• 제목/요약/키워드: Linear matrix inequalities

검색결과 330건 처리시간 0.027초

시변 지연이 존재하는 선형시스템의 개선된 안정성 판별법 (Improved Stability Criteria for Linear Systems with Time-varying Delay)

  • 권오민;박주현;이상문
    • 전기학회논문지
    • /
    • 제59권12호
    • /
    • pp.2284-2291
    • /
    • 2010
  • In this paper, improved stability criteria for linear systems with time-varying delays are proposed. By constructing a new Lyapunov functional, novel stability criteria are established in terms of linear matrix inequalities (LMIs). Two numerical examples are carried out to support the effectiveness of the proposed method.

H$\infty$ controller design for input-saturated linear systems

  • Choi, Ki-Hoon;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2001년도 ICCAS
    • /
    • pp.75.2-75
    • /
    • 2001
  • In this paper, we provide the technique of H$\infty$ controller design algorithm for input-saturated linear systems using a linear parameter varying(LPV) framework. The LPV controller with parameter dependent dynamic state feedback controller concept guarantees the asymtotic stability and H$\infty$ norm bound within prescribed level v using the saturation nonlinearity as scheduling parameters. Especially, the sufficient conditions for the existence of H$\infty$ controller are formulated in terms of linear matrix inequalities(LMIs) that can be solved very efficiently.

  • PDF

Controller Design for Input-Saturated Linear Systems

  • C., Doojin;P., PooGyeon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
    • /
    • pp.126-126
    • /
    • 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.

  • PDF

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

  • 김홍락;유석환
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1996년도 추계학술대회 논문집 학회본부
    • /
    • pp.42-45
    • /
    • 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.

  • PDF

New Stability Criteria for Linear Systems with Interval Time-varying State Delays

  • Kwon, Oh-Min;Cha, Eun-Jong
    • Journal of Electrical Engineering and Technology
    • /
    • 제6권5호
    • /
    • pp.713-722
    • /
    • 2011
  • In the present paper, the problem of stability analysis for linear systems with interval time-varying delays is considered. By introducing a new Lyapunov-Krasovskii functional, new stability criteria are derived in terms of linear matrix inequalities (LMIs). Two numerical examples are given to show the superiority of the proposed method.

불확실성이 포함된 비선형 시스템에 대한 전역적 접근의 지능형 디지털 재설계 (Intelligent Digital Redesign of Uncertain Nonlinear Systems : Global approach)

  • 성화창;주영훈;박진배;김도완
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
    • /
    • pp.95-98
    • /
    • 2005
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated linear operators to be matched. Also by using the power series, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete -time system have proper reason. Sufficiently conditions for the global state -matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMls). Finally, we prove the effectiveness and stabilization of the proposed intelligent digital redesign method by applying the chaotic Lorentz system.

  • PDF

LMI 기법을 이용한 방향성 통신 토폴로지를 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems with Directed Communication Topology Using LMI Approach)

  • 김수범;최현철;이성훈;김강석;주성열;홍우영
    • 한국군사과학기술학회지
    • /
    • 제14권5호
    • /
    • pp.941-947
    • /
    • 2011
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with directed communication topology. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with directed graph. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. Examples are presented to show the effectiveness of the proposed method.

파라미터 불확실성을 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems With Parameter Uncertainties)

  • 김수범;최현철;김형준;심형보;서진헌
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
    • /
    • pp.67-69
    • /
    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with parameter uncertainties. All the agents are identical high-order linear systems with parameter uncertainties and their state information is exchanged through a communication network. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. A numerical example is presented to show the effectiveness of the proposed method.

  • PDF

통신지연을 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems With Communication Delay)

  • 최현철;김수범;김성준;심형보;서진헌
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
    • /
    • pp.88-90
    • /
    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with communication delay. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with constant communication delay. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems with delay. A numerical example is presented to show the effectiveness of the proposed method.

  • PDF

시변 파라메터를 갖는 선형시스템의 균형화된 모델 간략화 (A Balanced Model Reduction for Linear Parameter Varying Systems)

  • 류석환
    • 제어로봇시스템학회논문지
    • /
    • 제8권5호
    • /
    • pp.351-356
    • /
    • 2002
  • This papaer deals with a model reduction problem for linear systems with time varying parameters. For this problem, a controllability Grammian and an observability Grammian are introduced and computed by solving linear matrix inequalities. Using the controllability/observability Grammian, a balanced state space realization for linear parameter varying systems is obtained. From the balanced state space realization, a reduced model can be obtained by truncating not only states but also time varying parameters and an upper bound of the model reduction error is derived as well.