• Title/Summary/Keyword: $H_\infty$ 제어

Search Result 665, Processing Time 0.038 seconds

Adaptive Receding Horizon $H_{\infty}$ Controller Design for LPV Systems

  • P., PooGyeon;J., SeungCheol
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2000.10a
    • /
    • pp.535-535
    • /
    • 2000
  • This paper presents an adaptive receding horizon H$_{\infty}$ controller for the linear parameter varying systems in the deterministic environment, which combines a parameter range estimator and a robust receding horizon H$_{\infty}$ controller using the parameter bounds. Using parameter set inclusion and terminal inequality condition, the closed-loop system stability is guaranteed. It is shown that the stabilizing adaptive receding horizon H$_{\infty}$ controller guarantees the H$_{\infty}$ norm bound.

  • PDF

A study on the design of $H_{2}$/$H_{\infty}$ robust controller-polynomial approach ($H_{2}$/$H_{\infty}$ 강인제어기 설계에 관한 연구-다항식 접근방법)

  • 박승규;송대원
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1996.10b
    • /
    • pp.751-753
    • /
    • 1996
  • The $H_{2}$/$H_{\infty}$ robust controller is designed by using polynomial approach. This controller can minimise a $H_{2}$ norm of error under the fixed bound of $H_{\infty}$ norm of mixed sensitivity function by employing the Youla parameterization and using polynomial approach at the same time. It is easy to apply this controller to adaptive system.

  • PDF

$H^{\infty}$-optimization using the modified interpolation algorithm (개선된 보간 알고리즘을 이용한 $H^{\infty}$-최적화)

  • 이태형;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1991.10a
    • /
    • pp.46-51
    • /
    • 1991
  • An algorithm of finding a solution to an $H^{\infty}$-minimization problem is proposed, and the solution is obtained explicity in terms of closed-form. We construct an optimal controller subject to the interpolation constraints such that $H^{\infty}$-norm and the minimized value of transfer function matrix are equal.l.

  • PDF

Delay-dependent Fuzzy H Controller Design for Delayed Fuzzy Dynamic Systems (시간지연 퍼지 시스템의 지연 종속 퍼지 H제어기 설계)

  • Lee, Kap-Rai
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.14 no.5
    • /
    • pp.571-576
    • /
    • 2004
  • This paper presents a delay dependent fuzzy $H_{\infty}$ controller design method for delayed fuzzy dynamic systems. Using delay-dependent Lyapunov function, the global exponential stability and $H_{\infty}$ performance problem arc discussed. A sufficient conditions for the existence of fuzzy controller is presented in terms of linear matrix inequalities(LMIs). A simulation example is given to illustrate the design procedures and performances of the proposed methods.

Nonlinear $H_2/H_\infty/LTR$ Control of the Parallel Flexible Inverted Pendulum Connected by a Spring (스프링 연결 병렬형 탄성 역진자의 비선형 $H_2/H_\infty/LTR$ 제어)

  • 한성익
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.6 no.5
    • /
    • pp.356-366
    • /
    • 2000
  • In this paper, a nonlinear $H_2/H_\infty/LTR$ control for the flexible inverted pendulum of a parallel type with Coulomb friction is presented. The dynamic equation for this system is derived by the Hamilton's principle and assumed-mode method. This hard nonlinear system can be modeled by a the quasi-linear state space model using the REF method. It is shown that the $H_2/H_\infty$ control can be applied to the nonlinear controller design of the system having Coulomb frictions if the proper LTR conditions are satisfied. In order to present the usefulness of the suggested control method, the nonlinear $H_2/H_\infty/LTR$ controller is designed to control the Position of the end point of the flexible inverted pendulum that has Coulomb frictions present in actuator parts. The results are given via computer simulations.

  • PDF

Mixed $H_2$/$H_{\infty}$ Output Feedback Controller Design for Time-Delayed System (시간지연 시스템에 대한 혼합 $H_2$/$H_{\infty}$ 출력궤환 제어기 설계)

  • 양혜진;김종해;조용철;박흥배
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2000.10a
    • /
    • pp.331-331
    • /
    • 2000
  • This paper presents the mixed $H_2/H_{\infty}$ output feedback controIler design method for linear systems with delayed state. The objective is to design the output feedback controller which minimizes the H$_2$-norm of one transfer function while ensuring the H$_{\infty}$-norm of the other is held below a chosen level. When objective is tormulated in terms of a common Lyapunov function, the sufficient conditions of existence of mixed $H_2/H_{\infty}$ controller are given in terms of LMIs. terms of LMIs.

  • PDF

A Robust $H^{\infty}$ Controller for Active Suspensions Based on a Full-Car Model (차량의 능동형 현가장치를 위한 강인한 $H^{\infty}$ 제어기 설계)

  • Park, Jong-Hyeon;Kim, Young-Seok
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.6 no.2
    • /
    • pp.146-154
    • /
    • 2000
  • An $H\infty$ controller is designed for active suspensions of vehicles using 7-degree-of-freedom full-car model. Its performance robustness as well as stability robustness to system parameter variations and unmodelled dynamics are assured through the $\mu$-framework. The performance of the $H\infty$ controller is compared with that of a LQC controller in compute simulations. From the simulations it is found that the active suspension with the $H\infty$ controller reduces the acceleration and motion of the sprung mass in the heaving rolling and pitching directions when the car is driven on a normal road or through an asymmetric bump. The suspension stroke and the road holding capability are also improved with a relatively small level of power consumption. Overall the $H\infty$ controller shows a more robust performance than that of the LQG design.

  • PDF

Application of GA to Design on Optimal Multivariable $H_{\infty}$ Control System (최적 다변수 $H_{\infty}$ 제어 시스템의 설계를 위한 GA의 적용)

  • 황현준;김동완;정호성;박준호;황창선
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.5 no.3
    • /
    • pp.257-266
    • /
    • 1999
  • The aim of this paper is to suggest a design method of the optimal multivariable $H_{\infty}$ control system using genetic algorithm (GA). This $H_{\infty}$ control system is designed by applying GA to the optimal determination of weighting functions and design parameter $\gamma$ that are given by Glover-Doyle algorithm which can design $H_{\infty}$ controller in the state space. The first method to do this is that the gains of weighting functions and $\gamma$ are optimized simultaneously by GA with tournament method. And the second method is that not only the gains and $\gamma$ but also the dynamics of weighting functions are optimized at the same time by eA with roulette-wheel method. The effectiveness of this $H_{\infty}$ control system is verified by computer simulation.

  • PDF

State Feedback $H^{\infty}$ Controller Design for Linear Systems with Time-delays (시간지연을 가지는 선형 시스템에 대한 상태궤환 $H^{\infty}$제어기 설계)

  • Jeong, Eun-Tae;Lee, Gap-Rae;Lee, Jae-Myeong;Park, Hong-Bae
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.2 no.1
    • /
    • pp.1-4
    • /
    • 1996
  • This paper presents a state feedback $H^{\infty}$ controller design method for linear systems with delayed states and inputs. We derive a sufficient condition that the closed-loop system is asymptotically stable for all time-delays and that the $H^{\infty}$-norm of the closed-loop transfer function is less than or equal to some prescribed level $\gamma$. And we propose a sufficient condition for the existence of a state feedback $H^{\infty}$ controller using a form of linear matrix inequality(LMI). Furthermore, we show that the state feedback $H^{\infty}$ controllers can be obtained from solutions satisfying LMI.

  • PDF

Robust and Reliable $H_\infty$ Control for Linear Systems with Parameter Uncertainty (파라메타 불확실성을 갖는 선형시스템에 대한 강한 신뢰 $H_\infty$제어)

  • 서창준;김병국
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1993.10a
    • /
    • pp.498-503
    • /
    • 1993
  • In this paper, a robust and reliable H$_{\infty}$ control problem is considered for linear uncertain systems with time-varying norm-bounded uncertainty in the state matrix, which performs well despite of actuator outages. Using linear static state feedback and the quadratic stabilization with H$_{\infty}$-norm bound, a robust and reliable H$_{\infty}$ controller is obtained that stabilizes the plant and guarantees an H$_{\infty}$-norm bound constraint on disturbance attenuation for all admissible uncertainties and normal state as well as faulty state of actuators. It provides a sufficient condition for robust and reliable stabilization with H$_{\infty}$-norm bound. Reliability is guaranteed provided actuator outages only occur within a prespecified subset of actuators.tors.

  • PDF