Feedback Problem

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J. Stoustrup - One of the best experts on this subject based on the ideXlab platform.

  • The filtered H/sub /spl infin// state Feedback Problem
    Proceedings of 1995 American Control Conference - ACC'95, 1995
    Co-Authors: J. Stoustrup, H. Niemann
    Abstract:

    The filtered H/sub /spl infin// state Feedback Problem is considered in this paper. It turns out that it is possible to solve the filtered H/sub /spl infin// state Feedback Problem by using a dynamic controller, which only requires a solution of one algebraic Riccati equation. The controller is given in an explicit state space form. Moreover, the order of the controller is equal to the order of the weight function only for the H/sub /spl infin// state Feedback Problem.

  • Proportional H/sub /spl infin// control
    Proceedings of 32nd IEEE Conference on Decision and Control, 1993
    Co-Authors: H.h. Niemann, J. Stoustrup
    Abstract:

    The static H/sub /spl infin// output Feedback Problem will be considered in this paper for both the continuous time and the discrete time case. In this approach, there are no conditions on the direct feedthrough terms from the disturbance input signal and the control input signal to the output signal. It turns out that the H/sub /spl infin// control Problems are solvable by static output Feedback controllers if and only if there exists positive semidefinite solutions to two certain quadratic matrix inequalities.

Bingli Jiao - One of the best experts on this subject based on the ideXlab platform.

  • On the Minimum Differential Feedback for Time-Correlated MIMO Rayleigh Block-Fading Channels
    IEEE Transactions on Communications, 2012
    Co-Authors: Leiming Zhang, Lingyang Song, Bingli Jiao
    Abstract:

    In this paper, we investigate the differential channel state information (CSI) Feedback Problem for a general multiple input multiple output (MIMO) system over time-correlated Rayleigh block-fading channels. Specifically, we derive the closed-form minimum differential Feedback rate in the presence of channel estimation errors and quantization distortion. With the Feedback-channel capacity constraint, we further study the ergodic capacity in a periodic Feedback system in terms of the minimum differential Feedback rate and the Feedback interval. Through theoretical analysis, we find that there exists an optimal differential Feedback interval to achieve the maximum ergodic capacity. Analytical results are verified by simulations in a practical periodic differential Feedback system employing water-filling precoder and Lloyd's quantization algorithm.

  • On the Minimum Differential Feedback for Time-Correlated MIMO Rayleigh Block-Fading Channels
    2010 IEEE Global Telecommunications Conference GLOBECOM 2010, 2010
    Co-Authors: Leiming Zhang, Lingyang Song, Bingli Jiao
    Abstract:

    In this paper, we investigate the differential channel state information (CSI) Feedback Problem for a general multiple input multiple output(MIMO) system over time-correlated Rayleigh block-fading channels. Specifically, we first derive the analytical minimum differential Feedback rate in the presence of channel estimation errors and quantization distortion. With the Feedback-channel capacity constraint, in the periodic Feedback system, we further study the relationship between the ergodic capacity and the Feedback interval. We find that there exists an optimal Feedback interval to maximize the ergodic capacity. Analytical results are verified by simulations in a practical differential Feedback system employing Lloyd's quantization algorithm.

Youngjin Park - One of the best experts on this subject based on the ideXlab platform.

S. K. Spurgeon - One of the best experts on this subject based on the ideXlab platform.

  • On the Solvability of the Constrained Lyapunov Problem
    IEEE Transactions on Automatic Control, 2007
    Co-Authors: C. Edwards, S. K. Spurgeon
    Abstract:

    This paper considers system theoretic conditions for the solvability of the so-called constrained Lyapunov Problem for nonsquare systems. These Problems commonly appear in the control systems literature. Both a static output Feedback Problem and an observer Problem are considered. The basis for the work described in this paper is a new canonical form that simplifies the analysis and deals with the equality constraint in a simple way.

  • An LMI approach to the sliding mode static output Feedback Problem
    1999 European Control Conference (ECC), 1999
    Co-Authors: A. Akoachere, C. Edwards, S. K. Spurgeon
    Abstract:

    This paper describes a variable structure control design methodology for multi-input uncertain dynamic systems using only the plant output information. The class of systems to which this method applies is addressed. Static output Feedback is utilized in the design of the switching surface, while a novel LMI based optimization approach is employed in the construction of the control law. The efficacy of the algorithms is demonstrated on a non-trival design example; the regulation of the state trajectories of an unstable 8th-order helicopter model.

  • Output Feedback sliding mode design for linear uncertain systems
    IEE Proceedings - Control Theory and Applications, 1997
    Co-Authors: S. K. Spurgeon, C. Edwards
    Abstract:

    The paper considers the development of output Feedback sliding mode controllers for a class of uncertain linear systems. The presence of stable invariant zeros and matched uncertainty is incorporated in the design procedure. The sufficient conditions for developing static output Feedback sliding mode controllers are first reviewed. If the so-called ‘Kimura–Davison’ conditions are not satisfied, it is shown that it may not be possible to determine a static output Feedback sliding mode controller. In this case, dynamic output Feedback sliding mode control is necessary. It is shown that both the switching surface design Problem for the static case and the switching surface and compensator design for the dynamic case may be formulated as a static output Feedback Problem for particular system triples. A robust design procedure is used to solve this static output Feedback Problem to minimise the effects of any unmatched uncertainty which will affect the reduced order sliding motion in many practical systems. A controller is synthesised to tolerate matched model uncertainty. The measurements of robustness are described. A numerical example demonstrates the procedure.

Leiming Zhang - One of the best experts on this subject based on the ideXlab platform.

  • On the Minimum Differential Feedback for Time-Correlated MIMO Rayleigh Block-Fading Channels
    IEEE Transactions on Communications, 2012
    Co-Authors: Leiming Zhang, Lingyang Song, Bingli Jiao
    Abstract:

    In this paper, we investigate the differential channel state information (CSI) Feedback Problem for a general multiple input multiple output (MIMO) system over time-correlated Rayleigh block-fading channels. Specifically, we derive the closed-form minimum differential Feedback rate in the presence of channel estimation errors and quantization distortion. With the Feedback-channel capacity constraint, we further study the ergodic capacity in a periodic Feedback system in terms of the minimum differential Feedback rate and the Feedback interval. Through theoretical analysis, we find that there exists an optimal differential Feedback interval to achieve the maximum ergodic capacity. Analytical results are verified by simulations in a practical periodic differential Feedback system employing water-filling precoder and Lloyd's quantization algorithm.

  • On the Minimum Differential Feedback for Time-Correlated MIMO Rayleigh Block-Fading Channels
    2010 IEEE Global Telecommunications Conference GLOBECOM 2010, 2010
    Co-Authors: Leiming Zhang, Lingyang Song, Bingli Jiao
    Abstract:

    In this paper, we investigate the differential channel state information (CSI) Feedback Problem for a general multiple input multiple output(MIMO) system over time-correlated Rayleigh block-fading channels. Specifically, we first derive the analytical minimum differential Feedback rate in the presence of channel estimation errors and quantization distortion. With the Feedback-channel capacity constraint, in the periodic Feedback system, we further study the relationship between the ergodic capacity and the Feedback interval. We find that there exists an optimal Feedback interval to maximize the ergodic capacity. Analytical results are verified by simulations in a practical differential Feedback system employing Lloyd's quantization algorithm.