• Title/Summary/Keyword: Asymptotic Output Tracking

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GLOBAL ASYMPTOTIC OUTPUT TRACKING FOR A CLASS OF NONLINEAR SYSTEMS

  • Alimhan, Keylan;Inaba, Hiroshi
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.557-560
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    • 2005
  • This paper considers a global asymptotic output tracking problem with a prescribed constant reference signal for a class of single-input and single output-output nonlinear systems. It is shown that under some mild conditions on such a system there is a smooth output feedback achieving global asymptotic output tracking and such a smooth output controller is explicitly constructed by a new design method proposed. The usefulness of our result is illustrated by a numerical example.

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Asymptotic Output Tracking of Non-minimum Phase Nonlinear Systems through Learning Based Inversion (학습제어를 이용한 비최소 위상 비선형 시스템의 점근적 추종)

  • Kim, Nam Guk
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.21 no.8
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    • pp.32-42
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    • 2022
  • Asymptotic tracking of a non-minimum phase nonlinear system has been a popular topic in control theory and application. In this paper, we propose a new control scheme to achieve asymptotic output tracking in anon-minimum phase nonlinear system for periodic trajectories through an iterative learning control with the stable inversion. The proposed design method is robust to parameter uncertainties and periodic external disturbances since it is based on iterative learning. The performance of the proposed algorithm was demonstrated through the simulation results using a typical non-minimum nonlinear system of an inverted pendulum on a cart.

A regularity condition for asymptotic tracking in discrete-time nonlinear systems

  • Song, Yongkyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.138-143
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    • 1993
  • A well-defined relative degree, which is one of the basic assumptions in adaptive control or nonlinear synthesis problems, is addressed. It is shown that this is essentially a necessary condition for asymptotic tracking in discrete-time nonlinear systems. To show this, tracking problems are defined, and a local linear input-output behavior of a discrete-time system is introduced in relation to a well-defined relative degree. It is then shown that if a plant is invertible and accessible from the origin and a compensator solves the local asymptotic tracking problem, then the plant necessarily has a well-defined relative degree at the origin.

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Output Tracking Controller Design of Discrete-Time TS Fuzzy Systems (이산시간 TS 퍼지 시스템의 추종 제어기 설계)

  • 이호재;주영훈;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.191-194
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    • 2000
  • In this paper, an output tracking control technique of discrete-time Takagi-Sugeno (TS) fuzzy systems is developed. The TS fuzzy system is represented as an uncertain multiple linear system. The tracking problem of TS fuzzy system is converted into the stabilization problem of a uncertain multiple linear system. A sufficient condition for asymptotic tracking is obtained in terms of linear matrix inequalities (LMI). A design example is illustrated to show the effectiveness of the proposed method.

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Application of nonlinear control via output redefinition to missile autopilot (출력재정의를 통한 비선형제어 기법의 미사일 오토파일롯 응용)

  • 류진훈;탁민제
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1496-1499
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    • 1996
  • A nonlinear tracking control technique developed for the control of nonlinear systems has been applied to the autopilot design of missile system. The difficulties in the application of inversion based control methods such as input-output feedback linearization and sliding mode control due to nonminimum phase characteristics are discussed. To avoid the stability problem associated with unstable zero dynamics, the input-output feedback linearization is applied with output-redefinition method to normal acceleration control. The output-redefinition method gives an indirect way to apply the nonlinear controls to nonminimum phase plants by redefining the plant output such that the tracking control of the modified output ensures the asymptotic tracking of the original output. The numerical simulation shows satisfactory results both for nominal and for slightly perturbed missile systems adopting the sliding mode control technique. However, the robustness problem in this method is briefly investigated and verified with the simulation.

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Robust Output-Tracking Control of Uncertain Takagi-Sugeno Fuzzy Systems

  • 이호재;박진배;정근호;주영훈
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.315-318
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    • 2003
  • A systematic output-tracking control design technique for robust control of Takagi-Sugeno (T-S) fuzzy systems with norm-bounded uncertainties is developed. The uncertain T-S fuzzy system is first represented as a set of uncertain local linear systems. The tracking problem is then converted into the stabilization problem for a set of uncertain local linear systems thereby leading to a more feasible controller design procedure. A sufficient condition for robust asymptotic output tracking is derived in terms of a set of linear matrix inequalities (LMIs). A stability condition on the traversing time-instances is also established. The output tracking control simulation for a flexible-joint robot-arm model is demonstrated, to convincingly show the effectiveness of the proposed system modeling and controller design method.

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Adaptive Tracking, Disturbance Rejection and Power System Stabilizer (Adaptive Tracking and Disturbance Rejection에 의한 전력계통안정화장치)

  • Lee, Sang-Seung
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.84-86
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    • 2005
  • Adaptive tracking, disturbance rejection and power system stabilizer. First, this paper deals with power system stabilization problem using asymptotic tracking of arbitrary smooth bounded reference output signals, with simultaneous rejection of disturbances generated by an unknown linear exosystem. Second, this paper presents a power system stabilizer(PSS) using nonlinear adaptive observer backstepping controller.

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Fuzzy Output-Tracking Control for Uncertain Nonlinear Systems (불확실 비선형 시스템을 위한 퍼지 출력 추종 제어)

  • Lee, Ho-Jae;Joom, Young-Hoo;Park, Jin-Ba
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.2
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    • pp.185-190
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    • 2005
  • A systematic output tracking control design technique for robust control of Takagi-Sugeno (T-S) fuzzy systems with norm bounded uncertainties is developed. The uncertain T-S fuzzy system is first represented as a set of uncertain local linear systems. The tracking problem is then converted into the stabilization problem for a set of uncertain local linear systems thereby leading to a more feasible controller design procedure. A sufficient condition for robust asymptotic output tracking is derived in terms of a set of linear matrix inequalities. A stability condition on the traversing time instances is also established. The output tracking control simulation for a flexible-joint robot-arm model is demonstrated, to convincingly show the effectiveness of the proposed system modeling and controller design.

A modified adaptive control method for improving transient performance (적응 제어 시스템의 과도상태 성능 개선을 위한 제어기 설계)

  • Seo, Won-Gi;Lee, Jin-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.2
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    • pp.124-131
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    • 1997
  • This paper presents a modified adaptive control scheme that improves the transient performance of the overall system while maintaining the asymptotic convergence of the output error. The proposed control scheme is characterized as the added outer dynamic feedback loop on the conventional adaptive control scheme. This control scheme enables various robust control methods that were developed for standard model reference adaptive controllers to be applied to the proposed controller. In contrast with the modified adaptive controllers that use augmented errors to provide additional dynamic feedback, the proposed controller uses tracking error directly, thereby reducing the tracking error significantly in the transient state and making the error insensitive to noise.

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Design of Robust Feedback Controller for Turbo let Engine : Time Domain Approach (터보 젯 엔진을 위한 강인성 궤환 제어기의 설계 : 시간영역 해석)

  • 손영창;김승우;지원호
    • Journal of the Korean Society of Propulsion Engineers
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    • v.2 no.2
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    • pp.38-46
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    • 1998
  • A theoretical and an empirical application of the speed control of a single-shaft turbo-jet engine was done using an observer for Linear Quadratic Gausian(LQG) that is one of the robust control fields. Based on a general controller design with state feedback, a controller with output feedback was designed to find out a sufficient condition in finding an Asymptotic Stability After defining of the total system through the modeling of a real turbo-jet engine, a Tracking Control was carried out. Furthermore, a saturation of the control input was theoretically considered in the output feedback controller to simulate more similar real condition.

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