• Title/Summary/Keyword: Nonlinear systems

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Design of observer for a class of Lipschitz nonlinear systems

  • Choi, H.L.;Lim, J.T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2099-2101
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    • 2005
  • The problem of observer design for a class of Lipschitz nonlinear systems is considered. We propose a new observer design method which takes into account the structure of perturbed nonlinear terms with a scaling factor ${\epsilon}$. An example is provided to demonstrate the usefulness of our result over the existing method.

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Adaptive identification of volterra kernel of nonlinear systems

  • Yeping, Sun;Kashiwagi, Hiroshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.476-479
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    • 1995
  • A real time and adaptive method for obtaining Volterra kernels of a nonlinear system by use of pseudorandom M-sequences and correlation technique is proposed. The Volterra kernels are calculated real time and the obtained Volterra kernels becomes more accurate as time goes on. The simulation results show the effectiveness of this method for identifying time-varying nonlinear system.

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Nonlinear Hydraulic System Control Using Fuzzy PID Control Technique (퍼지 PID 제어 기법을 이용한 비선형 유압시스템의 제어)

  • 박장호;김종화;류기석
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.69-69
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    • 2000
  • Control systems using a hydraulic cylinder as an actuator are modeled to a nonlinear system owing to varying of moments and nonlinearities of hydraulic itself. In this paper, we want to control nonlinear hydraulic systems by adopting the fuzzy PID control technique which include nonlinear time varying control parameters. To do this, we propose the design method of fuzzy Pm controller and in order to assure effectiveness of fuzzy PID controller, computer simulations were executed for the control system.

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A Dynamic Anti-windup Scheme for Input-constrained Feedback Linearizable Nonlinear Systems (궤환선형화 가능한 비선형 시스템의 입력제한을 고려한 동적 와인드엎 방지)

  • 윤성식;박종구;윤태웅
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.534-534
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    • 2000
  • This paper proposes a dynamic compensation scheme for input-constrained feedback linearizable nonlinear systems to cope with the windup phenomenon. Given a feedback linearizing controller for such a nonlinear system designed without considering its input constraint, an additional dynamic compensator is proposed to account for the constraint. This dynamic anti-windup is based on the minimization of a reasonable performance index, and some stability properties of the resulting closed-loop are presented.

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Robust H$\infty$ control of uncertain nonlinear systems (불확실한 비선형 시스템에 대한 H$\infty$ 강인제어)

  • 송성호;하인중
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.3
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    • pp.393-398
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    • 1996
  • In this paper, we consider H.inf. control of nonlinear systems which have not only additive uncertainties but also input-multiplicative uncertainties. Using the relation between the L$_{2}$ gain of a nonlinear system and the Hamilton-Jacobi-Isaacs inequality, we define

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Global Synchronization of Two Different Chaotic Systems via Nonlinear Control

  • Emadzadeh, Amir Abbas;Haeri, Mohammad
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.985-989
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    • 2005
  • This paper presents chaos synchronization between two different chaotic systems using nonlinear control method. The proposed technique is applied to achieve chaos synchronization for the Lorenz and Rossler dynamical systems. Numerical simulations are also implemented to verify the results.

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Robust Reduced Order State Observer for Lipschitz Nonlinear Systems (Lipschitz 비선형 시스템의 강인 저차 상태 관측기)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.8
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    • pp.837-841
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    • 2008
  • This paper presents a robust reduced order state observer for a class of Lipschitz nonlinear systems with external disturbance. Sufficient conditions on the existence of the proposed observer are characterized by linear matrix inequalities. It is also shown that the proposed observer design can reduce the effect on the estimation error of external disturbance up to the prescribed level. Finally, a numerical example is provided to verify the proposed design method.

Robust High Gain Adaptive Output Feedback Control for Nonlinear Systems with Uncertain Nonlinearities in Control Input Term

  • Michino, Ryuji;Mizumoto, Ikuro;Iwai, Zenta;Kumon, Makoto
    • International Journal of Control, Automation, and Systems
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    • v.1 no.1
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    • pp.19-27
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    • 2003
  • It is well known that one can easily design a high-gain adaptive output feedback control for a class of nonlinear systems which satisfy a certain condition called output feedback exponential passivity (OFEP). The designed high-gain adaptive controller has simple structure and high robustness with regard to bounded disturbances and unknown order of the controlled system. However, from the viewpoint of practical application, it is important to consider a robust control scheme for controlled systems for which some of the assumptions of output feedback stabilization are not valid. In this paper, we design a robust high-gain adaptive output feedback control for the OFEP nonlinear systems with uncertain nonlinearities and/or disturbances. The effectiveness of the proposed method is shown by numerical simulations.

Fuzzy H$\infty$ Filtering for Nonlinear Systems with Time-Varying Delayed States

  • Lee, Kap-Rai;Lee, Jang-Sik;Oh, Do-Chang;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.99-105
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    • 1999
  • This paper presents a fuzzy H$\infty$ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown inital state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadraic Lyapunov function, the stability and L2 gain performance from the noise signals to the estimation error are discussed. Sufficient conditions for the existence of fuzzy H$\infty$ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also be directly obtained from the solutions of LMIs.

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Output Feedback Fuzzy H(sup)$\infty$ Control of Nonlinear Systems with Time-Varying Delayed State

  • Lee, Kap-Rai
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.248-254
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    • 2000
  • This paper presents and output feedback fuzzy H(sup)$\infty$ control problem for a class of nonlinear systems with time-varying delayed state. The Takagi-Sugeno fuzzy model is employed to represent a nonlinear systems with time-varying delayed state. Using a single quadratic Lyapunov function, the globally exponential stability and disturance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of fuzzy H(sup)$\infty$ controllers are given in terms of matrix inequalities. Constructive algorithm for design of fuzzy H(sup)$\infty$ controller is also developed. A simulation example is given to illustrate the performance of the proposed design method.

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