• Title/Summary/Keyword: state-feedback control

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Receding horizon controller deign for fuzzy systems with input constraints

  • Jeong, Seung-Cheol;Choi, Doo-Jin;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.83.4-83
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    • 2002
  • $\bullet$ We present a state-feedback RHC for discrete-time TS fuzzy systems with input constriants. $\bullet$ The controller employ the current and one-step past information on the fuzzy weighting functions. $\bullet$ It is obtained from the finite horizon optimization problem with the invariant ellipsoid constraint $\bullet$ Under parameterized LMI conditions on the terminal weighting matrix $\bullet$ The closed-loop system stability is guaranteed. $\bullet$ The parameterized linear matrix inequalities are relaxed to a finite number of solvable LMIs.

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$H^{\infty}$-Optimal Design Using Hankel-Approximation (Hankel-근사화를 이용한 $H^{\infty}$--최적설계)

  • 이경준;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.34-39
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    • 1991
  • In this paper, we provide a treatment of the $H^{\infty}$-mixed sensitivity optimization approach to feedback system design. With compromising between the effect of a disturbance at the plant output and the effect of plant perturbations, we propose an algorithm to design robust controller. A $H^{\infty}$-optimization problem is to be equivalent to a Hankel-approximation, this enables the problem to be solved using state-space methods based on balanced realizations.s.

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A NEW APPROACH FOR STABILIZATION OF NONSTENDAD SINGULARLY PERTYRBED SYSTEMS

  • Xu, Hua;Mukaidani, Hiroaki;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.99-102
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    • 1995
  • In this paper, we consider the stabilization problem of nonstandard singularly perturbed systems by using state feedback. Different fro the existing sequenetial designn procedures, we propose a parallel design method to construct the stabilizing controller. The method involves solving two completely independent algebraic Riccati equations.

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Controller Design for Input-Saturated Linear Systems

  • C., Doojin;P., PooGyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.126-126
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    • 2000
  • In this paper, we provide an approach of controller synthesis for input-saturated linear systems by a linear parameter varying (LPV) framework. Using directly the saturation nonlinearity as scheduling parameters, we propose an LPV-stabilizer with parameter-dependent dynamic state-feedback controller concept. Especially, the synthesis conditions are formulated in terms of linear matrix inequalities (LMIs) that can be solved very efficiency.

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A Study on the Hybrid Position Control of the Liquid-Slop System (Liquid-Slop 시스템의 하이브리드제어에 관한 연구)

  • Ju, Hae-Ho;Lee, Jae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.9 no.4
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    • pp.58-64
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    • 1992
  • 이 논문에서는 Hoop속에 Ball이 구르는 간단한 전기 기계 구동 장치를 고려 하였다. 이 장치의 구조는 간단하지만 원유수송선과 같은 대형 액체를 고속 수송할 때 발생되는 "liquid slop"문제를 해석하고 제어하는데 좋은 모델이 된다. 본 연구에서는 liquid slop dynamics를 언급 하였고, 이러한 시스템을 제어 하기 위하여 재래식 PID, state-feedback 알고리즘의 유용성을 검토하였고 하이브리드 제어방식을 제안하였다. 하이브리드 제어방식이 다른방식보다 성능면에서 다소 우세함을 알 수 있었다.을 알 수 있었다.

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LMI-based Design of Integral Sliding Mode Controllers for Polytopic Models (폴리토픽 모델을 갖는 시스템을 위한 적분 슬라이딩 모드 제어기의 LMI 기반 설계)

  • Choi, Han-Ho
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.9
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    • pp.44-48
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    • 2010
  • This paper presents an LMI-based method to design an integral sliding mode controller for an uncertain system with a polytopic model. The uncertain system under consideration may have mismatched parameter uncertainties in the state matrix as well as in the input matrix. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law.

Transport Simulation of The Operation Modes in a KT-2 Tokamak

  • B. G. Hong;Lee, K. W.;Kim, S. K.
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05b
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    • pp.1027-1032
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    • 1995
  • To develop operation scenarios of KT-2 tokamak, 3 operation modes(OH, high ${\beta}$ and high bootstrap) deduced from zero dimensional steady-state power balance are examined with TSC(Tokamak Simulation Code) time-dependent transport .ode. Plasma profiles are evaluated self consistently during simulations and plasma shapes are maintained by feedback control on PF coil currents. Simulations show operation modes which are typical of KT-2 expected discharges are compatible with the KT-2 PF system design specifications[1].

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Robust $H_8$State Feedback Congestion Control of ATM for linear discrete-time systems with Uncertain Time-Variant Delay

  • Kang, Lae-Chung;Kim, Young-Joong;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1758-1763
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    • 2004
  • This paper focuses on congestion control for ATM network with uncertain time-variant delays. The time-variant delays can be distinguished into two distinct components. The first one is represented by time-variant queueing delays in the intermediate switches that are occurred in the return paths of RM cells. The next one is a forward path delay. It is solved by the VBR model which quantifies the data propagation from the sources to the switch. Robust $H_8$ control is studied for solving congestion problem with norm-bounded time-varying uncertain parameters. The suitable robust $H_8$ controller is obtained from the solution of a convex optimization problem through LMI technique.

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Constrained Robust Model Predictive Control with Enlarged Stabilizable Region

  • Lee, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1-4
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    • 2004
  • The dual-mode strategy has been adopted in many constrained MPC methods. The size of stabilizable regions of states of MPC methods depends on the size of underlying feasible and positively invariant set and number of control moves. These results, however, could be conservative because the definition of positive invariance does not allow temporal leave of states from the set, In this paper, a concept of periodic invariance is introduced in which states are allowed to leave a set temporarily but return into the set in finite steps. The periodic invariance can defined with respect to sets of different state feedback gains. These facts make it possible for the periodically invariant sets to considerably larger than ordinary invariant sets. The periodic invariance can be defined for systems with polyhedral model uncertainties. We derive a MPC method based on these periodically invariant sets. Some numerical examples are given to show that the use of periodic invariance yields considerably larger stabilizable sets than the case of using ordinary invariance.

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Critical Control Systems Design via LTR Technique

  • Ishihara, Tadashi;Imai, Minoru;Ono, Takahiko;Inooka, Hikaru
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.19-24
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    • 2003
  • A new method for designing critical control systems is proposed in this paper. The controller structure is chosen as a Davison type integral controller with an observer. The proposed method consists of two steps. First, the state feedback critical control system is designed using a quadratic performance index with tunable parameters. Second, the observer gain matrix is determined by the formal LTR procedure using a Riccati equation. Consequently, the search space can be reduced considerably compared with the conventional approach. Although the proposed method sacrifices a large freedom for the choice of controller structure provided by the principle of matching, the controller structure used in this paper is not excessively complex and can be used for most applications. An illustrative design example is presented.

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