• 제목/요약/키워드: Integral Quadratic Constraints

검색결과 6건 처리시간 0.016초

A Fault Detection System Design for Uncertain Fuzzy Systems

  • Yoo, Seog-Hwan
    • 한국정보기술응용학회:학술대회논문집
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    • 한국정보기술응용학회 2005년도 6th 2005 International Conference on Computers, Communications and System
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    • pp.107-112
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    • 2005
  • This paper deals with a fault detection system design for uncertain nonlinear systems modelled as T-S fuzzy systems with the integral quadratic constraints. In order to generate a residual signal, we used a left coprime factorization of the T-S fuzzy system. From the filtered signal of the residual generator, the fault occurence can be detected effectively. A simulation study with nuclear steam generator level control system shows that the suggested method can be applied to detect the fault in actual applications.

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An H Output Feedback Control for Uncertain Singularly Perturbed T-S Fuzzy Systems

  • 류석환;오설동
    • 한국지능시스템학회논문지
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    • 제19권6호
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    • pp.840-847
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    • 2009
  • This paper deals with an $H_{\infty}$ output feedback controller design for uncertain singularly perturbed T-S fuzzy systems. Integral quadratic constraints are used to describe various kinds of uncertainties of the plant. It is shown that the $H_{\infty}$ norm of the uncertain singularly perturbed fuzzy system is less than $\gamma$ for a sufficiently small $\varepsilon$ > 0 if the $H_{\infty}$ norms of both the slow and fast subsystem are less than $\gamma$. Using this fact, we develop a linear matrix inequality based design method which is independent of the singular perturbation parameter $\varepsilon$. A numerical example is provided to demonstrate the efficacy of the proposed design method.

INDEFINITE STOCHASTIC OPTIMAL LQR CONTROL WITH CROSS TERM UNDER IQ CONSTRAINTS

  • Luo, Cheng-Xin;Feng, En-Min
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.185-200
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    • 2004
  • A stochastic optimal LQR control problem under some integral quadratic (IQ) constraints is studied, with cross terms in both the cost and the constraint functionals, allowing all the control weighting matrices being indefinite. Sufficient conditions for the well-posedness of this problem are given. When these conditions are satisfied, the optimal control is explicitly derived via dual theory.

불확실한 퍼지시스템의 견실한 혼합 H2/H 필터 설계 (Robust Mixed H2/H Filter Design for Uncertain Fuzzy Systems)

  • 류석환;최병재
    • 한국지능시스템학회논문지
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    • 제14권5호
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    • pp.557-562
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    • 2004
  • 이 연구는 T-S 퍼지시스템으로 모델 되는 비선형 시스템의 견실한 혼합 ${H_2}/{H_{\infty}}$ 필터 설계문제를 취급한다. 플랜트에 포함된 다양한 종류의 불확실성을 취급하기 위하여 적분 2차 제약조건을 사용하였다. 필터 설계문제의 해가 존재할 충분조건을 볼록 최적화 기법을 사용하여 효과적으로 풀 수 있는 선형 행렬 부등식의 형태로 제시한다. 제시된 방법을 예시하기 위해서 수치 예를 보여준다.

A Fault Detection System Design for Uncertain Fuzzy Systems

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권1호
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    • pp.1-5
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    • 2006
  • This paper deals with a fault detection system design for uncertain nonlinear systems modelled as T-S fuzzy systems with the integral quadratic constraints. In order to generate a residual signal, we used a left coprime factorization of the T-S fuzzy system. From the filtered signal of the residual generator, the fault occurence can be detected effectively. A simulation study with nuclear steam generator level control system shows that the suggested method can be applied to detect the fault in actual applications.

상태-정합 성능 향상을 위한 지능형 디지털 재설계에 관한 새로운 충분조건들 (New Sufficient Conditions to Intelligent Digital Redesign for the Improvement of State-Matching Performance)

  • Kim, Do-Wan;Joo, Young-Hoon;Park, Jin-Bae
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
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    • pp.293-296
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    • 2006
  • This paper presents new sufficient conditions to an intelligent digital redesign (IDR). The purpose of the IDR is to effectively convert an existing continuous-time fuzzy controller to an equivalent sampled-data fuzzy controller in the sense of the state-matching. The state-matching error between the closed-loop trajectories is carefully analyzed using the integral quadratic functional approach. The problem of designing the sampled-data fuzzy controller to minimize the state-matching error as well as to guarantee the stability is formulated and solved as the convex optimization problem with linear matrix inequality (LMI) constraints.

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