• Title/Summary/Keyword: state feedback controller

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Guaranteed Cost Output Feedback Control for Time Delay Systems with Parameter Uncertainties (파라미터 불확실성을 가지는 시간 지연 시스템에 대한 보장비용 출력궤환제어)

  • 박재훈;정상섭;오도창;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.271-271
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    • 2000
  • This paper considers guaranteed cost output feedback controller for the uncertain time-varying delay systems with delays in state and control input. The uncertainty in the system is assumed to be norm-bounded and time-varying. The sufficient condition for the existence of controller and the guaranteed cost output feedback controller design method are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be reformulated as LMI forms in terms of transformed variables. Using the obtained LMI variables, we derive guaranteed cost controller gain and guaranteed cost.

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Corrective Control of Composite Asynchronous Sequential Machines in Parallel Connection (병렬 결합된 비동기 순차 머신을 위한 교정 제어)

  • Yang, Jung-Min
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.8
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    • pp.139-147
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    • 2014
  • We address the problem of corrective control for two asynchronous sequential machines in parallel connection. Each asynchronous machine receives the same external input and shows independent state transition characteristics. We propose a novel control scheme in which only one corrective controller is employed so as to make the closed-loop system of each machine match the behavior of the corresponding reference model. Compared with the former method utilizing two corrective controllers, our scheme can reduce the controller size and computational load in controller design. We present the existence condition and design procedure for a state-feedback corrective controller under the assumption that the controlled machines are of input/state type. The design procedure for the proposed controller is described in an illustrative example.

$H_{\infty}$ Fuzzy State-Feedback Control Design for Uncertain Nonlinear Descriptor Systems;An LMI Approach

  • Assawinchaichote, W.;Nguang, S.K.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1037-1041
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    • 2004
  • This paper examines the problem of designing an $H_{\infty}$ fuzzy state-feedback controller for a class of uncertain nonlinear descriptor systems which is described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop an $H_{\infty}$ state-feedback controller which guarantees the $L_2$-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of systems. A numerical example is provided to illustrate the design developed in this paper.

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A Global Regulation Method of Nonlinear Systems with Unbounded Parameters Under State Feedback Frame (비억제 파라미터를 갖는 비선형 시스템의 전역 안정화)

  • Koo, Min-Sung;Choi, Ho-Lim
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.3
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    • pp.171-176
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    • 2016
  • In this paper, we consider a regulation problem of nonlinear systems under two triangular conditions where there possibly exist unbounded parameters in the systems. We propose a state feedback controller with dynamic gains in order to deal with unbounded parameters based on the condition of the time-varying rate of the growing parameter. The analysis of our control scheme is carried out by Lyapunov stability method. Our control method is verified by simulation results.

Modeling and fast output sampling feedback control of a smart Timoshenko cantilever beam

  • Manjunath, T. C.;Bandyopadhyay, B.
    • Smart Structures and Systems
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    • v.1 no.3
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    • pp.283-308
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    • 2005
  • This paper features about the modeling and design of a fast output sampling feedback controller for a smart Timoshenko beam system for a SISO case by considering the first 3 vibratory modes. The beam structure is modeled in state space form using FEM technique and the Timoshenko beam theory by dividing the beam into 4 finite elements and placing the piezoelectric sensor/actuator at one location as a collocated pair, i.e., as surface mounted sensor/actuator, say, at FE position 2. State space models are developed for various aspect ratios by considering the shear effects and the axial displacements. The effects of changing the aspect ratio on the master structure is observed and the performance of the designed FOS controller on the beam system is evaluated for vibration control.

Adaptive Fuzzy Output Feedback Control based on Observer for Nonlinear Heating, Ventilating and Air Conditioning System

  • Baek, Jae-Ho;Hwang, Eun-Ju;Kim, Eun-Tai;Park, Mi-gnon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.2
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    • pp.76-82
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    • 2009
  • A Heating, Ventilating and Air Conditioning (HVAC) system is a nonlinear multi-input multi-output (MIMO) system. This system is very difficult to control the temperature and the humidity ratio of a thermal space because of complex nonlinear characteristics. This paper proposes an adaptive fuzzy output feedback control based on observer for the nonlinear HVAC system. The nonlinear HVAC system is linearized through dynamic extension. State observers are designed for estimating state variables of the HVAC system. Fuzzy systems are employed to approximate uncertain nonlinear functions of the HVAC system with unavailable state variables. The obtained controller compares with an adaptive feedback controller. Simulation is given to demonstrate the effectiveness of our proposed adaptive fuzzy method.

[ $H_2$ ]-optimal Control with Regional Pole Assignment via State Feedback

  • Wang Guo-Sheng;Liang Bing;Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.4 no.5
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    • pp.653-659
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    • 2006
  • The design of $H_2$-optimal control with regional pole assignment via state feedback in linear time-invariant systems is investigated. The aim is to find a state feedback controller such that the closed-loop system has the desired eigenvalues lying in some desired stable regions and attenuates the disturbance between the output vector and the disturbance vector. Based on a proposed result of parametric eigenstructure assignment via state feedback in linear systems, the considered $H_2$-optimal control problem is changed into a minimization problem with certain constraints, and a simple and effective algorithm is proposed for this considered problem. A numerical example and its simulation results show the simplicity and effectiveness of this proposed algorithm.

Policy Iteration Algorithm Based Fault Tolerant Tracking Control: An Implementation on Reconfigurable Manipulators

  • Li, Yuanchun;Xia, Hongbing;Zhao, Bo
    • Journal of Electrical Engineering and Technology
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    • v.13 no.4
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    • pp.1740-1751
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    • 2018
  • This paper proposes a novel fault tolerant tracking control (FTTC) scheme for a class of nonlinear systems with actuator failures based on the policy iteration (PI) algorithm and the adaptive fault observer. The estimated actuator failure from an adaptive fault observer is utilized to construct an improved performance index function that reflects the failure, regulation and control simultaneously. With the help of the proper performance index function, the FTTC problem can be transformed into an optimal control problem. The fault tolerant tracking controller is composed of the desired controller and the approximated optimal feedback one. The desired controller is developed to maintain the desired tracking performance at the steady-state, and the approximated optimal feedback controller is designed to stabilize the tracking error dynamics in an optimal manner. By establishing a critic neural network, the PI algorithm is utilized to solve the Hamilton-Jacobi-Bellman equation, and then the approximated optimal feedback controller can be derived. Based on Lyapunov technique, the uniform ultimate boundedness of the closed-loop system is proven. The proposed FTTC scheme is applied to reconfigurable manipulators with two degree of freedoms in order to test the effectiveness via numerical simulation.

Adaptive Neural Control for Pure-feedback Nonlinear Systems (순궤환 비선형 시스템의 적응 신경망 제어기)

  • Park Jang-Hyun;Kim Do-Hee;Kim Seong-Hwan;Moon Chae-Joo;Choi Jun-Ho
    • Proceedings of the KIPE Conference
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    • 2006.06a
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    • pp.523-525
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    • 2006
  • Adaptive neural state-feedback controllers for the fully nonaffine pure-feedback nonlinear system are presented in this paper. By reformulating the original pure-feedback system to a standard normal form with respect to newly defined state variables, the proposed controllers require no backstepping design procedures. Avoiding backstepping makes the controller structure and stability analysis considerably to be simplified. The proposed controllers employ only one neural network to approximate unknown ideal controllers, which highlights the simplicity of the proposed neural controller.

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Output Feedback Stabilization of Non-Minimum phase Nonlinear Systems (비최소위상 비선형 시스템의 출력궤환 안정화)

  • 조남훈
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.12
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    • pp.977-983
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    • 2003
  • An output feedback stabilizing controller far non-minimum phase nonlinear systems is presented. We first perform the standard input-output linearization of the system and then transform the zero dynamics into a special normal form in which the antistable part is not affected by the stable part and the antistable part is given in approximately linear form. Under the assumption that the nonlinear system satisfies the observability rank condition, we can design an observer f3r the extended system that is made of the augmentation of a chain of integrators. The proposed output feedback stabilizing controller can then be designed by combining the observer and the state feedback controller.