• 제목/요약/키워드: Takagi­Sugeno fuzzy systems

검색결과 259건 처리시간 0.033초

LMI를 이용한 불확실한 퍼지 시스템의 슬라이딩 모드 관측기 설계 (Sliding Mode Observer for Uncertain Fuzzy System: An LMI Approach)

  • 송민국;주영훈;박진배
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2006년도 춘계학술대회 학술발표 논문집 제16권 제1호
    • /
    • pp.159-163
    • /
    • 2006
  • 본 논문에서는 비선형 시스템의 슬라이딩 모드 관측기 설계에 대해서 논의한다. 제어 대상인 비선형 시스템을 모델링 하는데 있어서 Takagi-Sugeno(T-S) 퍼지 모델 기법을 이용하였고, 이 때 발생할 수 있는 모델 불확실성과 외란에 대해 그것의 최대 최소 범위를 안다고 가정하였다. 제안된 시스템의 LMI (Linear Matrix Inequality)를 기반으로 한 슬라이딩 모드 관측기 설계 방법에서는 관측기와 시스템의 차이를 슬라이딩 표면으로 설정한다. 안정한 슬라이딩 표면을 갖는 슬라이딩 관측기의 존재 가능성을 선형 행렬 부등식의 형태로 표현한다. 슬라이딩 모드 관측기 이득은 LMI 존재 조건의 해를 이용하여 구한다.

  • PDF

An LMI-based Stable Fuzzy Control System Design with Pole Placement Constraints

  • Kyung, Hong-Sung;Joh Joongseon
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
    • /
    • pp.156-165
    • /
    • 1998
  • This paper proposes a systematic design methodology for the Takagi-Sugeno(TS) model based fuzzy control system with guaranteed stability and additional constraints on the closed-loop pole location. These combined two objectives are formulated as a system of LMIs(Linear Matrix Inequalities). Since LMIs intrinsically reflect constraints, they tend to offer more flexibility for combining various constraints on the closed-loop system. To demonstrate the usefulness of the proposed design methodology it is applied to the requlation problem of a nonlinear magnetic bearing system. Simulation results show that the proposed LMI-based design methodology yields not only maximized stability boundary but also the desired transient responses.

  • PDF

Cooperative Spectrum Sensing using Kalman Filter based Adaptive Fuzzy System for Cognitive Radio Networks

  • Thuc, Kieu-Xuan;Koo, In-Soo
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제6권1호
    • /
    • pp.287-304
    • /
    • 2012
  • Spectrum sensing is an important functionality for cognitive users to look for spectrum holes before taking transmission in dynamic spectrum access model. Unlike previous works that assume perfect knowledge of the SNR of the signal received from the primary user, in this paper we consider a realistic case where the SNR of the primary user's signal is unknown to both fusion center and cognitive radio terminals. A Kalman filter based adaptive Takagi and Sugeno's fuzzy system is designed to make the global spectrum sensing decision based on the observed energies from cognitive users. With the capacity of adapting system parameters, the fusion center can make a global sensing decision reliably without any requirement of channel state information, prior knowledge and prior probabilities of the primary user's signal. Numerical results prove that the sensing performance of the proposed scheme outperforms the performance of the equal gain combination based scheme, and matches the performance of the optimal soft combination scheme.

DC-DC 컨버터에 대한 강인한 PI 제어기 설계 (Design of Robust PI Controller for DC-DC Converter)

  • 이현석;고창민;박성훈;박승규;안호균
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2009년도 제40회 하계학술대회
    • /
    • pp.997_998
    • /
    • 2009
  • Nowadays DC-DC converter has been used widely in electronic production. It has a high requirement in wide input voltage, load variations, stability, providing a fast transient response and the most important thing is that it can be applied easily and efficiently. However, it is not easy to be controlled because of nonlinear system. This study introduces a fuzzy linear control design method for nonlinear systems with optimal $H^{\infty}$ robustness performance. First, the Takagi and Sugeno fuzzy linear model is employed to approximate a nonlinear system. Next, based on the fuzzy linear model, a fuzzy controller is developed to stabilize the nonlinear system, and at the same time the effect of external disturbance on control performance is attenuated to a minimum level. Thus based on the fuzzy linear model, ��$H^{\infty}$ performance design can be achieved in nonlinear control systems. Linear matrix inequality (LMI) techniques are employed to solve this robust fuzzy control problem. PI control structure is used and the control gains are determined based on $H^{\infty}$ control.

  • PDF

Linearization of T-S Fuzzy Systems and Robust Optimal Control

  • Kim, Min-Chan;Wang, Fa-Guang;Park, Seung-Kyu;Kwak, Gun-Pyong;Yoon, Tae-Sung;Ahn, Ho-Kyun
    • Journal of information and communication convergence engineering
    • /
    • 제8권6호
    • /
    • pp.702-708
    • /
    • 2010
  • This paper proposes a novel linearization method for Takagi.sugeno (TS) fuzzy model. A T-S fuzzy controller consists of linear controllers based on local linear models and the local linear controllers cannot be designed independently because of overall stability conditions which are usually conservative. To use linear control theories easily for T-S fuzzy system, the linearization of T-S fuzzy model is required. However, The linearization of T-S fuzzy model is difficult to be achieved by using existing linearization methods because fuzzy rules and membership functions are included in T-S fuzzy models. So, a new linearization method is proposed for the T-S fuzzy system based on the idea of T-S fuzzy state transformation. For the T-S fuzzy system linearized with uncertainties, a robust optimal controller with the robustness of sliding model control(SMC) is designed.

불확실성이 포함된 비선형 시스템에 대한 전역적 접근의 지능형 디지털 재설계 (Intelligent Digital Redesign of Uncertain Nonlinear Systems : Global approach)

  • 성화창;주영훈;박진배;김도완
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
    • /
    • pp.95-98
    • /
    • 2005
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated linear operators to be matched. Also by using the power series, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete -time system have proper reason. Sufficiently conditions for the global state -matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMls). Finally, we prove the effectiveness and stabilization of the proposed intelligent digital redesign method by applying the chaotic Lorentz system.

  • PDF

T-S형 퍼지제어기의 후건부 멤버십함수 동조방법 (The Tuning Method on Consequence Membership Function of T-S Type FLC)

  • 최한수;이경웅
    • 제어로봇시스템학회논문지
    • /
    • 제17권3호
    • /
    • pp.264-268
    • /
    • 2011
  • This paper presents a Takagi-Sugeno (T-S) type Fuzzy Logic Controller (FLC) with only 3 rules. The choice of parameters of FLC is very difficult job on design FLC. Therefore, the choice of appropriate linguistic variable is an important part of the design of fuzzy controller. However, since fuzzy controller is nonlinear, it is difficult to analyze mathematically the affection of the linguistic variable. So this choice is depend on the expert's experience and trial and error method. In this paper, we propose the method to choose the consequence linear equation's parameter of T-S type FLC. The parameters of consequence linear equations of FLC are tuned according to the system error that is the input of FLC. The full equation of T-S type FLC is presented and using this equation, the relation between output and parameters can represented. The parameters are tuned with gradient algorithm. The parameters are changed depending on output. The simulation results demonstrate the usefulness of this T-S type 3 rule fuzzy controller.

Structural system simulation and control via NN based fuzzy model

  • Tsai, Pei-Wei;Hayat, T.;Ahmad, B.;Chen, Cheng-Wu
    • Structural Engineering and Mechanics
    • /
    • 제56권3호
    • /
    • pp.385-407
    • /
    • 2015
  • This paper deals with the problem of the global stabilization for a class of tension leg platform (TLP) nonlinear control systems. It is well known that, in general, the global asymptotic stability of the TLP subsystems does not imply the global asymptotic stability of the composite closed-loop system. Finding system parameters for stabilizing the control system is also an issue need to be concerned. In this paper, we give additional sufficient conditions for the global stabilization of a TLP nonlinear system. In particular, we consider a class of NN based Takagi-Sugeno (TS) fuzzy TLP systems. Using the so-called parallel distributed compensation (PDC) controller, we prove that this class of systems can be globally asymptotically stable. The proper design of system parameters are found by a swarm intelligence algorithm called Evolved Bat Algorithm (EBA). An illustrative example is given to show the applicability of the main result.

시간지연을 가지는 비선형 상호연결시스템의 견실비약성 $H_{\infty}$ 분산 퍼지모델 제어기법 (Robust and Non-fragile $H_{\infty}$ Decentralized Fuzzy Model Control Method for Nonlinear Interconnected System with Time Delay)

  • 김준기;양승협;권영신;방경호;박홍배
    • 전자공학회논문지SC
    • /
    • 제47권6호
    • /
    • pp.64-72
    • /
    • 2010
  • 본 논문에서는 폴리토프 불확실성과 시간지연, 그리고 제어기 섭동을 가지는 비선형 상호연결시스템의 상태궤환 제어기에 대한 견실비약성 $H_{\infty}$ 분산 퍼지제어기 설계 방법을 다룬다. 먼저 시간지연을 가지는 비선형 상호연결시스템을 Takagi-Sugeno 퍼지모델로 나타내고, 이로부터 지연종속 견실비약성 $H_{\infty}$ 퍼지제어기가 존재하기 위한 충분조건, 제어기 설계방법 및 비약성을 만족하는 제어기의 꽉찬집합(compact set)을 제시한다. 이 때 제시한 조건은 변수치환과 슈어여수(Schur complement)정리를 통해 선형행렬부등식(LMI: Linear Matrix Inequality)의 계수가 꽉찬 집합 내의 파라미터의 함수로 정의되는 파라미터화 선형행렬부등식(PLMIs: Parameterized Linear Matrix Inequalities)으로 표현되며, 이를 완화기법(relaxation technique)를 사용하여 유한개의 선형행렬부등식으로 변환하고, 제어기와 비약성을 만족하는 제어기 영역을 구한다. 마지막으로 예제와 모의실험을 통해 불확실성과 시간지연, 제어기이득 섭동에도 불구하고 제안한 퍼지제어기가 폐루프시스템을 안정화시키고 외란감쇠를 보장함을 확인한다.

비선형 상호 결합 시스템의 퍼지 출력 궤한 제어기 설계 : 선형 행렬 부등식 접근 (Fuzzy Output Feedback Controller for Nonlinear Interconnected Systems : An LMI Approach)

  • 구근범;주영훈;박진배
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2007년도 춘계학술대회 학술발표 논문집 제17권 제1호
    • /
    • pp.48-51
    • /
    • 2007
  • 본 논문에서는 비선형 상호 결합 시스템의 출력 궤환 제어기 설계에 대해서 연구한다. 먼저 퍼지 모델 기법을 이용하여 비선형 상호 연결된 시스템을 Takagi-Sugeno (T-S) 퍼지 모델로 모델링한다. 그 각각의 하위 시스템에 대한 출력 궤한 제어기를 동적 병렬 분산 보상 (DPDC) 기법을 이용하여 퍼지 출력 궤환 제어기로 설계한다. 하위 시스템들의 평형점이 안정화 되는 선형 행렬 부등식 (LMI)를 구하고, 그 부등식을 만족하는 값들로부터 하위 시스템의 제어기 이득을 구한다.

  • PDF