81%

“…은 양선형행렬부등식의 충분조건을 이용하여 선형행렬부등 식으로 변형하는 것이 주를 이루고 있다 이 중에서 [13][14][15][16][17][18][19][20]. 도 최근에 발표된 의 결과는 의 결과에서 등호조건 [20] [15]…”

Section: Iunclassified

“…과 본 논문에서는 [20]   는 대칭행렬이므로 변수가 10 개이다 그림 은 . 1 와 의 변화에 따라 의 정리 , [15] 9, 의 정리 본 논문의 정리 을 이용하여 안정화 제어 …”

Section: Iunclassified

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Static Output Feedback Control for Continuous T-S Fuzzy Systems

Jeung¹

2015

Journal of Institute of Control, Robotics and Systems

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This paper presents a design method of a static output feedback controller for continuous T-S fuzzy systems via parallel distributed compensation (PDC). The existence condition of a set of static output feedback gains is represented in terms of linear matrix inequalities (LMIs). The sufficient condition presented here does not need any transformation matrices and equality constraints and is less conservative than the previous results seen in [20].

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mentioning

confidence: 81%

Section: Iunclassified

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Static Output Feedback Control for Continuous T-S Fuzzy Systems

Jeung¹

2015

Journal of Institute of Control, Robotics and Systems

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“…Once there exist feasible h and Z j (y), λ can be obtained by (15) and the polynomial feedback gains K j (y) can be obtained by (16).…”

Section: A Basic Stability Analysis Of Static Output Feedback Ppfmb mentioning

confidence: 99%

“…The static output polynomial feedback gain can be obtained as K j (y) = Z j (y)/h 1 according to (16).…”

Section: A Basic Stability Analysis Of Static Output Feedback Ppfmb mentioning

confidence: 99%

Static Output Feedback Stabilization of Positive Polynomial Fuzzy Systems

Meng

Lam

et al. 2018

IEEE Trans. Fuzzy Syst.

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Abstract-This paper deals with the static output feedback stabilization of positive polynomial fuzzy-model-based (PPFMB) control systems. The positive polynomial fuzzy model does not need to share the same premise membership functions with the static output feedback polynomial fuzzy controller. Unlike the state feedback control case, the static output feedback control usually leads to non-convex stability conditions. To circumvent the problem, an approach is employed to transform the nonconvex stability conditions into convex ones by introducing a nonsingular transformation matrix. Initially, the conditions guaranteeing the resultant closed-loop systems to be positive and asymptotically stable are obtained. Moreover, the divisional approximated membership functions which carry the local information of the membership functions are employed to facilitate the stability analysis and controller synthesis. The relaxed stability conditions in terms of sum of squares (SOS) are obtained based on Lyapunov stability theory. Finally, a simulation example is given to testify the validity of the analysis result.

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Novel Optimal Design Approach for Output‐Feedback H_∞ Control of Vehicle Active Seat‐Suspension System

Wei

Cai

Zhang

et al. 2018

Asian Journal of Control

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In this paper, the output-feedback control problem of a vehicle active seat-suspension system is investigated. A novel optimal design approach for an output-feedback H ∞ controller is proposed. The main objective of the controller is to minimize the seat vertical acceleration to improve vehicle ride comfort. First, the human body and the seat are considered in the modeling of a vehicle active suspension system, which makes the model more precise. Other constraints, such as tire deflection, suspension deflection and actuator saturation, are also considered. Then the output-feedback control strategy is adopted since some state variables, such as body acceleration and body deflection, are unavailable. A concise and effective approach for an output-feedback H ∞ optimal control is presented. The desired controller is obtained by solving the corresponding linear matrix inequalities (LMIs) and by the calculation of equations proposed in this paper. Finally, a numerical example is presented to show the effectiveness and advantages of the proposed controller design approach.

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Static output feedback control for continuous-time T-S fuzzy systems: An LMI approach

Cited by 35 publications

References 17 publications

Static Output Feedback Control for Continuous T-S Fuzzy Systems

Static Output Feedback Control for Continuous T-S Fuzzy Systems

Static Output Feedback Stabilization of Positive Polynomial Fuzzy Systems

Novel Optimal Design Approach for Output‐Feedback H_∞ Control of Vehicle Active Seat‐Suspension System

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Static output feedback control for continuous-time T-S fuzzy systems: An LMI approach

Cited by 35 publications

References 17 publications

Static Output Feedback Control for Continuous T-S Fuzzy Systems

Static Output Feedback Control for Continuous T-S Fuzzy Systems

Static Output Feedback Stabilization of Positive Polynomial Fuzzy Systems

Novel Optimal Design Approach for Output‐Feedback H∞ Control of Vehicle Active Seat‐Suspension System

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Novel Optimal Design Approach for Output‐Feedback H_∞ Control of Vehicle Active Seat‐Suspension System