• 제목/요약/키워드: linear matrix inequality method

검색결과 282건 처리시간 0.021초

헬리콥터 시스템의 퍼지 분산 제어기 설계 (A Decentralized Fuzzy Controller for Experimental Nonlinear Helicopter Systems)

  • 김문환;이호재;박진배;차대범;주영훈
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
    • /
    • pp.141-144
    • /
    • 2001
  • This paper proposes a decentralized control technique for 2-dimensional experimental helicopter systems. The decentralized control technique is especially suitable in large-scale control systems. We derive the stabilization condition for the interconnected Takagi-Sugeno (75) fuzzy system using the rigorous tool - Lyapunov stability criterion and formulate the controller design condition in terms of linear matrix inequality (LMI). To demonstrate the feasibility of the proposed method, we include the experiment result as well as a computer simulation one, which strongly convinces us the applicability to the industry.

  • PDF

A Line-integral Fuzzy Lyapunov Functional Approach to Sampled-data Tracking Control of Takagi-Sugeno Fuzzy Systems

  • Kim, Han Sol;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
    • /
    • 제13권6호
    • /
    • pp.2521-2529
    • /
    • 2018
  • This paper deals with a sampled-data tracking control problem for the Takagi-Sugeno fuzzy system with external disturbances. We derive a stability condition guaranteeing both asymptotic stability and H-infinity tracking performance by employing a newly proposed time-dependent line-integral fuzzy Lyapunov-Krasovskii functional. A new integral inequality is also introduced, by which the proposed stability condition is formulated in terms of linear matrix inequalities. Finally, the effectiveness of the proposed method is demonstrated through a simulation example.

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

  • 류석환;최병재
    • 한국지능시스템학회논문지
    • /
    • 제14권5호
    • /
    • pp.557-562
    • /
    • 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.

An Algorithm for Robust Noninteracting Control of Ship Propulsion System

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
    • /
    • 제14권4호
    • /
    • pp.393-400
    • /
    • 2000
  • In this paper, a new algorithm for noninteracting control system design is proposed and applied to ship propulsion system control. For example, if a ship diesel engine is operated by consolidated control with controllable pitch propeller (CPP), the minimum fuel consumption is achieved satisfying the demanded ship speed. For this, it is necessary that the ship is operated on the ideal operating line which satisfies the minimum fuel consumption, and the both pitch angle of CPP and throttle valve angle are controlled simultaneously. In this context of view, this paper gives a controller design method for a ship propulsion system with CPP based on noninteracting control theory. Where, linear matrix inequality (LMI) approach is introduced for the control system design to satisfy the given $H_{\infty}$, constraint in the presence of physical parameter perturbation and disturbance input. To the end, the validity and applicability of this approach are illustrated by the simulation in the all operating ranges.

  • PDF

극 배치영역을 고려한 자기 부상계의 로버스트 서보제어기 설계 (The Robust Servo Controller Design of Magnetic Levitation System Considering Pole Assignment Region)

  • 김창화;정해종;양주호
    • 동력기계공학회지
    • /
    • 제4권4호
    • /
    • pp.84-91
    • /
    • 2000
  • This paper describes a state feedback controller design method of the integral type magnetic levitation servo system which satisfies the design objectives. The design objective is a $H_{\infty}$ performance, asymptotic disturbance rejection and a robust pole assignment in linear matrix inequality(LMI) region. To the end, we investigated the validity of the designed controller which considering a robust pole assignment region, through results of simulation.

  • PDF

최적화 기법에 의한 비선형 시스템에서의 강인한 적응 관측기 설계 (Robust Adaptive Observer Design for a Class of Nonlinear Systems via an Optimization Method)

  • 정종철;허건수
    • 대한기계학회논문집A
    • /
    • 제30권10호
    • /
    • pp.1249-1254
    • /
    • 2006
  • Existing adaptive observers may cause the parameter drifts due to disturbances even if state estimation errors remain small. To avoid the drift phenomena in the presence of bounded disturbances, several robust adaptive observers have been introduced addressing bounds in state and parameter estimates. However, it is not easy for these observers to manipulate the size of the bounds with the selection of the observer gain. In order to reduce estimation errors, this paper introduces the (equation omitted) gain minimization problem in the adaptive observer structure, which minimizes the (equation omitted) gain between disturbances and estimation errors. The stability condition of the adaptive observer is reformulated as a linear matrix inequality, and the observer gain is optimally chosen by solving the convex optimization problem. The estimation performance is demonstrated through a numerical example.

Takagi-Sugeno 퍼지시스템에 대한 최적 제어기 설계 및 우주 비행체의 자세 제어 응용 (Design of the Optimal Controller for Takagi-Sugeno Fuzzy Systems and Its Application to Spacecraft control)

  • 박연묵;탁민제
    • 제어로봇시스템학회논문지
    • /
    • 제7권7호
    • /
    • pp.589-596
    • /
    • 2001
  • In this paper, a new design methodology for the optimal control of nonlinear systems described by the TS(Takagi-Sugeno) fuzzy model is proposed. First, a new theorem concerning the optimal stabilizing control of a general nonlinear dynamic system is proposed. Next, based on the proposed theorem and the inverse optimal approach, an optimal controller synthesis procedure for a TS fuzzy system is given, Also, it is shown that the optimal controller can be found by solving a linear matrix inequality problem. Finally, the proposed method is applied to the attitude control of a rigid spacecraft to demonstrate its validity.

  • PDF

일반화된 특이치를 사용한 강인한 극배치 조건 (Robust pole placement condition using generalized singular value)

  • 이준화;권욱현
    • 제어로봇시스템학회논문지
    • /
    • 제1권1호
    • /
    • pp.13-19
    • /
    • 1995
  • In this paper, generalized singular value is defined. Using the generalized singular value, robust stability conditions and robust pole placement conditions of structured uncertain systems with star shaped uncertainties are derived. Especially, norm bounded and polytopic uncertainty regions are considered as star shaped uncertainty regions. Linear matrix inequality problems are proposed in order to compute the upper bound of the generalized singular value. The proposed linear matrix inequality problems can be solved by using the convex optimization method.

  • PDF

시변 시간지연을 가지는 입력제한 시스템의 모델예측제어 (Model Predictive Control for Input Constrained Systems with Time-varying Delay)

  • 이상문
    • 전기학회논문지
    • /
    • 제61권7호
    • /
    • pp.1019-1023
    • /
    • 2012
  • This paper considers a model predictive control problem of discrete-time constrained systems with time-varying delay. For this problem, a delay dependent state feedback control approach is used to achieve asymptotic stabilization of systems with input constraints. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find cost monotonicity condition of the model predictive control algorithm which guarantee the closed loop stability. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

Aerodynamic numerical analysis with linear matrix inequality theorem of intelligent control

  • C.C. Hung;T. Nguyen
    • Advances in aircraft and spacecraft science
    • /
    • 제10권2호
    • /
    • pp.159-177
    • /
    • 2023
  • In this paper we proposed the aerodynamic numerical analysis with linear matrix inequality theorem of intelligent control, which is believed to be applicable in the application not only a function of the block size and reduced wind speed but itself depends on both the size and the aspect ratio of the structure, not on the total scruton number. In order to improve the accuracy of the results, the optimization curve was optimized for the test to evaluate the response in the time of achieving the results and we focus on the results that found a significant influence from the assumptions used for damage propagation for aircraft structural analysis of composite materials. Finally, the numerical simulations confirmed the effectiveness of the method.