• Title/Summary/Keyword: nonlinear systems control

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Adaptive Observer Design for Multi-Output Unobservable Nonlinear Systems (다중출력 관측불가능 비선형 시스템의 적응관측기 설계기법)

  • Jo Nam-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.4
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    • pp.271-278
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    • 2005
  • In this paper, we present an adaptive observer for multi-output nonlinear systems that include unknown constant parameters and are not necessarily observable. Based on generalized nonlinear observer canonical form, new adaptive observer canonical form is proposed. Sufficient conditions are given for a nonlinear system to be transformed into the proposed adaptive observer canonical form. The existence of the proposed adaptive observer is given in terms of Lyapunov-like condition and SPR condition. An illustrative example is presented to show the design procedure of the proposed method.

Output Feedback Semi-Global Stabilization for Input-Affine Nonlinear Systems

  • Hyungbo Shim;Seo, Jin-Heon
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.2
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    • pp.104-109
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    • 2000
  • In this paper, the output feedback stabilizing problem is solved using any given state feedback control law. Compared to the linear systems is not so straightforward for nonlinear systems. We briefly explain the intrinsic obstructions for this problem and provide new output feedback scheme which achieves the semi-global stabilization with the high-gain state observer. THe overall uniform observability of the plant. Therefore, the result can be regarded as an extension of the separation principle for linear systems in some aspect.

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

  • Byun, Ji-Young;You, Kwan-Ho
    • Proceedings of the KIEE Conference
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    • 2003.11c
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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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Output Feedback Stabilization of Non-Minimum Phase Nonlinear Systems

  • Jo, Nam-H.;Son, Young-I.;Shim, Hyung-Bo
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.60.1-60
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    • 2002
  • . an output feedback stabilizing controller for non-minimum phase nonlinear systems . Assumption 1 : the Jacobi linearization of the given nonlinear linear system is controllable . Assumption 2: an appropriate transformation which transforms the zero dynamics into a special form . Assumption 3: the system satisfies the observability rank condition . Augmentation of systems by augmented by a chain of integrators

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A Study on Properties of Torque Control for Wind Turbine (풍력터빈 토크제어의 특성 고찰)

  • Lim, Chae-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.12
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    • pp.1157-1162
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    • 2009
  • The aerodynamic torque and power caused by the interaction between the wind and blade of wind turbine are highly nonlinear. For this reason, the overall dynamic behaviors of wind turbine have nonlinear characteristics. The aerodynamic nonlinearity also affects properties of torque control for wind turbine. In this paper, the nonlinear aerodynamic property according to the wind speed below rated power and its effects on the torque control system are investigated. Nonlinear parameter representing change of aerodynamic torque with respect to rotor speed is obtained by linearization technique. Effects of this aerodynamic nonlinear parameter on the closed-loop torque system with PI controller for an 1.5 MW wind turbine are presented.

Intelligent Digital Redesign of a Fuzzy-Model-Based Controllers for Nonlinear Systems with Uncertainties (불확실성을 갖는 비선형 시스템을 위한 퍼지 모델 기반 제어기의 지능형 디지털 재설계)

  • Jang Kwon-Kyu;Kwon Oh-Shin;Joo Young-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.3
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    • pp.227-232
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    • 2006
  • In this paper, we propose a systematic method for intelligent digital redesign of a fuzzy-model-based controller for continuous-time nonlinear system which may also contain system uncertainties. The continuous-time uncertain TS fuzzy model is first contructed to represent the uncertain nonlinear system. A parallel distributed compensation(PDC) technique is then used to design a fuzzy-model-based controller for both stabilization. The designed continuous-time controller is then converted to an equivalent discrete-time controller by using a globally intelligent digital redesign method. This new technique is designed by a global matching of state variables between analog control system and digital control system. This new design technique provides a systematic and effective framework for integration of the fuzzy-model-based control theory and the advanced digital redesign technique for nonlinear systems with uncertainties. Finally, Chaotic Lorenz system is used as an illustrative example to show the effectiveness and the feasibility of the developed design method.

Control Education Using Pendulum Apparatus

  • Hoshino, Tasuku;Yamakita, Masaki;Furuta, Katsuhisa
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.3
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    • pp.157-162
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    • 2000
  • The inverted pendulum is a typical example of unstable systems and has been used for verification of designed control systems. It is also very popular in control education in laboratories, serving as a good example to show the utility of the state space approach to the controller design. This paper shows two kinds of experiment using inverted pendulum: one is the stabilization of a single spherical inverted pendulum by a plane manipulator using visual feedback, and the other is the state transfer control of a double pendulum. In the former experiment, the feedback stabilization using a CCD camera has major importance as an example of controller implementation with non-contact measurement. The latter involves the standard stabilizing regulation method and nonlinear control techniques. The details of the experimental systems, the control algorithms and the experimental results will be given.

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Cheap control for a class of nonlinear system

  • Lee, Jie-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10a
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    • pp.812-816
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    • 1987
  • A quadratic regulator problem for a class of nonlinear system, in which a small parameter multiplies the control cost, is considered. In the analysis of the problem, we utilize the method of multiple time-scale decomposition which has been devised for analyzing complex linear cheap control problems. In so doing, we extend the class of nonlinear systems, considerably, for which the minimum cost becomes zero as the small parameter goes to zero.

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Modularized Gain Scheduled Fuzzy Logic Control with Application to Nonlinear Magnetic Bearings

  • Hong, Sung-Kyung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.4
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    • pp.384-388
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    • 1999
  • This paper describes an approach for synthesizing a modularized gain scheduled PD type fuzzy logic controller(FLC) of nonlinear magnetic bearing system where the gains of FLC are on-line adapted according to the operating point. Specifically the systematic procedure via root locus technique is carried out for the selection of the gains of FLC. Simulation results demonstrate that the proposed gain scheduled fuzzy logic controller yields not only maximization of stability boundary but also better control performance than a single operating point (without gain scheduling)fuzzy controller.

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On nonlinear adaptive control systems independent of the degree of the process

  • Miyasato, Yoshihiko
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.740-745
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    • 1988
  • New design methods for constructing nonlinear adaptive control system are considered. The proposed adaptive controllers are applicable to the case where the degree of the controlled process is unknown. It is shown that the degree of the controller is determined independently of the degree of the process. Several types of nonlinear functions are introduced to deal with uncertainties of the degree of the process. Finally, some simulation results show the effectiveness and simplicity of the proposed methods.

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