• Title/Summary/Keyword: Uncertain Nonlinear Systems

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Stabilized Control of Inverted Pendulum System by ANFIS

  • Lee, Joon-Tark;Lee, Oh-Keol;Shim, Young-Zin;Chung, Hyeng-Hwan
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.691-695
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    • 1998
  • Most of systems has nonlinearity . And also accurate modelings of these uncertain nonlinear systems are very difficult. In this paper, a fuzzy modeling technique for the stabilization control of an IP(inverted pendulum) system with nonlinearity was proposed. The fuzzy modeling was acquired on the basis of ANFIS(Adaptive Neuro Fuzzy Infernce System) which could learn using a series of input-output data pairs. Simulation results showed its superiority to the PID controller. We believe that its applicability can be extended to the other nonlinear systems.

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Robust High Gain Adaptive Output Feedback Tracking Control for Nonlinear Systems

  • Kohara, Koshiro;Mizumoto, Ikuro;Iwai, Zenta;Michino, Ryuji;Kumon, Makoto
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.444-444
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    • 2000
  • For a class of nonlinear systems which satisfy a certain condition so called output feedback exponential passivity (OFEP), it is well known that one can easily design a high-gain output feedback control system. The designed high-gain controller has simple structure and high robustness. 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 deal with a design problem of the robust high-gain adaptive output feedback control for the above-mentioned class of nonlinear systems with uncertain nonlinearities and/or disturbances.

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Inversion-Based Robust Output Tracking of Differentially Flat Nonlinear Systems

  • Joo, Jin-Man;Park, in-Bae;Park, Yoon-Ho
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.1
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    • pp.21-26
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    • 2001
  • In this study, we propose a two degree of freedom robust output tracking control method for a class of nonlinear system. We consider hyperbolically nonminimum phase single-input single-output uncertain nonlinear systems. We also consider the case that the nominal input-state equation is differentially flat. Nominal stable state trajectory is obtained in the flat output space via the flat output. Nominal feedforward control input is also computed from the nominal state trajectory. Due to the nature of the method, the generated flat output trajectory and control input are noncausal. Robust feedback control is designed to stabilize the systems around the nominal trajectory. A numerical example is given is given to demonstrate that robust tracking is achieved.

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Online Learning Control for Network-induced Time Delay Systems using Reset Control and Probabilistic Prediction Method (네트워크 기반 시간지연 시스템을 위한 리세트 제어 및 확률론적 예측기법을 이용한 온라인 학습제어시스템)

  • Cho, Hyun-Cheol;Sim, Kwang-Yeul;Lee, Kwon-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.9
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    • pp.929-938
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    • 2009
  • This paper presents a novel control methodology for communication network based nonlinear systems with time delay nature. We construct a nominal nonlinear control law for representing a linear model and a reset control system which is aimed for corrective control strategy to compensate system error due to uncertain time delay through wireless communication network. Next, online neural control approach is proposed for overcoming nonstationary statistical nature in the network topology. Additionally, DBN (Dynamic Bayesian Network) technique is accomplished for modeling of its dynamics in terms of casuality, which is then utilized for estimating prediction of system output. We evaluate superiority and reliability of the proposed control approach through numerical simulation example in which a nonlinear inverted pendulum model is employed as a networked control system.

A State Observer for MINO Nonlinear Systems (다입력 다출력 비선형 시스템의 상태 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.45 no.5
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    • pp.8-12
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    • 2008
  • In this paper, the robust state observer for nonlinear systems with unknown disturbance is proposed. The proposed method has an advantage in that it can reduce the effect of disturbance on estimation error of observer up to a specified level. Therefore, our design a roach can deal with a larger class of uncertain nonlinear system than the existing methods. The sufficient conditions on the existence of robust observer are characterized by well grown linear matrix inequality. Finally, an illustrative example is given to verify the proposed design scheme.

Robust Stabilization of Differentially Flat Uncertain Nonlinear Systems (미분적으로 평활한 불확정 비선형 시스템의 강인 안정화)

  • Joo, Jin-Man;Park, Jin-Bae;Choi, Yoon-Ho;Yoon, Tae-Sung
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.647-649
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    • 1998
  • This paper describes a robust stabilization of single input nonlinear systems with parametric uncertainty. We first investigate differential flatness of the nominal nonlinear systems. If a single input system is differentially flat, it possesses a flat output. And we define coordinate transformation functions via successively differentiating the flat output, and we also consider the robust fictitious controls at every differentiation of the flat output. In the new coordinates the nonlinear system is transformed into the Brunovsky normal form with matched uncertainty. With a robust control based on the Lyapunov method, the robust stabilization is achieved.

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A Fault Detection System Design for Uncertain Fuzzy Systems

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.1
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    • pp.1-5
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    • 2006
  • This paper deals with a fault detection system design for uncertain nonlinear systems modelled as T-S fuzzy systems with the integral quadratic constraints. In order to generate a residual signal, we used a left coprime factorization of the T-S fuzzy system. From the filtered signal of the residual generator, the fault occurence can be detected effectively. A simulation study with nuclear steam generator level control system shows that the suggested method can be applied to detect the fault in actual applications.

Identification and Robust $H_\infty$ Control of the Rotational/Translational Actuator System

  • Tavakoli Mahdi;Taghirad Hamid D.;Abrishamchian Mehdi
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.387-396
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    • 2005
  • The Rotational/Translational Actuator (RTAC) benchmark problem considers a fourth-order dynamical system involving the nonlinear interaction of a translational oscillator and an eccentric rotational proof mass. This problem has been posed to investigate the utility of a rotational actuator for stabilizing translational motion. In order to experimentally implement any of the model-based controllers proposed in the literature, the values of model parameters are required which are generally difficult to determine rigorously. In this paper, an approach to the least-squares estimation of the parameters of a system is formulated and practically applied to the RTAC system. On the other hand, this paper shows how to model a nonlinear system as a linear uncertain system via nonparametric system identification, in order to provide the information required for linear robust $H_\infty$ control design. This method is also applied to the RTAC system, which demonstrates severe nonlinearities, due to the coupling from the rotational motion to the translational motion. Experimental results confirm that this approach can effectively condense the whole nonlinearities, uncertainties, and disturbances within the system into a favorable perturbation block.

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

  • Lee, Kap-Lai;Kim, Jong-Hae;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.6
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    • pp.15-24
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    • 2000
  • This paper presents an output feedback robust H$\infty$ control problem for a class of uncertain nonlinear systems, which can be represented by an fuzzy dynamic model. The nonlinear system is represented by Takagi-Sugeno fuzzy model, and the control design is carried out on the basis of the fuzzy model. 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 robust H$\infty$ controllers are given in terms of linear matrix inequalities(LMIs). Constructive algorithm for design of robust H$\infty$ controller is also developed. The resulting controller is nonlinear and automatically tuned based on fuzzy operation.

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An Identification of the Hydraulic Motion Simulator Using Modified Signal Compression Method and Its Application

  • Park, Min-Kyu;Lee, Min-Cheol;Go, Seok-Jo
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.133-136
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    • 1999
  • Many researches on the identification of a system have been carried out using a least square method, an adaptive filter, and so on. However, it is difficult to apply these methods in a nonlinear system. In the case of a nonlinear system, it is known that the signal compression method is able to estimate uncertain parameters of linear element in a nonlinear system because it is able to separate linear element and nonlinear element in a nonlinear system. However, the signal compression method cannot be applied to a motion simulator because actuators of the simulator is single-rod cylinders which includes expansion and compression dynamic properties. Therefore, this paper proposes a modified signal compression method which is able to estimate uncertain parameters of the motion simulator dynamics. The dynamic properties of this system are identified by separating expansion and compression properties when applying the signal compression method. And then, the identified parameters are applied to design a sliding mode controller for the simulator. The performance of the designed sliding mode controller is evaluated experimentally.

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