• Title/Summary/Keyword: Nonlinear systems

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Iterative Learning Control for Discrete Time Nonlinear Systems Based on an Objective Function (목적함수를 고려한 이산 비선형 시스템의 반복 학습 제어)

  • Jeong, Gu-Min;Park, Chong-Ho;Jang, Tae-Jeong
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.1
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    • pp.1147-1154
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    • 2001
  • In this paper, a new iterative learning control scheme for discrete time nonlinear systems is proposed based on an objective function consisting of the output error and input energy. The relationships between the proposed ILC and the optimal control are described. A new input update law is proposed and its convergence is proved under certain conditions. In this proposed update law, the inputs in the whole control horizon are updated at once considered as one large vector. Some illustrative examples are given to show the effectiveness of the proposed method.

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Discrete-Time Output Feedback Control of Nonlinear Systems with Unknown Time-Delay : Fuzzy Logic Approach (미지의 시간지연을 갖는 비선형 시스템의 이산시간 퍼지 출력 궤환 제어)

  • 신현석;김은태;박민용
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.5
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    • pp.374-378
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    • 2003
  • A new discrete-time fuzzy output feedback control method for nonlinear systems with unknown time-delay is proposed. Ma et al. proposed an analysis and design method of fuzzy controller and observer and Cao et al. extend this result to be applicable fir the nonlinear systems with known time-delay. For the case of unknown time-delay, we derive the sufficient condition f3r the asymptotic stability of the equilibrium Point by applying Lyapunov-Krasovskii theorem and convert this condition into the LMI problem.

Implementation of an Intelligent Controller with a DSP and an FPGA for Nonlinear Systems

  • Kim, Sung-Su;Jung, Seul
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.575-580
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    • 2003
  • In this paper, we develop a control hardware such as an FPGA based general purpose controller with a DSP board to solve nonlinear control problems. PID control algorithms are implemented in an FPGA and neural network control algorithms are implemented in a DSP board. PID controllers implemented on an FPGA was designed by using VHDL to achieve high performance and flexibility. By using high capacity of an FPGA, the additional hardware such as an encoder counter and a PWM generator, can be implemented in a single FPGA device. As a result, the noise and power dissipation problems can be minimized and the cost effectiveness can be achieved. In order to show the performance of the developed controller, it was tested for controlling nonlinear systems such as an inverted pendulum.

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Terminal Sliding Mode Control of Nonlinear Systems Using Self-Recurrent Wavelet Neural Network (자기 회귀 웨이블릿 신경망을 이용한 비선형 시스템의 터미널 슬라이딩 모드 제어)

  • Lee, Sin-Ho;Choi, Yoon-Ho;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.11
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    • pp.1033-1039
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    • 2007
  • In this paper, we design a terminal sliding mode controller based on self-recurrent wavelet neural network (SRWNN) for the second-order nonlinear systems with model uncertainties. The terminal sliding mode control (TSMC) method can drive the tracking errors to zero within finite time in comparison with the classical sliding mode control (CSMC) method. In addition, the TSMC method has advantages such as the improved performance, robustness, reliability and precision. We employ the SRWNN to approximate model uncertainties. The weights of SRWNN are trained by adaptation laws induced from Lyapunov stability theorem. Finally, we carry out simulations for Duffing system and the wing rock phenomena to illustrate the effectiveness of the proposed control scheme.

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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A study on tracking control for nonlinear systems using T-S fuzzy model (T-S fuzzy 모델을 이용한 비선형 시스템의 tracking 제어에 관한 연구)

  • Shon, Myung-Gong;Seong, Dong-Han;Son, Cheon-Don;Jeung, Eun-Tae;Kwon, Sung-Ha
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.108-110
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    • 2006
  • This paper deals with a tracking problem for nonlinear systems using its T-S fuzzy model and internal model. We extend the internal model of linear systems to an internal model of T-S fuzzy systems to accompany with state error of zero. A sufficient condition of the existence of a tracking controller for T-S fuzzy systems is expressed by linear matrix inequalities. A system of inverted pendulum on cart is illustrated to verify our method.

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Decentralized Control for Multimachine Power Systems, with Nonlinear Interconnections and Disturbances

  • Jung Kyu-Il;Kim Kwang-Youn;Yoon Tae-Woong;Jang Gilsoo
    • International Journal of Control, Automation, and Systems
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    • v.3 no.spc2
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    • pp.270-277
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    • 2005
  • In this paper, a decentralized control problem is considered for multimachine power systems with nonlinear interconnections and disturbances. A direct feedback linearization compensator is employed to cancel most of the nonlinearities, and then a backstepping procedure is applied to deal with the interconnections and to reduce the effects of a disturbance that does not satisfy the matching condition. In this procedure, the disturbance is handled by using a smooth approximation of the signum function. Practical stability is achieved under the assumption that the infinite norm of the disturbance is known. However, even in the case where the infinite norm of the disturbance is not known precisely, the proposed control system still guarantees $L_2$ stability. Furthermore, the origin is globally uniformly asymptotically stable in the absence of the disturbance. A three-machine power system is considered as an application example.

Fault Diagnosis of Nonlinear Systems Based on Dynamic Threshold Using Neural Network (신경회로망을 이용한 동적 문턱값에 의한 비선형 시스템의 고장진단)

  • Soh, Byung-Seok;Lee, In-Soo;Jeon, Gi-Joon
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.11
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    • pp.968-973
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    • 2000
  • Fault diagnosis plays an important role in the performance and safe operation of many modern engineering plants. This paper investigates the problem of fault detection using neural networks in dynamic systems. A general framework for constructing a nonlinear fault detection scheme for nonlinear dynamic systems containing modeling uncertaintly is proposed. The main idea behind the proposed approach is to monitor the physical system with an off -line learning neural network and then to approximate the upper and lower thresholds of acceleration of the nominal system with the model-based threshold(ThMB) method, The performance of the proposed fault detection scheme is investigated through simulations of a pendulum with uncertainty.

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Robust State Observer for Lipschitz Nonlinear Systems with Time Delay (시간 지연을 갖는 Lipschitz 비선형 시스템의 강인 상태 관측기)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.11
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    • pp.1089-1093
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    • 2008
  • This paper presents a robust state observer design for a class of Lipschitz nonlinear systems with time delay and external disturbance. Sufficient conditions on the existence of the proposed observer are characterized by linear matrix inequalities. It is also shown that the proposed observer design can reduce the effect on the estimation error of external disturbance up to the prescribed level in spite of the existence of time delay. Finally, a numerical example is provided to verify the proposed design method.

Iterative learning control of nonlinear systems with consideration on input magnitude (입력의 크기를 고려한 비선형 시스템의 반복학습 제어)

  • Choi, Chong-Ho;Jang, Tae-Jeong
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.165-173
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    • 1996
  • It is not desirable to have too large control input in control systems, because there are usually a limitation for the input magnitude and cost for the input energy. Previous papers in the iterative learning control did not considered on these points. In this paper, an iterative learning control method is proposed for a class of nonlinear systems with consideration on input magnitude by adopting a concept of cost function consisting of the output error and the input magnitude in quadratic form. We proposed a new input update law with an input penalty function. If we choose a reasonable input penalty function, the two control objectives, good command following and small input energy, can be achieved. The characteristics of the proposed method are shown in the simulation examples.

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