• 제목/요약/키워드: Singular systems

검색결과 367건 처리시간 0.03초

On D-admissibility Conditions of Singular Systems

  • Gao, Lixin;Chen, Wenhai
    • International Journal of Control, Automation, and Systems
    • /
    • 제5권1호
    • /
    • pp.86-92
    • /
    • 2007
  • In this paper, we first establish $D_L$-admissibility and $D_R$-admissibility conditions for singular systems. The admissibility conditions expressed as Lyapunov type inequalities extend the existed results of normal systems to singular systems. As special cases the admissibility conditions of the continuous-time and the discrete-time singular systems can be obtained directly. The results established in this paper can be applied to solve the problems of eigenvalue assignment, regional pole-placement and robust control etc.

On the stabilization of singular bilinear systems

  • Liang, Jia-Rong;Choi, Ho-Lim;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2003년도 ICCAS
    • /
    • pp.449-451
    • /
    • 2003
  • In this paper, the stability problem for singular bilinear system is investigated. We present state feedback control laws for two classes of singular bilinear plants. Asymptotic stability of the closed-loop systems is derived by employing singular Lyapunov's direct method. The primary advantage of our approach lies in its simplicity. In order to verify effectiveness of the results, two numerical examples are given.

  • PDF

이산시간 지연 불확실 특이시스템의 지연 종속 및 변수 종속 강인 안정성 (Delay-dependent and Parameter-dependent Robust Stability for Discrete-time Delayed Uncertain Singular Systems)

  • 김종해
    • 전기학회논문지
    • /
    • 제59권4호
    • /
    • pp.788-792
    • /
    • 2010
  • The problem of delay-dependent and parameter-dependent robust stability condition for discrete-time uncertain singular systems with polytopic uncertainty and interval time-varying delay is considered. A new robust stability condition based on parameter-dependent Lyapunov function is derived in terms of LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general condition for both singular and non-singular systems. A numerical example is presented to demonstrate the effectiveness of the proposed method.

입력 시간지연 시스템의 한켈 연산자와 지연특성에 관한 연구 (A study on the delay-characteristics and hankel operators of input delay systems)

  • 하희권;황이철;이만형
    • 제어로봇시스템학회논문지
    • /
    • 제6권1호
    • /
    • pp.1-7
    • /
    • 2000
  • This paper studies the delay-characteristics using the singular values and vectors of Hankel operators for input delay systems. First, the computational method of Hankel singular values and their corresponding singular vectors are introduced, and then it is analytically provea that all the Hankel singular vlues have a monotone increasing properties as the length of delay time increases. Furthermore, through a simple numerical example, it is shown that the Hankel singular values are dependent only on the ratio of the time constant of a lumped parameter system to the length of delay , and in case that the time constant is relatively larger than the delay time, the lumped parameter characteristic has a great influence on the input delay systems.

  • PDF

복수 입력 시간지연 시스템의 한켈 근사화 (Hankel approximation of commensurate input delay systems)

  • 황이철;태전쾌인
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
    • /
    • pp.1452-1455
    • /
    • 1997
  • This paper studies the problem of approximating commensurate input delay sustems by finite dimensional systems based on the Hankel singular values. I is shown that the Gankel singular values are solutions a trancendental equation and the Hankel singular vectors are obtained form the kernel of the matrix. The computaioin is carried out in state spae framework. Once singular values and vectors are calcualted, finite dimensional approximated systems are constructed using stadnard linear system computational tools. An example is included.

  • PDF

ILL-VERSUS WELL-POSED SINGULAR LINEAR SYSTEMS: SCOPE OF RANDOMIZED ALGORITHMS

  • Sen, S.K.;Agarwal, Ravi P.;Shaykhian, Gholam Ali
    • Journal of applied mathematics & informatics
    • /
    • 제27권3_4호
    • /
    • pp.621-638
    • /
    • 2009
  • The linear system Ax = b will have (i) no solution, (ii) only one non-trivial (trivial) solution, or (iii) infinity of solutions. Our focus will be on cases (ii) and (iii). The mathematical models of many real-world problems give rise to (a) ill-conditioned linear systems, (b) singular linear systems (A is singular with all its linearly independent rows are sufficiently linearly independent), or (c) ill-conditioned singular linear systems (A is singular with some or all of its strictly linearly independent rows are near-linearly dependent). This article highlights the scope and need of a randomized algorithm for ill-conditioned/singular systems when a reasonably narrow domain of a solution vector is specified. Further, it stresses that with the increasing computing power, the importance of randomized algorithms is also increasing. It also points out that, for many optimization linear/nonlinear problems, randomized algorithms are increasingly dominating the deterministic approaches and, for some problems such as the traveling salesman problem, randomized algorithms are the only alternatives.

  • PDF

Robust non-fragile $H_{\infty}$ control of singular systems

  • Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2005년도 ICCAS
    • /
    • pp.2112-2115
    • /
    • 2005
  • This paper considers the synthesis of non-fragile $H_{\infty}$ state feedback controllers for singular systems and static state feedback controller with multiplicative uncertainty. The sufficient condition of controller existence, the design method of non-fragile $H_{\infty}$ controller, and the measure of non-fragility in controller are presented via LMI(linear matrix inequality) technique. Also, through singular value decomposition, some changes of variables, and Schur complements, the sufficient condition can be rewritten as LMI form in terms of transformed variables. Therefore, the obtained non-fragile $H_{\infty}$ controller guarantees the asymptotic stability and disturbance attenuation of the closed loop singular systems within a prescribed degree. Finally, a numerical example is given to illustrate the design method.

  • PDF

시변 시간지연을 가지는 불확실 특이시스템의 변수 종속 강인 안정성 (Parameter-dependent Robust Stability of Uncertain Singular Systems with Time-varying Delays)

  • 김종해
    • 전자공학회논문지SC
    • /
    • 제47권4호
    • /
    • pp.1-6
    • /
    • 2010
  • 본 논문에서는 상태에 시변 시간지연과 폴리토픽 변수 불확실성을 가지는 특이시스템을 위한 새로운 지연 종속 및 변수 종속 강인 안정성 조건을 제시한다. 새로운 변수종속 리아푸노프 함수를 기반으로 구한 강인 안정성 조건은 볼록최적화가 가능한 선형행렬부등식으로 나타난다. 제안하는 조건은 비특이시스템과 특이시스템의 강인 안정성 문제에 동시에 적용가능한 일반적인 알고리듬이다. 수치예제를 통하여 제시한 강인 안정성 조건의 타당성을 보이고, 기존의 비특이시스템의 결과들과의 비교를 통하여 제안한 조건이 덜 보수적임을 확인한다.

블럭펄스함수를 이용한 Singular 시스템 해석의 새로운 접근 (Analysis of singular systems via block pulse function : Some new results)

  • 안비오;진준하;김병기
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
    • /
    • pp.410-412
    • /
    • 1998
  • Some resent papers deals with the solution of LTI singular systems described in state-space via orthogonal functions. There are some complexity to derive the solution because all the previous works[2]-[5] used orthogonal function's integral operation. Therefore, in this paper, some new results are introduced by using a differential operation of orthogonal function to solve the LTI singular systems.

  • PDF

특이점 근방에서 역 기구학 해를 구하기 위한 자동 감쇄 분배 방법 (A Damping Distribution Method for Inverse Kinematics Problem Near Singular Configurations)

  • 성영휘
    • 제어로봇시스템학회논문지
    • /
    • 제4권6호
    • /
    • pp.780-785
    • /
    • 1998
  • In this paper, it is shown that the conventional methods for dealing with the singularity problem of a manipulator can be generalized as a local minimization problem with differently weighted objective functions. A new damping method proposed in this article automatically determines the damping amounts for singular values, which are inversely proportional to the magnitude of the singular values. Furthermore, this can be done without explicitly computing the singular values. The proposed method can be applied to all the manipulators with revolute joints.

  • PDF