• Title/Summary/Keyword: nonlinear systems control

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Analysis of nonlinear control systems with various diher signals (비선형제어계에 사용하는 제선형화신호의 해석)

  • 이상혁
    • 전기의세계
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    • v.13 no.2
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    • pp.5-10
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    • 1964
  • Some nonlinearities in feedback control systems, such as relay servo, Coulomb friction, saturating amplifier of backlash in gears cause some undesirable effects. These may be static errors, limit cycles or jump phenomena. So, linearizing method of these nonlinearities using dither signals was first suggested by Loeb. He pointed out that the addition of high frequency signal to either the input or the output of a nonlinear system would make the nonlinear performance approximate the performance of linear systems. He used high-frequency sinusoidal wave as dither signal. But, in this thesis, general method of analysis is suggested for nonlinear control systmes using various dither signals, such as noise signal of Gaussian amplitude distribution, sinusoidal dither signal and sawtooth dither signal. Also, the advantage and disadvantage of these dither signals are compared. Throughout the analysis statistical method is adopted and lastly analog computer is used for the experiment of various nonlinear systems using dither signals.

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최신 비선형 pH제어 방법의 실험적 비교

  • 천일근;유성덕;이지태
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.327-330
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    • 1989
  • Two recent nonlinear control methods of nonlinear geometric method and nonlinear optimal control method are applied to a pH control system with severe nonlinear characteristics. Simulations and experiments show that their performances are very good and robust for various realistic situations such as model parameter mismatches.

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A Nonlinear Transformation Approach to Adaptive Output Feedback Control of Uncertain Nonlinear Systems

  • Ahn, Choon-Ki;Kim, Beom-Soo;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.48.1-48
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    • 2001
  • In this paper, we present a global adaptive output feedback control scheme for a class of uncertain nonlinear systems to which adaptive observer backstepping method may not be applicable directly. The allowed output feedback structure includes quadratic and multiplicative dependency of unmeasured states. Our novel design technique employs a change of coordinates and adaptive backstepping. With these proposed tools, we can remove linear and quadratic dependence on the unmeasured states in the state equation. Also, the multiplication of the two unmeasured states can be eliminated ...

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Robust Fuzzy Control of a Class of Nonlinear Descriptor Systems with Time-Varying Delay

  • Yan Wang;Sun, Zeng-Qi;Sun, Fu-Chun
    • International Journal of Control, Automation, and Systems
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    • v.2 no.1
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    • pp.76-82
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    • 2004
  • A robust fuzzy controller is designed to stabilize a class of solvable nonlinear descriptor systems with time-varying delay. First, a new modeling and control method for nonlinear descriptor systems is presented with a fuzzy descriptor model. A sufficient condition for the existence of the fuzzy controller is given in terms of a series of LMIs. Then, a less conservative fuzzy controller design approach is obtained based on the fuzzy rules and weights. This method includes the interactions of the different subsystems into one matrix. The effectiveness of the presented approach and the design procedure of the fuzzy controller are illustrated by way of an example.

Adaptive Fuzzy Controller for the Nonlinear System with Unknown Sign of the Input Gain

  • Park Jang-Hyun;Kim Seong-Hwan;Moon Chae-Joo
    • International Journal of Control, Automation, and Systems
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    • v.4 no.2
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    • pp.178-186
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    • 2006
  • We propose and analyze a robust adaptive fuzzy controller for nonlinear systems without a priori knowledge of the sign of the input gain function. No assumptions are made about the type of nonlinearities of the system, except that such nonlinearities are smooth. The uncertain nonlinearities are captured by the fuzzy systems that have been proven to be universal approximators. The proposed control scheme completely overcomes the singularity problem that occurs in the indirect adaptive feedback linearizing control. Projection in the estimated parameters and switching in the control input are both not required. The stability of the closed-loop system is guaranteed in the Lyapunov viewpoint.

Robust Backstepping Design of Nonlinear Systems Using Adaptation Strategy for Uncertaninties (불확실성 적응기법을 이용한 비선형 시스템의 강인 백스테핑 설계)

  • Kim, Dong-Heon;Kim, Eung-Seok;Yang, Hae-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.7
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    • pp.605-613
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    • 2001
  • In this paper, we design a robust adaptive controller for a nonlinear system with uncertainties to be rejected via disturbance adaptation law. The nonlinear system considered has unknown nonlinear functions being influenced by external disturbance. The upper bound of unknown nonlinear functions at each time is estimated by using a disturbance adaptation law. The estimated nonlinear functions are used to design a stabilizing function a control input. Tuning function is used to estimates unknown system parameter without overparametrization. A set-point regulation error converges to a residual set close to zero asymptotically. The effectiveness of the proposed controller is investigated by computer simulation.

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Controller of nonlinear servo system

  • Yamane, Yuzo;Zhang, Xiajun
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.342-345
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    • 1996
  • This paper is dealing with a design of linear controller so that the plant output is regulated to follow a reference model output when the plant equation is described by a class of nonlinear time-varying control systems.

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

  • Shim, Kyu-Hong;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.34.4-34
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    • 2001
  • 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 so called output feedback exponential passivity (OFEP). The designed high gain adaptive controller has simple structure and high robustness with regard to bounded disterbances 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 deal with a design problem of the robust high-gain adaptive output feedback control for the OFEP nonlinear systems with uncertain nonlinearities and/or disturbances.

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Optimal Control of Nonlinear Systems Using The New Integral Operational Matrix of Block Pulse Functions (새로운 블럭펄스 적분연산행렬을 이용한 비선형계 최적제어)

  • Cho Young-ho;Shim Jae-sun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.4
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    • pp.198-204
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    • 2003
  • In this paper, we presented a new algebraic iterative algorithm for the optimal control of the nonlinear systems. The algorithm is based on two steps. The first step transforms nonlinear optimal control problem into a sequence of linear optimal control problem using the quasilinearization method. In the second step, TPBCP(two point boundary condition problem) is solved by algebraic equations instead of differential equations using the new integral operational matrix of BPF(block pulse functions). The proposed algorithm is simple and efficient in computation for the optimal control of nonlinear systems and is less error value than that by the conventional matrix. In computer simulation, the algorithm was verified through the optimal control design of synchronous machine connected to an infinite bus.