• Title/Summary/Keyword: $H^\infty$control

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Performance Analyses of TDF $H_\infty$ Controllers for Uncertain Systems (불확실한 시스템에 대한 2-자유도 $H_\infty$ 제어기의 성능해석)

  • 강영중;이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.477-481
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    • 1993
  • The aim of this paper is to analyze via computer simulation the robust performance of TDF(Two Degree of Freedom) H.$_{\infty}$ controller for uncertain systems having parameter uncertainty. We apply the TDF H$_{\infty}$ controller to autopilot design. We evaluate the robust performance of the TDF H$_{\infty}$ controller for uncertain systems and present the guaranteed bound of robust performance via computer simulation.on.

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Robust Controller Design by $\textrm{H}_\infty$ Method for a Launch Vehicle ($\textrm{H}_\infty$ 기법에 의한 발사체의 견실한 제어기 설계)

  • 이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.463-468
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    • 1992
  • In this paper, discrete-time H$_{\infty}$ controller design in .delta.- domaion using Normalized Coprime Factor plant description is proposed and the loop-shaping method developed by Mcfalane[2], which is known to be very simple and systematic method, is adopted here in H$_{\infty}$ controller design. In particular, we show that .delta.- H$_{\infty}$ controller proposed here is a unified form for the continuous and discrete-time cases.es.

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An $H_{\infty}$ Controller Design for linear Systems with Input Time Delay (제어 입력에 시간 지연을 갖는 선형 시스템의 $H_{\infty}$ 설계)

  • Kim, Hong-Rak;Yoo, Seog-Hwan
    • Proceedings of the KIEE Conference
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    • 1996.11a
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    • pp.42-45
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    • 1996
  • This paper presents a solution of the $H_{\infty}$ control problem for linear systems with input time delay. $H_{\infty}$ norm bounded condition is obtained as a sufficient condition for linear systems with input time delay. Based upon this sufficient condition, an $H_{\infty}$ controller design method which involves the solutions of linear matrix inequalities via convex optimization is developed.

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Design of $H_{\infty}$ Controller with Different Weighting Functions Using Convex Combination

  • Kim Min-Chan;Park Seung-Kyu;Kwak Gun-Pyong
    • Journal of information and communication convergence engineering
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    • v.2 no.3
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    • pp.193-197
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    • 2004
  • In this paper, a combination problem of controllers which are the same type of $H_{\infty}$ controllers designed with different weighting functions. This approach can remove the difficulty in the selection of the weighting functions. As a sub-controller, the Youla type of $H_{\infty}$ controller is used. In the $H_{\infty}$ controller, Youla parameterization is used to minimize $H_{\infty}$ norm of mixed sensitivity function by using polynomial approach. Computer simulation results show the robustness improvement and the performance improvement.

Robust H$\infty$ control of uncertain nonlinear systems (불확실한 비선형 시스템에 대한 H$\infty$ 강인제어)

  • 송성호;하인중
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.3
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    • pp.393-398
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    • 1996
  • In this paper, we consider H.inf. control of nonlinear systems which have not only additive uncertainties but also input-multiplicative uncertainties. Using the relation between the L$_{2}$ gain of a nonlinear system and the Hamilton-Jacobi-Isaacs inequality, we define

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Nonlinear H$\infty$ Control for Linear Systems using Nonlinear Weight

  • Kubota, K.;Samei, M.;Shimizu, E;Koga, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.60-63
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    • 1996
  • This study deals with the nonlinear H$_{\infty}$ control problem of linear system using nonlinear weight. Generally the solvable condition of nonlinear H$_{\infty}$ control problem is given by the Hamilton Jacobi equality or inequality, but it is very difficult to solve. In this study, some constraints of nonlinear weight reduce the solvable condition to linear Riccati equation. Some examples of the control system design using nonlinear weight are shown.n.

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Robust Two Degree of Freedom $H_\infty$ Control for Uncertain Systems

  • Kang, Young-Jung;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.355-359
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    • 1993
  • This paper deals with the problem of robust TDF(Two Degree of Freedom) H$_{\infty}$ control design for a linear system with parameter uncertainty in the state space model. The uncertain system considered here is with the time-invariant norm-bounded parameter uncertainty in the state matrix. A TDF H$_{\infty}$ control design is presented which robustly stabilizes the plant, guarantees the robust H$_{\infty}$ performance and improves the tracking performance for the closed-loop system in the face of parameter uncertainty. It is shwon that a suitable stabilizing control law can be constructed in terms of a positive definite solution to a certain parameter-dependent algebraic Riccati equation and a good tracking performance can be constructed in terms of suitable feedforward control law.aw.

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Fuzzy H$\infty$ Filtering for Nonlinear Systems with Time-Varying Delayed States

  • Lee, Kap-Rai;Lee, Jang-Sik;Oh, Do-Chang;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.99-105
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    • 1999
  • This paper presents a fuzzy H$\infty$ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown inital state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadraic Lyapunov function, the stability and L2 gain performance from the noise signals to the estimation error are discussed. Sufficient conditions for the existence of fuzzy H$\infty$ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also be directly obtained from the solutions of LMIs.

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Robust Reliable H$\infty$ a Control of Continuous/Discrete Uncertain Time Delay Systems using LMI

  • Kim, Jong-Hae;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.121-127
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    • 1999
  • In this paper, we present robust reliable H$\infty$ controller design methods of continuous and discrete uncertain time delay systems using LMI (linear matrix inequality) technique, respectively. Also the existence conditions of state feedback control are proposed . Using some changes of variables and Schur complements, the obtained sufficient conditions are transformed into an LMI form. The closed loop system by the obtained controller is quadratically stable with H$\infty$ norm bound for all admissible uncertainties, time delay, and all actuator failures occurred within the prespecified set. We show the validity of the proposed method through numerical example.

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Stabilizable Predictiye Control with $H_{\infty}$ performance : The State-space approach ($H_{\infty}$ 성능을 가지는 안정화 예측제어 : 상태공간 접근법)

  • 정종남;조상현;전재완;박흥배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.269-269
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    • 2000
  • This paper presents a predictive control with H$_{\infty}$ suboptimal performance which is robust to disturbances and has a guaranteed stability. In order to derive the control law conveniently, state-space based approach, where the state variable is involved explicitly in the controller design and implementation is allowed. So an input-output model is converted to an equivalent observable canonical state-space form. The suggested control guarantees the norm bounded system output values from disturbances. A systematic way using the LMI method is presented to obtain appropriate parameters for Quadratic stability condition and optimization problem.

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