• 제목/요약/키워드: nonlinear robust control

검색결과 700건 처리시간 0.03초

Stable Input-Constrained Neural-Net Controller for Uncertain Nonlinear Systems

  • Jang-Hyun Park;Gwi-Tae Park
    • KIEE International Transaction on Systems and Control
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    • 제2D권2호
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    • pp.108-114
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    • 2002
  • This paper describes the design of a robust adaptive controller for a nonlinear dynamical system with unknown nonlinearities. These unknown nonlinearities are approximated by multilayered neural networks (MNNs) whose parameters are adjusted on-line, according to some adaptive laws far controlling the output of the nonlinear system, to track a given trajectory. The main contribution of this paper is a method for considering input constraint with a rigorous stability proof. The Lyapunov synthesis approach is used to develop a state-feedback adaptive control algorithm based on the adaptive MNN model. An overall control system guarantees that the tracking error converges at about zero and that all signals involved are uniformly bounded even in the presence of input saturation. Theoretical results are illustrated through a simulation example.

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슬라이딩 모드를 이용한 견실 최적 제어기 설계 (Design of Robust, Optimal Controller using Sliding Mode)

  • 변지영;유관호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 B
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    • pp.580-583
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    • 2003
  • The general time optimal control law provides the optimal solution for a minimum time control problem. But in most real systems with disturbances and model uncertainties, the time optimal control law leads to chattering effect. This chattering effect can cause the system to be unstable. Therefore, we propose a robust optimal control algorithm for the nonlinear second order systems with model uncertainty. The proposed algorithm is combined with bang-bang control and sliding mode control. Thus the proposed algorithm has two state space regions to implement to control algorithm. In each region, the appropriate linear or nonlinear feedback control law is used satisfying the dynamic system equations. Simulation results show the superiority of the proposed controller in comparison with pure time optimal control(bang-bang control).

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Robust H${\infty}$Fuzzy Control of Nonlinear Systems with Time-Varying Delay via Static Output Feedback

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1486-1491
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    • 2005
  • In this paper, a robust H${\infty}$ stabilization problem to a uncertain fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent uncertain nonlinear systems with time-varying delayed state, which is a continuous-time or discrete-time system. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust H${\infty}$controllers are given in terms of linear matrix inequalities.

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출력 미분값의 추정에 의한 선형 시불변 시스템의 로버스트 출력 궤환 제어 (Robust output feedback control of LTI system using estimated output derivatives)

  • Lee, Gun-Bok
    • 대한전기학회논문지
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    • 제45권2호
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    • pp.273-282
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    • 1996
  • This work is conceded with the estimation of output derivatives and their use for the design of robust controller for linear systems with system uncertainties due to modeling errors and disturbances. It is assumed that a nominal transfer function model and quantitative bounds for system uncertainties and known. The developed control schemes are shown to achieve regulation of the system output and ensures boundedness of the system states without imposing any structural conditions on system uncertainties and disturbances. Output derivative estimation is first conducted through restructuring of the plant in a specific parameterization. They are utilized for constructing robust nonlinear high-gain feedback controller of a SMC(Sliding Mode Control)type. The performances of the developed controller are evaluated and shown to be effective and useful through simulation study.

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웨이블릿 네트워크를 이용한 압전 구동기의 견실제어 (Robust Control of Piezo Actuator using Wavelet Networks)

  • 양창관;임준홍
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.723-725
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    • 2004
  • An iterative robust control design for PZT using Gaussian wavelet networks is proposed. A Gaussian wavelet network with accurate approximation capability is employed to approximate the nonlinear hysteresis dynamics of PZT systems by using an iterative control algorithm. Depending on the finite number of wavelet basis functions which results in unavoidable approximation errors, a robust control law is provided to guarantee the stability of the closed-loop nano positioning system. Finally, the effectiveness of the robust control approach is illustrated through comparative simulations on a PZT.

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내연기관의 강인한 토크제어를 위한 제어계 설계법 (Design of Robust Torque Controller for an Internal Combustion Engine with Uncertainty)

  • 김영복;정정순;이권순;강희영
    • 제어로봇시스템학회논문지
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    • 제16권11호
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    • pp.1029-1037
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    • 2010
  • If an internal combustion engine is operated by consolidated control, the minimum fuel consumption is achieved and the demanded objectives are satisfied. For this, it is necessary that the engine is operated on the ideal operating line which satisfies minimum fuel consumption. In this context of view, there are many tries to achieve given object. However, the parameters in the internal combustion engines are variable and depend on the operating points. Therefore, it is necessary to cope with the uncertainties such that the optimal operating may be possible. From this point of view, this paper gives a controller design method and a robust stability condition for engine torque control which satisfies the given control performance and robust stability in the presence of physical parameter perturbation. Exactly, in this paper, we consider the robust stability problem of this 2DOF servosystem with nonlinear type uncertainty in the engine system, and a robust stability condition for the servosystem is shown. This result guarantees that if the plant uncertainty is in the permissible set defined by the given condition, then a gain tuning can be carried out to suppress the influence of the plant uncertainties.

부정합조건 불확실성과 외란을 갖는 시스템을 위한 비선형 적분 슬라이딩 면을 갖는 새로운 강인한 적분 가변구조제어기 (A New Robust Variable Structure Controller with Nonlinear Integral-Type Sliding Surface for Uncertain Systems with Mismatched Uncertainties and Disturbance)

  • 이정훈
    • 전기학회논문지
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    • 제59권3호
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    • pp.623-629
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    • 2010
  • In this paper, a new robust variable structure controller based on a nonlinear integral type sliding surface is presented for the control of uncertain systems with mismatched uncertainties and disturbance. A nonlinear integral type sliding surface is suggested for removing the reaching phase. After its ideal sliding dynamics is obtained, the two design methods are presented. A corresponding control input is proposed to satisfy the closed loop stability in the sense of Lyapunov and the existence condition of the sliding mode on the nonlinear integral type sliding surface, which will be investigated in Theorem 1. Through a design example and simulation study, the usefulness of the proposed controller is verified.

불확실성을 갖는 퍼지 시스템의 출력궤환 견실 $H^infty$ 제어 (Output Feedback Robust $H^infty$ Control for Uncertain Fuzzy Dynamic Systems)

  • Lee, Kap-Lai;Kim, Jong-Hae;Park, Hong-Bae
    • 전자공학회논문지SC
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    • 제37권6호
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    • pp.15-24
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    • 2000
  • 본 논문에서는 불확실성을 갖는 비선형 시스템의 출력 궤환 퍼지 H∞ 제어 문제를 고려한다. 비선형 시스템은 Takagi-Sugeno(T-S) 퍼지모델로 나타내고 제어기 설계는 퍼지모델을 이용하여 설계한다. Lyapunov 함수를 이용하여 퍼지모델에 대한 폐-루프 시스템의 안정성뿐만 아니라 외란감쇠에 대한 L₂ 이득 성능을 보장하는 충분조건을 유도한다. 유도된 조건식 으로부터 퍼지 H∞ 제어기가 존재할 충분조건을 선형 행렬부등식으로 나타내고, 이 선형 행렬부등식의 해로부터 제어기를 설계하는 알고리듬을 제시한다. 설계된 제어기는 비선형이며 퍼지 동작에 의해 자동적으로 조정된다.

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불일치 시스템의 견실제어기 설계 (Robust control for mismatched uncertain system)

  • 김동환
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.117-119
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    • 1997
  • We consider the control design for nonlinear uncertain systems. The uncertainty is mismatched and possibly fast time-varying. Within the suitable range of the uncertainty the control is valid. No statistical information on uncertainty is imposed. Only the possible bound of the uncertain parameter is known and the control design is based on Lyapunov approach.

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Robust Adaptive Controller for MIMO Nonsquare Nonlinear Systems Using Universal Function Approximators

  • Park, Jang-Hyun;Seo, Ho-Joon;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.40.4-40
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    • 2001
  • This paper addresses the problem of designing robust adaptive output tracking control for a class of MIMO nonlinear systems which have different number of inputs and outputs The stability of the whole closed-loop system is guaranteed in the sense of Lyapunov and uniformly Itimately boundedness of the tracking error vector as well as estimated parameters are shown. In addition, we show that the restrictive assumptions on input gain matrix which is presumed in the past works can be eliminated by using proposed control law.

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