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The Experts below are selected from a list of 237 Experts worldwide ranked by ideXlab platform

Ian Postlethwaite - One of the best experts on this subject based on the ideXlab platform.

  • Static output feedback stabilisation with H∞ performance for a class of plants
    Systems & Control Letters, 2001
    Co-Authors: Emmanuel Prempain, Ian Postlethwaite
    Abstract:

    In this paper, the problem of static output feedback control of a linear system is considered. The existence of a static output feedback control law is given in terms of the solvability of two coupled Lyapunov inequalities which result in a non-linear optimisation problem. However, using state-coordinate and congruence transformations and by imposing a block-diagonal structure on the Lyapunov matrix, we will see that the determination of a static output feedback gain reduces, for a specific class of plants, to finding the solution of a system of linear matrix inequalities. The class of plants considered is those which are minimum phase with a Full Row Rank Markov parameter. The method is extended to incorporate H∞ performance objectives. This results in a sub-optimal static H∞ control law found by non-iterative means. The simplicity of the method is demonstrated by a numerical example.

Guanghong Yang - One of the best experts on this subject based on the ideXlab platform.

  • robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties
    Automatica, 2013
    Co-Authors: Jiuxiang Dong, Guanghong Yang
    Abstract:

    This paper studies the static output feedback (SOF) control problem of continuous-time linear systems with polytopic uncertainties. Novel LMI conditions with a line search over a scalar variable for designing robust SOF controllers are proposed, where the uncertain output matrix of the considered system is allowed to be not of Full Row Rank. In particular, it is shown that the new method can give less or at least the same conservative results than those methods by inserting a matrix equality constraint between system output matrix and Lyapunov matrix. Furthermore, the result is extended to the case of H"~ control. Numerical examples are given to illustrate the effectiveness of the proposed method.

Kehu Yang - One of the best experts on this subject based on the ideXlab platform.

  • simo channel estimation using space time signal subspace projection and soft information
    IEEE Transactions on Signal Processing, 2012
    Co-Authors: Shu Cai, Tad Matsumoto, Kehu Yang
    Abstract:

    We consider the channel estimation of a time-slotted wireless communication system with a mobile user and a base station, where the base station employs an M-element (M >; 1) antenna array. The uplink single-input multiple-output (SIMO) channel is usually estimated by training sequence within each time slot. To improve the estimation performance, the channel estimate is often refined by projecting it to the corresponding spatial signal subspace. However, this projection will not work when the number of resolvable multipath rays is larger than that of the antenna array elements, which makes the channel matrix Full Row Rank. In this paper, we formulate the channel estimation under the space-time signal model for this Full-Row-Rank case, and propose a new method by space-time signal subspace projection using both training and unknown data sequences. To further improve the accuracy of the channel estimate, the soft information fed back from the decoder can be used. By involving this soft information, we propose another new channel estimation method. This method approximately follows the maximum likelihood (ML) criterion and is therefore referred to as the approximated ML channel estimation. Numerical results show that these methods can be performed separately or jointly to improve the performance of channel estimation by training sequences.

Emmanuel Prempain - One of the best experts on this subject based on the ideXlab platform.

  • Static output feedback stabilisation with H∞ performance for a class of plants
    Systems & Control Letters, 2001
    Co-Authors: Emmanuel Prempain, Ian Postlethwaite
    Abstract:

    In this paper, the problem of static output feedback control of a linear system is considered. The existence of a static output feedback control law is given in terms of the solvability of two coupled Lyapunov inequalities which result in a non-linear optimisation problem. However, using state-coordinate and congruence transformations and by imposing a block-diagonal structure on the Lyapunov matrix, we will see that the determination of a static output feedback gain reduces, for a specific class of plants, to finding the solution of a system of linear matrix inequalities. The class of plants considered is those which are minimum phase with a Full Row Rank Markov parameter. The method is extended to incorporate H∞ performance objectives. This results in a sub-optimal static H∞ control law found by non-iterative means. The simplicity of the method is demonstrated by a numerical example.

T. Alvarez - One of the best experts on this subject based on the ideXlab platform.

  • Robust $$H_{\infty }$$ H ∞ Control of Takagi–Sugeno Systems with Actuator S
    Journal of Control Automation and Electrical Systems, 2020
    Co-Authors: R. Chaibi, B. El Haiek, E. H. Tissir, A. Hmamed, T. Alvarez
    Abstract:

    The robust static output feedback control for continuous-time Takagi–Sugeno systems subject to actuator saturation is solved here, including $$H_{\infty }$$ H ∞ performance guarantees. Based on a polytopic model of the saturation, sufficient conditions are proposed for designing these controllers in terms of Linear Matrix Inequalities. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved easily without requiring iterative algorithms or equality constraints, moreover, the output matrix of the considered system does not require to be Full Row Rank. Finally, some examples are presented to show the validity of the proposed methodology.

  • Robust $$H_{\infty }$$H∞ Control of Takagi–Sugeno Systems with Actuator Saturation
    Journal of Control Automation and Electrical Systems, 2020
    Co-Authors: R. Chaibi, B. El Haiek, E. H. Tissir, A. Hmamed, T. Alvarez
    Abstract:

    The robust static output feedback control for continuous-time Takagi–Sugeno systems subject to actuator saturation is solved here, including $$H_{\infty }$$ H ∞ performance guarantees. Based on a polytopic model of the saturation, sufficient conditions are proposed for designing these controllers in terms of Linear Matrix Inequalities. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved easily without requiring iterative algorithms or equality constraints, moreover, the output matrix of the considered system does not require to be Full Row Rank. Finally, some examples are presented to show the validity of the proposed methodology.