• Title/Summary/Keyword: nonlinear systems control

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On-line Learnign control of Nonlinear Systems Usig Local Affine Mapping-based Networks

  • Chio, Jin-Young;Kim, Dong-Sung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.5 no.3
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    • pp.3-10
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    • 1995
  • This paper proposedan on-line learning controller which can be applied to nonlinear systems. The proposed on-line learning controller is based on the universal approximation by the local affine mapping-based neural networks. It has self-organizing and learning capability to adapt itself to the new environment arising from the variation of operating point of the nonlinear system. Since the learning controller retains the knowledge of trained dynamics, it can promptly adapt itself to situations similar to the previously experienced one. This prompt adaptability of the proposed control system is illustrated through simulations.

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Stability Region Evaluation of Control Inputs by Fuzzy-Ttype Lyapunov Function for Nonlinear Control System

  • Kuwata, Akihiko;Kawamoto, Shunji;Kanetaka, Iwao;Takino, Katsuhiko;Ishigamr, Atsushi;Taniguchi, Tsunco;Tanaka, Hiroyuki
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.416-421
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    • 1994
  • Electric Power system is a large scale nonlinear control one. Therefore, nonlinear control is desirable for the stabilizing, and it is thought that to establish an analytical method for optimal control inputs of AVR(automatic voltage regulator) and GOV(governor) is an important subject. In this paper, as a simple case, one-machine infinite-bus electric power model system with GOV is treated under the three kinds of control inputs; (i) fuzzy control input, (ii) linear control input and (iii) no control input. Next, the stability for each case is analyzed, and the three-dimensional stability regions and control responses are evaluated and compared. Finally, it is concluded that the linear control input does not necessarily give a good region and response, and the fuzzy one is better than others.

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Inverse optimal control of nonlinear systems with structural uncertainty (구조적 불확실성을 갖는 비선형 시스템의 역최적제어)

  • Lee, Sang-Hun;Kim, Jin-Soo;Lee, Jong-Yong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.10
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    • pp.2651-2659
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    • 2009
  • In this paper, inverse optimal control for nonlinear systems with structural uncertainty is considered. The first, the bounded of structural uncertainty is introduced and based on the control Lyapunov function, a theorem for the globally asymptotic stability is presented. From this a less conservative condition for the inverse optimal control is derived. The result is used to design an inverse optimal controller for a class of nonlinear systems, that improves and extends the existing results. The class of nonlinear system considered is also enlarger. The simulation results show the effectiveness of the method.

Nonlinear $H_{\infty}$ control to semi-active suspension

  • Sampei, Mitsuji;Kubota, Kenta;Hosokawa, Atsukuni;Laosuwan, Patpong
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.287-290
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    • 1995
  • Recently H$_{\infty}$ control theory for nonlinear systems based on the Hamilton-Jacobi inequality has been developed. In this paper, we apply the state feedback controller solved via Riccati equation to a semi-active suspension model, two degree of freedom vehicle model, and show that it is effective for vibration control..

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Observers for nonautonomous discrete-time nonlinear systems

  • Nam, Kwanghee;Lee, Wonchang
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1828-1832
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    • 1991
  • We study the observer design problem for nonautonomous discrete-time nonlinear systems. We investigate the structure of nonautonomous discrete-time systems which are state equivalent to the nonlinear observer form and characterize their class. Necessary and sufficient conditions for the existence of an input independent (local) diffeomorphism axe derived which transforms multi-input, multi-output nonlinear systems into the nonlinear observer form.

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Active Fault-Tolerant Control for a Class of Nonlinear Systems with Sensor Faults

  • Wang, Youqing;Zhou, Donghua;Qin, S.Joe;Wang, Hong
    • International Journal of Control, Automation, and Systems
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    • v.6 no.3
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    • pp.339-350
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    • 2008
  • A general active fault-tolerant control framework is proposed for nonlinear systems with sensor faults. According to their identifiability, all sensor faults are divided into two classes: identifiable faults and non-identifiable faults. In the healthy case, the control objective is such that all outputs converge to their given set-points. A fault detection and isolation module is firstly built, which can produce an alarm when there is a fault in the system and also tell us which sensor has a fault. If the fault is identifiable, the control objective remains the same as in the healthy case; while if the fault is non-identifiable, the control objective degenerates to be such that only the healthy outputs converge to the set-points. A numerical example is given to illustrate the effectiveness and feasibility of the proposed method and encouraging results have been obtained.

Adaptive Intelligent Control of Nonlinear dynamic system Using Immune Fuzzy Fusion

  • Kim, Dong-Hwa;Park, Jin-Ill
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.146-156
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    • 2003
  • Nonlinear dynamic system exist widely in many types of systems such as chemical processes, biomedical processes, and the main steam temperature control system of the thermal power plant. Up to the present time, PID Controllers have been used to operate these systems. However, it is very difficult to achieve an optimal PID gain with no experience, because of the interaction between loops and gain of the PID controller has to be manually tuned by trial and error. This paper suggests control approaches by immune fuzzy for the nonlinear control system inverted pendulum, through computer simulation. This paper defines relationship state variables $x,\dot{x},{\theta},\dot{\theta}$ using immune fuzzy and applied its results to stability.

Application of the nonlinear transformation and linear state state feedback control to nonlinear hydraulic servo system (비선형 유압 서보시스템의 비선형 변환 및 이에 대한 선형제어에 관한 연구)

  • 김영준;장효환
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.272-275
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    • 1989
  • In this paper feedback linearization of valve-controlled nonlinear hydraulic velocity control system is studied. The $C^{\infty}$ nonlinear transformation T is obtained, and it is shown that this transformation is global one. Linear equivalence of nonlinear hydraulic velocity control system is obtained by this global nonlinear transformation, and linear state feedback control law is applied to this linear model. It is shown that this transformation method is to the linear approximation by simulation study..

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Control of nonlinear systems with mismatched uncertainties using an output feedback (출력피드백에 의한 비매칭 불확실성이 있는 비선형계의 제어)

  • Park, Chang-Yong;Sung, Yul-Wan;Kwon, Oh-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1188-1194
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    • 1997
  • In this paper, we design output feedback nonlinear dynamic control law by using state feedback nonlinear dynamic compensator and PI observer and show that the controller can stabilize globally and asymptotically a class of nonlinear systems with mismatched uncertainties. We also show that it is possible for a nonlinear system to use the output of PI observer in place of state variables in case that the nonlinear dynamic control law is used, similarly as in the linear system. The effectiveness of the proposed control law is demonstrated by a numerical simulation.

Control of Nonlinear Systems with Mismatched Uncertainties Using an Output Feedback (출력피드백에 의한 비매칭 불확실성이 있는 비선형계의 제어)

  • Park, Chang Yong;Seong, Yeol Wan;Gwon, O Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1184-1184
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    • 1997
  • In this paper, we design output feedback nonlinear dynamic control law by using state feedback nonlinear dynamic compensator and PI observer and show that the controller can stabilized globally and asymptotically a class of nonlinear systems with mismatched uncertainties. We also show that it is possible for a nonlinear system to use the output of PI observer in place of state variables in case that the nonlinear dynamic control law is used, similarly as in the linear system. The effectiveness of the proposed control law is demonstrated by a numerical simulation.