• 제목/요약/키워드: control-Lyapunov function

검색결과 374건 처리시간 0.027초

Robust Model Predictive Control Using Polytopic Description of Input Constraints

  • Lee, Sang-Moon
    • Journal of Electrical Engineering and Technology
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    • 제4권4호
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    • pp.566-569
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    • 2009
  • In this paper, we propose a less conservative a linear matrix inequality (LMI) condition for the constrained robust model predictive control of systems with input constraints and polytopic uncertainty. Systems with input constraints are represented as perturbed systems with sector bounded conditions. For the infinite horizon control, closed-loop stability conditions are obtained by using a parameter dependent Lyapunov function. The effectiveness of the proposed method is shown by an example.

Robust Adaptive Controller Free from Input Singularity for Nonlinear Systems Using Universal Function Approximators

  • Park, Jang-Hyun;Yoong, Pil-Sang;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.95.4-95
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    • 2001
  • In this paper, we proposed and analyze an robust adaptive control scheme for uncertain nonlinear systems using Universal function approximators. The proposed scheme completely overcomes the singularity problem which occurs in the indirect adaptive feedback linearizing control. No projection in the estimated parameters and no switching in the control input are needed. The stability of the closed-loop systems is guaranteed in the Lyapunov standpoint.

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환경의 강성 경계를 이용한 불확실 로봇 시스템의 개선된 견실 하이브리드 제어 (An improved robust hybrid control for uncertain robot manipulators using the stiffness bound of environments)

  • 권택준;한명철;하인철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.259-262
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    • 2001
  • An improved robust hybrid control law is proposed. This law used the separated bounding function and the stiffness bound. It satisfied the performance though we don't know precise information of contact environments. It guarantees the practical stability in sense of Lyapunov. Simulation was performed to validate this law using a four-axis SCARA type robot manipulator.

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불확실 로봇이 개선된 견실 하이브리드 제어 (An improved rubust hybrid control for uncertain robot manipulators)

  • 김재홍;한명철;하인철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 추계학술대회 논문집
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    • pp.161-164
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    • 2000
  • An improved robust hybrid control law is proposed This law uses the separated bounding function: so uncertainties of each axis does not affect the others. Also, this law uses the separated $\varepsilon$, so we can take different $\varepsilon$ for each axis This law guarantees the practical stability in sense of Lyapunov. Simulation was performed to validate this law using a four-axis SCARA type robot manipulator.

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Boundary Control of an Axially Moving Belt System in a Thin-Metal Production Line

  • Hong, Keum-Shik;Kim, Chang-Won;Hong, Kyung-Tae
    • International Journal of Control, Automation, and Systems
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    • 제2권1호
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    • pp.55-67
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    • 2004
  • In this paper, an active vibration control of a translating steel strip in a zinc galvanizing line is investigated. The control objectives in the galvanizing line are to improve the uniformity of the zinc deposit on the strip surfaces and to reduce the zinc consumption. The translating steel strip is modeled as a moving belt equation by using Hamilton’s principle for systems with moving mass. The total mechanical energy of the strip is considered to be a Lyapunov function candidate. A nonlinear boundary control law that assures the exponential stability of the closed loop system is derived. The existence of a closed-loop solution is shown by proving that the closed-loop dynamics is dissipative. Simulation results are provided.

반-연속 슬라이딩 모드 제어기의 설계 및 적용(자기부상 시스템의 제어) (Design and Application of the Semi-Continuous Sliding Mode Control(Control of Electromagnetic Suspension Systems))

  • 이규준;김상환;김종식
    • 한국정밀공학회지
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    • 제19권8호
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    • pp.38-46
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    • 2002
  • A new semi-continuous sliding mode control is proposed for electromagnetic suspension systems. The control input is derived from the reaching law and the Lyapunov stability criteria, which is composed of continuous terms and low switching term. It has a low switching gain and chattering fee characteristics. It is shown by the computer simulation that the proposed control has good tracking performance and robustness compared with the classical sliding mode control.

Lyapunov 함수를 적용한 서보 시스템의 퍼지제어에 관한 연구 (Fuzzy Control of Servo System with Lyapunov Function)

  • 이오걸;송호신;이준탁;우정인
    • 한국조명전기설비학회지:조명전기설비
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    • 제7권3호
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    • pp.41-48
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    • 1993
  • 본 논문에서는 신속하고 정확한 동특성 응답이 요구되는 직류 서보 전동기의 위치제어용 퍼지제어기의 설계 문제를 다루었다. 제안된 퍼지제어기는 PC 80386 마이크로 컴퓨터에 의한 Lyapnov 함수 연산부와 퍼지제어 루틴부로 구성되었다. 직류 서보 시스템에 적용시킨 결과, 종래의 P 및 PID 제어기등에 비해 도달시간과 오버슈트, 외란특성등의 제어 성능이 크게 향상되었다.

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비구조적인 불확정성을 갖는 선형시스템의 강인 안정성 (Robust stability of linear system with unstructured uncertainty)

  • 김진훈;변증남
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.52-54
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    • 1991
  • In this paper, the robust stability, and the quadratic performance of linear uncertain systems are studied. A quadratic Lyapunov function candidate with time-varying matrix is derived to provide robust stability bounds. Also upper bounds of a quadratic performance is given under the assumption that the uncertain system is stable. Both the robust stability bounds and the upper bounds of a quadratic performance are obtained as solutions of a class of modified Lyapunov equations.

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계수조건부 LMI를 이용한 다목적 제어기 설계 (Multi-Objective Controller Design using a Rank-Constrained Linear Matrix Inequality Method)

  • 김석주;김종문;천종민;권순만
    • 제어로봇시스템학회논문지
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    • 제15권1호
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    • pp.67-71
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    • 2009
  • This paper presents a rank-constrained linear matrix inequality (LMI) approach to the design of a multi-objective controller such as $H_2/H_{\infty}$ control. Multi-objective control is formulated as an LMI optimization problem with a nonconvex rank condition, which is imposed on the controller gain matirx not Lyapunov matrices. With this rank-constrained formulation, we can expect to reduce conservatism because we can use separate Lyapunov matrices for different control objectives. An iterative penalty method is applied to solve this rank-constrained LMI optimization problem. Numerical experiments are performed to illustrate the proposed method.

불확실한 이동 로봇에 대한 RBFN 기반 적응 추종 제어기의 설계 (Design of an RBFN-based Adaptive Tracking Controller for an Uncertain Mobile Robot)

  • 신진호;백운보
    • 제어로봇시스템학회논문지
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    • 제20권12호
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    • pp.1238-1245
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    • 2014
  • This paper proposes an RBFN-based adaptive tracking controller for an electrically driven mobile robot with parametric uncertainties and external disturbances. A mobile robot model considered in this paper includes all models of the robot body and actuators with uncertain kinematic and dynamic parameters, and uncertain frictions and external disturbances. The proposed controller consists of an RBFN(Radial Basis Function Network) and a robust adaptive controller. The presented RBFN is used to approximate unknown nonlinear robot dynamic functions. The proposed controller is adjusted by the adaptation laws obtained through the Lyapunov stability analysis. The proposed control scheme does not a priori need the accurate knowledge of all parameters in the robot kinematics, robot dynamics and actuator dynamics. Also, nominal parameter values are not required in the controller. The global stability of the closed-loop robot control system is guaranteed using the Lyapunov stability theory. Simulation results show the validity and robustness of the proposed control scheme.