• 제목/요약/키워드: discrete-time nonlinear system

검색결과 147건 처리시간 0.031초

신경회로망을 이용한 선형/비선형 시스템의 식별과 적응 트래킹 제어 (Linear/nonlinear system identification and adaptive tracking control using neural networks)

  • 조규상;임제택
    • 전자공학회논문지B
    • /
    • 제33B권5호
    • /
    • pp.1-9
    • /
    • 1996
  • In this paper, a parameter identification method for a discrete-time linear system using multi-layer neural network is proposed. The parameters are identified with the combination of weights and the output of neuraons of a neural network, which can be used for a linear and a nonlinear controller. An adaptive output tracking architecture is designed for the linear controller. And, the nonlinear controller. A sliding mode control law is applied to the stabilizing the nonlinear controller such that output errors can be reduced. The effectiveness of the proposed control scheme is illustrated through simulations.

  • PDF

퍼지 신경 회로망을 이용한 혼돈 비선형 시스템의 예측 제어기 설계 (Design of Predictive Controller for Chaotic Nonlinear Systems using Fuzzy Neural Networks)

  • 최종태;박진배;최윤호
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2000년도 추계학술대회 논문집 학회본부 D
    • /
    • pp.621-623
    • /
    • 2000
  • In this paper, the effective design method of the predictive controller using fuzzy neural networks(FNNs) is presented for the Intelligent control of chaotic nonlinear systems. In our design method of controller, predictor parameters are tuned by the error value between the actual output of a chaotic nonlinear system and that of a fuzzy neural network model. And the parameters of predictive controller using fuzzy neural network are tuned by the gradient descent method which uses control error value between the actual output of a chaotic nonlinear system and the reference signal. In order to evaluate the performance of our controller, it is applied to the Duffing system which are the representative continuous-time chaotic nonlinear systems and the Henon system which are representative discrete-time chaotic nonlinear systems.

  • PDF

The problem of stability and uniform sampling in the application of neural network to discrete-time dynamic systems

  • Eom, Tae-Dok;Kim, Sung-Woo;Park, kang-bark;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
    • /
    • pp.119-122
    • /
    • 1995
  • Neural network has found wide applications in the system identification, modeling, and realization based on its function approximation capability. THe system governe dby nonlinear dynamics is hard to be identified by the neural network because there exist following difficulties. FIrst, the training samples obtained by the stae trajectory are apt to be nonuniform over the region of interest. Second, the system may becomje unstable while attempting to obtain the samples. This paper deals with these problems in discrete-time system and suggest effective solutions which provide stability and uniform sampliing by the virtue of robust control theory and heuristic algorithms.

  • PDF

Design of a controller for input time-delay nonlinear system

  • Choi, Hyung-Jo;Choi, Yong-Ho;Chong, Kil-To
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2005년도 ICCAS
    • /
    • pp.548-552
    • /
    • 2005
  • In most physical processes, the transfer function includes a time-delay, and in the general distributed control system using a computer network, an inherent time-delay exists due to the spatial separation between controllers and actuators. Under the circumstance where an input time-delay exits, the system response overshoots and tends to diverge. For this reasons described above, a controller design method is proposed for a discrete nonlinear system including input time-delay, which adopts the time-discretization using Taylor series. Controllers are synthesized using an input/output linearization method. Finally, several cases of the computer simulations were conducted, and the results validate the proposed methods.

  • PDF

비선형 이산 시간 시스템 $x_{k+1}=G_{u_k}{o}F{(x_k)}$ 의 선형화에 관하여 (On the Linearization of the Discrete-time Nonlinear Systems, $x_{k+1}=G_{u_k}{o}F{(x_k)}$)

  • 남광희
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(I)
    • /
    • pp.125-128
    • /
    • 1987
  • We investigate the feedback linearizability of nonlinear discrete-time system s of a specific form, $x_k=G_{u_k}oF(x_k)$ where F is a diffeomorphism and [$G_{u_k}$] forms an one parameter group of diffeomorphisms. This structure represents a class of systems which are state equivalent to linear ones and approximates the sampled data model of a continuous-time system. It is also considered a relationship between linearizability and discretization.

  • PDF

시간지연을 갖는 이산 비선형 마코비안 점프 시스템의 H 퍼지 제어 (H Fuzzy Control for Discrete-Time Nonlinear Markovian Jump Systems with Time Delay)

  • 이갑래;이경희
    • 한국지능시스템학회논문지
    • /
    • 제19권6호
    • /
    • pp.779-786
    • /
    • 2009
  • 본 논문에서는 시간지연을 가지는 이산 비선형 마코비안 점프 시스템의 $H_{\infty}$ 퍼지 제어 문제를 다룬다. Takgi-Sugeno 퍼지 모델을 이용하여 마코비안 점프 파라미터를 갖는 시간 지연 비선형 시스템을 마코비안 점프 퍼지 시스템으로 나타내고, 이에 대한 제어기를 설계한다. 확률 퍼지-리아프노프(Lyapunov) 함수를 이용하여 안정성 및 $H_{\infty}$ 성능을 해석하고 이 함수를 이용하여 폐루프 시스템이 안정하며 $H_{\infty}$ 성능 조건을 만족하는 조건식을 유도한다. 확률 퍼지-리아프노프 함수는 시스템 모드에 따라 변하는 함수이다. 유도된 조건식으로부터 제어기 존재 조건을 선형행렬부등식으로 나타내며, 제어기는 선형행렬부등식으로부터 바로 구할 수 있다. 수치적 예제 및 컴퓨터 시뮬레이션을 통하여 제안된 방법의 타당성을 보인다.

A continuous-time modified gain extended Kalman filter

  • Song, Taek-Lyul
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1986년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 17-18 Oct. 1986
    • /
    • pp.269-274
    • /
    • 1986
  • A continuous-time modified gain extended Kalman filter (MGEKF) is developed in an effort to extend the discrete-time results of 1) and 2). Used as an observer, it is globally exponentially convergent. For stochastic system, the stability of the MGEKF is proven under certain conditions. The performance of the MGEKF is compared with that of the EKF for a particular nonlinear system where the fininate dimensional optimal filter exists.

  • PDF

섭동을 가지는 이산 시간지연 시스템의 강인 안정성 (Robust stability for discrete time-delay systems with perturbations)

  • 박주현;원상철
    • 제어로봇시스템학회논문지
    • /
    • 제2권3호
    • /
    • pp.158-164
    • /
    • 1996
  • In this paper, we consider the problem of robust stability of discretd time-delay systems subjected to perturbations. Two classes of perturbations are treated. The first one is the nonlinear norm-bounded perturbation, and the second is the structured time-varying parametric perturbation. Based on the discrete-time Lyapunov stability theory, several new sufficient conditions for robust stability of the system are presented. From these conditions, we can estimate the maximum allowable bounds of the perturbations which guarantee the stability. Finally, numerical examples are given to demonstrate the effectiveness of the results.

  • PDF

시변 지연 이산 시간 비선형 시스템에 대한 정적 출력 궤환 $H\infty$ 퍼지 강인 제어기 설계 (Static Output Feedback Robust $H\infty$ Fuzzy Control of Discrete-Time Nonlinear Systems with Time-Varying Delay)

  • 김택룡;박진배;주영훈
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
    • /
    • pp.149-152
    • /
    • 2005
  • In this paper, a robust $H\infty$ stabilization problem to a uncertain discrete-time fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi -Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. 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.

  • PDF

Time-Discretization of Nonlinear Systems with Time Delayed Output via Taylor Series

  • Yuanliang Zhang;Chong Kil-To
    • Journal of Mechanical Science and Technology
    • /
    • 제20권7호
    • /
    • pp.950-960
    • /
    • 2006
  • An output time delay always exists in practical systems. Analysis of the delay phenomenon in a continuous-time domain is sophisticated. It is appropriate to obtain its corresponding discrete-time model for implementation via a digital computer. A new method for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption is proposed in this paper. This method is applied to the sampled-data representation of a nonlinear system with a constant output time-delay. In particular, the effect of the time-discretization method on key properties of nonlinear control systems, such as equilibrium properties and asymptotic stability, is examined. In addition, 'hybrid' discretization schemes resulting from a combination of the 'scaling and squaring' technique with the Taylor method are also proposed, especially under conditions of very low sampling rates. A performance of the proposed method is evaluated using two nonlinear systems with time-delay output.