• Title/Summary/Keyword: state feedback controller

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A Study on the Design of the Optimal Nonlinear Controller for Single State Feedback (단일상태 귀환 제어계의 최적 비선형제어기 설계에 관한 연구)

  • No, Yong-Gyun;Jo, Gyeom-Rae;Lee, Jin-Geol
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.1
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    • pp.85-92
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    • 1989
  • For feedback control of a linear dynamic system the optimum linear state regulator (OLSR) can be implemented only if all states are available for feedback. This work demonstrates that when only the output state is available for feedback, a nonlinear controllers can give improved performance over that obtained by a proportional controller. This paper found the optimal control law by dynamic programming and principles of optimalityl. This, performances of both proportional and nonlinear controllers are compared with performance of optimum linear state regulator.

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Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems (이산시간 불확실 특이시스템의 유한시간 강인 산일성 상태궤환 제어기 설계)

  • Kim, Jong Hae;Oh, Do Chang
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.11
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    • pp.1598-1604
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    • 2015
  • In this paper, we treat the problem of a robust finite-time dissipative state feedback controller design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for finite-time stability of discrete-time singular systems is derived. A finite-time dissipative state feedback controller design method satisfying finite-time stability and dissipativity is proposed by LMI(linear matrix inequality) technique on the basis of the obtained BRL. Moreover it is shown that the obtained condition can be extended into polytopic uncertain systems by proper manipulations. Finally, illustrative examples are given to show the applicability of the proposed method.

Robust H\ulcorner Control for Delayed System with Time-Varying Norm-Bounded Parameter Uncertainty

  • Kim, Jong-Hae;Jeung, Eun-Tae;Park, Hong-Bea
    • Journal of Electrical Engineering and information Science
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    • v.1 no.2
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    • pp.33-38
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    • 1996
  • In this paper, we present a robust H\ulcorner control design method for parameter uncertain systems that have delay in both state and control input. Through a certain algebraic Riccati inequality approach, a state feedback controller is obtained. The proposed state feedback controller stabilizes parameter uncertain delay systems and guarantees disturbance attenuation within a prescribed level. An illustrative example is given to demonstrate the results of the proposed method.

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A New Nonlinear Feedback Controller Eventually Converges to SDRE Based Optimal Controller

  • Yim, Sang-Bin;Oh, Jun-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.172.2-172
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    • 2001
  • We introduce a new stable feedback controller eventually converges to a conventional SDRE(State Dependent Riccati Equation) based optimal (suboptimal) controller. On conventional SDRE, the optimal control input should be obtained by backward integration of the SDRE at each control point. The proposed controller is given by direct forward integration of a proposed SDRE. This fact enables fast computation and easy implementation. On concerning a state dependent system, the proposed controller may be a candidate to the conventional SDRE based optimal controller if the system is slow varying with states. Though the controller is fast and easy to implement it is not able to cope with a fast varying system. We introduce an optimality index, which indicates how far the proposed controller is deviated from the solution of the convectional SDRE. If the index escapes a ...

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Fuzzy Controller for Nonlinear Systems Using Intelligent Digital Redesign (지능형 디지털 재설계기법을 이용한 비선형 시스템의 제어기 설계)

  • 이상준;이남수;주영훈;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.176-179
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    • 2000
  • This paper addresses a fuzzy controller for nonlinear systems control using a pole placement in a specified disk and fuzzy controller is redesign for Intelligent digital redesign method. for nonlinear system, we obtain continuous time state feedback gain that guarantee stability of globally TS fuzzy system. The feedback gain is satified pole placement in a specified disk region so that the closed loop system is stable, For digital control redesgin of continuous time TS fuzzy model, we does state matching and obtain feedback gain of digital controller. Finally, it is shown that the proposed method is feasible through a computer simulation.

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An Output Feedback $H_\infty$ Controller Design for Linear Systems with Commensurate Time Delay (커멘슈레이트 시간지연을 갖는 선형시스템의 출력궤환 $H_\infty$ 제어기 설계)

  • Yoo, Seog-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.4
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    • pp.1-10
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    • 2000
  • This paper deals with an H$_{\infty}$ output feedback control problem for linear systems with commensurate time delay in both state and input variables. The proposed output feedback controller also has commensurate time delay terms in the controller state. The controller can be synthesized based on the solution of the linear matrix inequalities(LMI) which can be easily solved using the convex optimization method. In order to demonstrate the efficacy of the proposed method, numerical examples are presented.

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NFL-$H_{\infty}$/SMC Design for Nonlinear PSS : Part B (비선형 PSS을 위한 NFL-$H_{\infty}$/SMC 의 설계 : Part B)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.970-972
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    • 1998
  • In this paper, the standard Dole, Glover, Khargoneker, and Francis (abbr. : DGKF 1989) $H_{\infty}$ controller $(H_{\infty}C)$ is extended to the nonlinear feedback linearization-$H_{\infty}$ /sliding mode controller (NFL-$H_{\infty}$/SMC) to solve the problem associated with the full state feedback for the unmeasurable state variables in the conventional SMC, to obtain the smooth control as the linearized controller for a linear system (or to cancel the nonlinearity for the nonlinear system), and to improve the time-domain performance under worst case.

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(Robust Non-fragile $H^\infty$ Controller Design for Parameter Uncertain Systems) (파라미터 불확실성 시스템에 대한 견실 비약성 $H^\infty$ 제어기 설계)

  • Jo, Sang-Hyeon;Kim, Gi-Tae;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.3
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    • pp.183-190
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    • 2002
  • This paper describes the synthesis of robust and non-fragile H$\infty$ state feedback controllers for linear varying systems with affine parameter uncertainties, and static state feedback controller with structured uncertainty. The sufficient condition of controller existence, the design method of robust and non-fragile H$\infty$ static state feedback controller, and the set of controllers which satisfies non-fragility are presented. The obtained condition can be rewritten as parameterized Linear Matrix Inequalities(PLMls), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. However, in contrast to LMIs, PLMIs feasibility problems involve infinitely many LMIs hence are inherently difficult to solve numerically. Therefore PLMls are transformed into standard LMI problems using relaxation techniques relying on separated convexity concepts. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of controller gain variations within a degree.

Asynchronous State Feedback Control for SEU Mitigation of TMR Memory (비동기 상태 피드백 제어를 이용한 TMR 메모리 SEU 극복)

  • Yang, Jung-Min;Kwak, Seong-Woo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.8
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    • pp.1440-1446
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    • 2008
  • In this paper, a novel TMR (Triple Modular Redundancy) memory structure is proposed using state feedback control of asynchronous sequential machines. The main ability of the proposed structure is to correct the fault of SEU (Single Event Upset) asynchronously without resorting to the global synchronous clock. A state-feedback controller is combined with the TMR realized as a closed-loop asynchronous machine and corrective behavior is operated whenever an unauthorized state transition is observed so as to recover the failed state of the asynchronous machine to the original one. As a case study, an asynchronous machine modelling of TMR and the detailed procedure of controller construction are presented. A simulation results using VHDL shows the validity of the proposed scheme.

Stabilization Control of Inverted Pendulum Systems Using a State Observer (상태관측기를 이용한 도립진자 시스템의 안정화 제어)

  • Lee, Yun-Hyung;Ahn, Jong-Kap;Kim, Min-Jeong;So, Myung-Ok;Jin, Gang-Gyoo
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.11a
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    • pp.49-50
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    • 2005
  • This paper presents a scheme for state observer-based stabilization control of inverted pendulum systems. The feedback gain matrices of both the state feedback controller and the state observer are obtained by a real-coded genetic algorithm(RCGA) such that the given performances indices are minimized.

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