• Title/Summary/Keyword: Linear output feedback

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Observer Based Output Feedback Control for Time-Delay Systems (시간지연 시스템의 관측기 기반의 출력 피드백 제어)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.48 no.3
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    • pp.48-52
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    • 2011
  • This paper presents the observer based output feedback control design for linear systems which have both input and output time delay. Sufficient conditions for existence of stabilizing output feedback controller are characterized by linear matrix inequalities. Since the condition of the proposed design depends on the value of time delay, it is less conservative than existing delay-independent approaches. Finally, an illustrative example is given in order to show the effectiveness of our design method.

Output Feedback Stabilization of Non-Minimum phase Nonlinear Systems (비최소위상 비선형 시스템의 출력궤환 안정화)

  • 조남훈
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.12
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    • pp.977-983
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    • 2003
  • An output feedback stabilizing controller far non-minimum phase nonlinear systems is presented. We first perform the standard input-output linearization of the system and then transform the zero dynamics into a special normal form in which the antistable part is not affected by the stable part and the antistable part is given in approximately linear form. Under the assumption that the nonlinear system satisfies the observability rank condition, we can design an observer f3r the extended system that is made of the augmentation of a chain of integrators. The proposed output feedback stabilizing controller can then be designed by combining the observer and the state feedback controller.

Direct Learning Control For Linear Feedback Systems

  • Ahn, Hyun-Sik;Park, Ki-Hong;Heo, Seung-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.96-100
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    • 2003
  • In this paper, a DLC method is proposed for linear feedback systems to improve the tracking performance when the task of the system is repetitive. DLC can generate the desired control input directly from the previously learned control inputs corresponding to other output trajectories. It is assumed that all the desired output functions considered in this paper have some relations called proportionality and it is shown by mathematical analysis that DLC can be utilized to generate additional control efforts for the perfect tracking. To show the validity and tracking performance of the proposed method, some simulations are performed for the tracking control of a linear system with a PI controller.

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Direct Learning Control for Linear Feedback Systems (선형피드백시스템에 대한 직접학습제어)

  • Ahn Hyun-sik
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.2
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    • pp.76-80
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    • 2005
  • In this paper, a Direct Learning Control (DLC) method is proposed for linear feedback systems to improve the tracking performance when the task of the control system is repetitive. DLC can generate the desired control input directly from the previously learned control inputs corresponding to other output trajectories. It is assumed that all the desired output functions given to the system have some relations called proportionality and it is shown by mathematical analysis that DLC can be utilized to genera additional control efforts for the perfect tracking. To show the validity and tracking performance of the proposed method, some simulations are performed for the tracking control of a linear system with a PI controller.

A Nonlinear Transformation Approach to Adaptive Output Feedback Control of Uncertain Nonlinear Systems

  • Ahn, Choon-Ki;Kim, Beom-Soo;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.48.1-48
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    • 2001
  • In this paper, we present a global adaptive output feedback control scheme for a class of uncertain nonlinear systems to which adaptive observer backstepping method may not be applicable directly. The allowed output feedback structure includes quadratic and multiplicative dependency of unmeasured states. Our novel design technique employs a change of coordinates and adaptive backstepping. With these proposed tools, we can remove linear and quadratic dependence on the unmeasured states in the state equation. Also, the multiplication of the two unmeasured states can be eliminated ...

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Robust Non-Fragile $H_{\infty}$ Output Feedback Control for Descriptor Systems with Parameter Uncertainties (변수 불확실성을 가지는 특이시스템의 강인 비약성 $H_{\infty}$ 출력궤환 제어)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.2
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    • pp.389-395
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    • 2007
  • In this paper, we consider the robust non-fragile $H_{\infty}$ output feedback controller design method for uncertain descriptor systems with feedback and observer gain variations. The existence condition of observer-based robust and non-fragile $H_{\infty}$ output feedback controller and the controller design method are Presented on the basis of linear matrix inequality approach. The proposed robust non-fragile $H_{\infty}$ output feedback controller guarantees asymptotic stability, non-fragility, $H_{\infty}$ norm bound within a prescribed level in spite of disturbance, parameter uncertainty, and feedback/observer gain variations.

Mixed $H_2/H_{\infty}$ Finite Memory Controls for Output Feedback Controls of Discrete-time State-Space Systems

  • Ahn, Choon-Ki;Han, Soo-Hee;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.529-534
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    • 2005
  • In this paper, a new type of output feedback control, called a $H_2/H_{\infty}$ fnite memory control (FMC), is proposed for deterministic state space systems. Constraints such as linearity, unbiasedness property, and finite memory structure with respect to an input and an output are required in advance to design $H_2/H_{\infty}$ FMC in addition to the performance criteria in both $H_2$ and $H_{\infty}$ sense. It is shown that $H_2$, $H_{\infty}$, and mixed $H_2/H_{\infty}$ FMC design problems can be converted into convex programming problems written in terms of linear matrix inequalities (LMIs) with some linear equality constraints. Through simulation study, it is illustrated that the proposed $H_2/H_{\infty}$ FMC is more robust against uncertainties and faster in convergence than the existing $H_2/H_{\infty}$ output feedback control schemes.

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A Novel Stabilizing Control for Neural Nonlinear Systems with Time Delays by State and Dynamic Output Feedback

  • Liu, Mei-Qin;Wang, Hui-Fang
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.24-34
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    • 2008
  • A novel neural network model, termed the standard neural network model (SNNM), similar to the nominal model in linear robust control theory, is suggested to facilitate the synthesis of controllers for delayed (or non-delayed) nonlinear systems composed of neural networks. The model is composed of a linear dynamic system and a bounded static delayed (or non-delayed) nonlinear operator. Based on the global asymptotic stability analysis of SNNMs, Static state-feedback controller and dynamic output feedback controller are designed for the SNNMs to stabilize the closed-loop systems, respectively. The control design equations are shown to be a set of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms to determine the control signals. Most neural-network-based nonlinear systems with time delays or without time delays can be transformed into the SNNMs for controller synthesis in a unified way. Two application examples are given where the SNNMs are employed to synthesize the feedback stabilizing controllers for an SISO nonlinear system modeled by the neural network, and for a chaotic neural network, respectively. Through these examples, it is demonstrated that the SNNM not only makes controller synthesis of neural-network-based systems much easier, but also provides a new approach to the synthesis of the controllers for the other type of nonlinear systems.

Static Output-Feedback-Based Robust Fault Tolerant Controller Design (정적 출력궤환 기반 강인 고장포용 제어기 설계)

  • Jee, Sung Chul;Moon, Ji Hyun;Lee, Ho Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.7
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    • pp.587-591
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    • 2013
  • This paper addresses the robust fault tolerant controller design problems of static output systems with disturbance. The fault is expressed by the abrupt chattering of system parameters. The design conditions are derived in terms of linear matrix inequalities and linear matrix equalities. An illustrative example is provided to verify performances of the proposed controller.

Design of Static Output Feedback Controllers for Rollover Prevention (차량 전복 방지를 위한 정적 출력 피드백 제어기 설계)

  • Yim, Seongjin;Oh, Dongho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.1
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    • pp.20-28
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    • 2014
  • This paper presents static output feedback LQ and $H_{\infty}$ controllers for rollover prevention. Linear quadratic static output feedback controllers have been proposed for rollover prevention in such a way to minimize the lateral acceleration and the roll angle. Rollover prevention capability can be enhanced if $H_{\infty}$ controller is designed. To avoid full-state measurement for feedback requirement or sensitiveness of an observer to nonlinear model error, static output feedback is adopted. To design static output feedback controllers, Kosut's method is adopted because it is simple to calculate. Differential braking and active anti-roll bar are adopted as actuators that generate yaw and roll moments, respectively. The proposed method is shown to be effective in preventing rollover through the simulations on nonlinear multi-body dynamic simulation software, CarSim.