• Title/Summary/Keyword: nonlinear robust control

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Robust tracking in multivariable nonlinear systems (다변수 비선형시스템에서의 강인한 추적)

  • 백운보;배종일;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.451-456
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    • 1990
  • We treat the problem of the robust tracking of a class of nonlinear systems which can be asymptotically decoupled in approximate sense by state variable feedback. A nonlinear control law is derived such that the tracking error in the closed loop system is uniformly bounded and tends to a certain small neighborhood of the origin. Simulation results show that simultaneous lateral and longitudinal maneuvers in airplane can be accurately performed in spite of uncertainty in stability derivatives.

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Robust Adaptive Neural Network Controller with Dynamic Structure for Nonaffine Nolinear Systems (불확실한 비선형 계통에 대한 동적인 구조를 가지는 강인한 적응 신경망 제어기 설계)

  • Park, Jang-Hyeon;Park, Gwi-Tae
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.8
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    • pp.647-655
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    • 2001
  • In adaptive neuro-control, neural networks are used to approximate unknown plant nonlinearities. Until now, most of the studies in the field of controller design for nonlinear system using neural network considers the affine system with fixed number of neurons. This paper considers nonaffine nonlinear systems and on-line variation of the number of neurons. A control law and adaptive laws for neural network weights are established so that the whole system is stable in the sense of Lyapunov. In addition, at the expense of th input, tracking error converges to the arbitrary small neighborhood of the origin. The efficiency of the proposed scheme is shown through simulations ofa simple nonaffine nonlinear system.

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DSP-based Robust Nonlinear Speed Control of PM Synchronous Motor

  • Baik, In-Cheol;Kim, Kyeong-Hwa;Youn, Myung-Joong
    • Journal of Electrical Engineering and information Science
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    • v.3 no.1
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    • pp.94-102
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    • 1998
  • A DSP-based robust nonlinear speed control of a permanent magnet synchronous motor(PMSM) is presented. A quasi-linearized and decoupled model including the influence of parameter variations and speed measurement error on the nonlinear speed control of a PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of the nonlinear speed control of a PMSM is designed and compared with the conventional controller. To show the validity of the proposed control scheme, simulations and experimental works are carried out and compared with the conventional control scheme.

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An Extended Robust $H_{\infty}$ Filter for Nonlinear Constrained Uncertain System

  • Seo, Jae-Won;Yu, Myeong-Jong;Park, Chan-Gook;Lee, Jang-Gyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.565-569
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    • 2003
  • In this paper, a robust filter is proposed to effectively estimate the system states in the case where system model uncertainties as well as disturbances are present. The proposed robust filter is constructed based on the linear approximation methods for a general nonlinear uncertain system with an integral quadratic constraint. We also derive the important characteristic of the proposed filter, a modified $H_{\infty}$ performance index. Analysis results show that the proposed filter has robustness against disturbances, such as process and measurement noises, and against parameter uncertainties. Simulation results show that the proposed filter effectively improves the performance.

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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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Robust Controller Design for the Speed Control of Underwater Vehicle Diesel Engine (수중운동체용 디절엔진의 속도제어를 위한 견실제어기 설계)

  • 정찬희;한명철;하인철;양승윤;정희석;김성용
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.68-75
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    • 2000
  • In this paper, the robust controller design is performed for the speed control of the underwater vehicle diesel engine. Nonlinear model equations are acquired through the mathematical modeling using mean torque production model technique. It is very difficult to design the robust controller because those are high nonlinear and not expressed in terms of the matched uncertainty Therefore those are converted into the separable model into the linear nominal system and the nonlinear uncertainty term.

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Robust Observer for Nonlinear Systems with Delayed Output (지연된 출력을 갖는 비선형 시스템의 강인 관측기)

  • Lee, Sungryul
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.253-257
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    • 2013
  • This paper proposes the robust observer design for nonlinear systems with delayed output and external disturbance. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the nonlinear error dynamics with time delay can be transformed into the linear one with time delay. Sufficient conditions for existence of a robust observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

Robust Adaptive Controller Free from Input Singularity for Nonlinear Systems Using Universal Function Approximators

  • Park, Jang-Hyun;Yoong, Pil-Sang;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.95.4-95
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    • 2001
  • In this paper, we proposed and analyze an robust adaptive control scheme for uncertain nonlinear systems using Universal function approximators. The proposed scheme completely overcomes the singularity problem which occurs in the indirect adaptive feedback linearizing control. No projection in the estimated parameters and no switching in the control input are needed. The stability of the closed-loop systems is guaranteed in the Lyapunov standpoint.

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Robust Adaptive Output Feedback Control for Nonlinear Systems with Higher Order Relative Degree

  • Michino, Ryuji;Mizumoto, Ikuro;Tao, Yuichi;Iwai, Zenta;Kumon, Makoto
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.78-83
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    • 2003
  • In this paper, it is dealt with a controller design problem for nonlinear systems with higher order relative degree. A robust adaptive control for uncertain nonlinear systems with stable zero dynamics will be proposed based on the high-gain adaptive output feedback and backstepping strategies. The proposed method is useful in the case where only the output signal is available.

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A New Robust Output Feedback Variable Structure Controller for Uncertain More Affine Nonlinear Systems with Mismatched Uncertainties and Matched Disturbance

  • Lee, Jung-Hoon
    • Journal of IKEEE
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    • v.18 no.2
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    • pp.206-213
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    • 2014
  • In this note, a new robust nonlinear output feedback variable structure controller is first systematically and generally designed for the output control of more affine uncertain nonlinear systems with mismatched uncertainties and matched disturbance. A transformed integral output feedback sliding surface with a most simple form is applied in order to remove the reaching phase problems. The closed loop exponential stability and the existence condition of the sliding mode on the integral output feedback sliding surface is investigated with a corresponding output feedback control input in Theorem 1. For practical application the continuous implementation of the control input is made by the modified saturation function. The effectiveness of the proposed controller is verified through a design example and simulation study.