• 제목/요약/키워드: Unmatched uncertainties

검색결과 13건 처리시간 0.033초

Variable structure control for matched and unmatched uncertainty with quadratic criterion

  • Rhee, Bond-Jae;Park, Ju-Hyun;Won, Sangchul
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
    • /
    • pp.458-463
    • /
    • 1997
  • In this paper, we propose a variable structure control approach for the system with matched and unmatched uncertainty. By using time-varying sliding mode, the reaching mode is removed, and the design methodology represents a realistic design approach with quadratic criterion for systems incorporating both matched and unmatched uncertainties. The criterion contains states and linear part of input for all time. The practical application of the control strategy is presented in the design of a stability augmentation system for an aircraft is presented.

  • PDF

부정합 시스템 행렬 불확실성을 갖는 시스템을 위한 정적 출력 궤환 적분 가변 구조 제어기 (A Static Output Feedback Integral Variable Structure Controller for Uncertain Systems with Unmatched System Matrix Uncertainty)

  • 이정훈
    • 전기학회논문지
    • /
    • 제59권2호
    • /
    • pp.411-416
    • /
    • 2010
  • In this paper, an integral variable structure static output feedback controller with an integral-augmented sliding surface is designed for the improved robust control of a uncertain system under unmatched system uncertainty and matched input matrix uncertainty and disturbance satisfying some conditions. To effectively remove the reaching phase problems, an output dependent integral augmented sliding surface is proposed. Its equivalent control and ideal sliding mode dynamics are obtained. The previous some limitations is overcome in this systematic design. A stabilizing control with the closed loop exponential stability is designed for all unmatched system matrix uncertainties and proved together with the existence condition of the sliding mode on S=0. To show the usefulness of the algorithm, a design example and computer simulations are presented.

부정합 시스템 행렬 불확실성을 갖는 시스템을 위한 동적 출력 궤환 가변 구조 제어기 (A Dynamic Output Feedback Variable Structure Controller for Uncertain Systems with Unmatched System Matrix Uncertainty)

  • 이정훈
    • 전기학회논문지
    • /
    • 제59권11호
    • /
    • pp.2066-2072
    • /
    • 2010
  • In this paper, a variable structure dynamic output feedback controller with an transformed sliding surface is designed for the improved robust control of a uncertain system under unmatched system uncertainty, matched input matrix uncertainty, and disturbance satisfying some conditions. This paper is extended from the results of the static output feedback VSS in [9]. To effectively remove the reaching phase problems, an initial condition of the dynamic output is determined. The previous some limitations on the dynamic output feedback variable structure controller is overcome in this systematic design. A stabilizing control is designed to generate the sliding mode on the predetermined sliding surface S=0 and as a results the closed loop exponential stability is obtained and proved together with the existence condition of the sliding mode on S=0 for all unmatched system matrix uncertainties. To show the usefulness of the algorithm, a design example and computer simulations are presented.

비정합 불확실성을 갖는 시스템을 위한 적분 슬라이딩 모드 제어기 설계 (Integral Sliding Mode Controller Design for Unmatched Uncertain Systems)

  • 최한호
    • 제어로봇시스템학회논문지
    • /
    • 제17권7호
    • /
    • pp.625-628
    • /
    • 2011
  • This paper presents an LMI-based method to design an integral sliding mode controller for a class of uncertain systems with unmatched uncertainties. The uncertain system under consideration may have unmatched parameter uncertainties in the state matrix as well as in the input matrix. Using LMIs an existence condition of a sliding surface is derived. And a switching feedback control law is given. Finally, numerical examples are given to show that the proposed method can be better than the existing results for some cases.

큰 상태변수 시간 지연 부정합조건 불확실성 시스템을 위한 강인한 슬라이딩 모드 제어기 (A Robust Sliding Mode Controller for Unmatched Uncertain Severe Sate Time-Delay Systems)

  • 이정훈
    • 전기학회논문지
    • /
    • 제59권10호
    • /
    • pp.1894-1899
    • /
    • 2010
  • This note is concerned with a robust sliding mode control(SMC) for a class of unmatched uncertain system with severe commensurate state time delay. The suggested method is extended to the control of severe state time delay systems with unmatched uncertainties except the matched input matrix uncertainty. A transformed sliding surface is proposed and a stabilizing control input is suggested. The closed loop stability together with the existence condition of the sliding mode on the proposed sliding surface is investigated through one Lemma and two Theorems by using the Lyapunov direct method with the concept of the control Lyapunov function instead of complex Lyapunov-Kravoskii functionals. Through an illustrative example and simulation study, the usefulness of the main results is verified.

입력정합조건을 만족하지 않는 시스템에 대한 강인 제어 (Robust Control for the System with Unmatched Uncertainty)

  • 전보경;장평훈;박주이
    • 제어로봇시스템학회논문지
    • /
    • 제7권2호
    • /
    • pp.95-101
    • /
    • 2001
  • Most robust control schemes for stabilizing the systems with uncertainties require that the systems are satisfied with matching conditions. This paper is proposed to robust control using the time delay estimation for the nonlinear single input systems not satisfying the matching conditions. Synthetic input concept is used to design the control law. The unmatched uncertainties considered in this paper are more general than other studies and they need not a special form or information about their bound. We applied the proposed method to a single pendulum with a motor system.

  • PDF

최적의 Bang-Bang 입력을 이용한 볼-빔 시스템의 강인한 추적 제어 (Robust Tracking Control of a Ball and Beam System using Optimal Bang-Bang Input)

  • 이경태;최호림
    • 전기전자학회논문지
    • /
    • 제22권1호
    • /
    • pp.110-120
    • /
    • 2018
  • 본 논문에서는, 볼-빔 시스템에 입-출력 궤환 선형화 기법을 적용하여 추종 궤적 r(t)를 추종하도록 제어기를 설계하였다. 설계한 제어기로 시뮬레이션 및 실험에 적용한 결과, 실험에서 오차가 크게 발생하였다. 이러한 이유는 외란 및 입력정합조건을 만족하지 못해 발생한 것으로 판단되어 볼-빔 시스템의 기존 모델링에서 적절한 외란을 추가하여, 시뮬레이션을 통해 실험 결과와 비슷한 유효한 모델링임을 입증하였다. 그러나, 여전히 저하된 성능으로 인해 bang-bang 제어기를 추가로 적용하였다. 결과적으로, 시스템의 불확실성에 대해 강인하고 향상된 성능을 시뮬레이션 및 실험결과를 통해 검증하였다.

정합조건을 만족하지 않는 불확정 비선형 시스템의 강인 안정화 (Robust stabilization of nonlinear uncertain systems without matching conditions)

  • 주진만;최윤호;박진배
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
    • /
    • pp.159-162
    • /
    • 1997
  • This paper describes robust stabilization of nonlinear single-input uncertain systems without matching conditions. We consider nonlinear systems with a vector of unknown constant parameters perturbed about a known value. The approach utilizes the generalized controller canonical form to lump the unmatched uncertainties recursively into the matched ones. This can be achieved via nonlinear coordinate transformations which depend not only on the states of the nonlinear system but also on the control input. Then the dynamic robust control law is derived and the stability result is also presented.

  • PDF

비정합조건 하의 슬라이딩 모드 관측기를 이용한 강인 제어 (Robust control using the sliding mode observer in the presence of unmatched uncertainties)

  • 한상철;박인규;함운철
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
    • /
    • pp.334-334
    • /
    • 2000
  • In this paper, sliding mode observer design principles based on the equivalent control approach are discussed for the systems which may not satisfy the matching conditions. We propose a new approach for designing a sliding observer and the proof of the stability of the state reconstruction error system for time-invariant systems using the Lyapunov method. The reaching time to the sliding surface, the sliding dynamics of the system, the stability of the reconstruction error system via Lyapunov method, sufficient conditions for the existence of the sliding mode are studied.

  • PDF

Fuzzy Sliding Mode Observer for Nonlinear System

  • Seo, Sam-Jun;Kim, Dong-Sik;Seo, Ho-Joon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2001년도 ICCAS
    • /
    • pp.42.2-42
    • /
    • 2001
  • This paper deals with a fuzzy sliding mode observer for nonlinear systems. A nonlinear system is approximated by a multiple model Takagi Sugeno fuzzy system and then transformed into a canonical form for which a nonlinear observer is constructed. This study presents a type of fuzzy sliding mode observer that deals with matched and unmatched uncertainties in the plant dynamics very effectively. The proposed method was validated by the example of a inverted pendulum.

  • PDF