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Admissible Control

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Xin-zhuang Dong – One of the best experts on this subject based on the ideXlab platform.

  • Output Feedback Admissible Control for Singular Systems: Delta Operator (Discretised) Approach
    East Asian Journal on Applied Mathematics, 2017
    Co-Authors: Xin-zhuang Dong, Mingqing Xiao

    Abstract:

    AbstractSingular systems simultaneously capture the dynamics and algebraic constraints in many practical applications. Output feedback Admissible Control for singular systems through a delta operator method is considered in this article. Two novel admissibility conditions, derived for the singular delta operator system (SDOS) from a singular continuous system through sampling, can not only produce unified admissibility for both continuous and discrete singular systems but also practical procedures. To solve the problem of output feedback Admissible Control for the SDOS, an existence condition and design procedure is given for the determination of a physically realisable observer for the state estimation, and then a suitable state-feedback-like Admissible Controller design based on the observer is developed. All of the conditions presented are necessary and sufficient, involving strict linear matrix inequalities (LMI) with feasible solutions obtained with low computational costs. Numerical examples illustrate our approach.

  • d Admissible Control of singular delta operator systems
    International Congress on Image and Signal Processing, 2016
    Co-Authors: Guopeng Zhao, Xin-zhuang Dong, Yujiao Sun

    Abstract:

    We mainly research the method of designing the D-Admissible Controller for singular delta operator systems. In order to ensure that the generalized Delta operator system is D-Admissible, we design a state feedback Controller. According to the definition of the generalized discrete system and the generalized Delta operator system, the relationship between them is analyzed. And the necessary and sufficient conditions for the D-admissibility of the singular Delta operator system are derived. Secondly, on account of the condition, the method of solving this D-Admissible Controller is to use linear matrix inequalities (LMI). Finally, in order to verify the effectiveness of the method, we give some numerical examples. Thus, the design method of this paper is feasible, and the D-Admissible Controller is reasonable and effective.

  • CISP-BMEI – D-Admissible Control of singular delta operator systems
    2016 9th International Congress on Image and Signal Processing BioMedical Engineering and Informatics (CISP-BMEI), 2016
    Co-Authors: Guopeng Zhao, Xin-zhuang Dong, Yujiao Sun

    Abstract:

    We mainly research the method of designing the D-Admissible Controller for singular delta operator systems. In order to ensure that the generalized Delta operator system is D-Admissible, we design a state feedback Controller. According to the definition of the generalized discrete system and the generalized Delta operator system, the relationship between them is analyzed. And the necessary and sufficient conditions for the D-admissibility of the singular Delta operator system are derived. Secondly, on account of the condition, the method of solving this D-Admissible Controller is to use linear matrix inequalities (LMI). Finally, in order to verify the effectiveness of the method, we give some numerical examples. Thus, the design method of this paper is feasible, and the D-Admissible Controller is reasonable and effective.

Yushun Wang – One of the best experts on this subject based on the ideXlab platform.

  • Observer-based Admissible Control for singular delta operator systems
    2014 14th International Conference on Control Automation and Systems (ICCAS 2014), 2014
    Co-Authors: Xin-zhuang Dong, Mingqing Xiao, Yushun Wang

    Abstract:

    This paper studies the problem of designing an observer-based Admissible Controller for singular delta operator systems. Sufficient conditions are provided for the existence of an asymptotical and physically realizable observer. Then an observer-based Admissible Controller is obtained in terms of strict linear matrix inequalities. The corresponding gain matrices appeared in our proposed approach can be constructed through the feasible solutions of a set of linear matrix inequalities. Some numerical examples are presented to demonstrate the theoretical outcomes of the paper.

  • ICARCV – H ∞ Control of singular systems via delta operator approach
    2014 13th International Conference on Control Automation Robotics & Vision (ICARCV), 2014
    Co-Authors: Xin-zhuang Dong, Mingqing Xiao, Yushun Wang

    Abstract:

    This paper investigates the problem of state feedback H ∞ Control for singular systems through delta operator approach. Firstly, a bounded real lemma corresponding to a singular continuous system under the framework of the delta operator model is obtained. Then, the existence condition and explicit expression of a desirable H ∞ Controller for the singular delta operator system are presented. As special cases, the results of Admissible Control for the singular delta operator system and H ∞ Control as well as Admissible Control for the singular continuous system are also derived. All required conditions in this paper are characterized in the form of strict linear matrix inequalities whose feasible solutions can be obtained easily and directly. Finally, some numerical examples are provided to illustrate the effectiveness of the obtained theoretical results in the paper.

Mingqing Xiao – One of the best experts on this subject based on the ideXlab platform.

  • Output Feedback Admissible Control for Singular Systems: Delta Operator (Discretised) Approach
    East Asian Journal on Applied Mathematics, 2017
    Co-Authors: Xin-zhuang Dong, Mingqing Xiao

    Abstract:

    AbstractSingular systems simultaneously capture the dynamics and algebraic constraints in many practical applications. Output feedback Admissible Control for singular systems through a delta operator method is considered in this article. Two novel admissibility conditions, derived for the singular delta operator system (SDOS) from a singular continuous system through sampling, can not only produce unified admissibility for both continuous and discrete singular systems but also practical procedures. To solve the problem of output feedback Admissible Control for the SDOS, an existence condition and design procedure is given for the determination of a physically realisable observer for the state estimation, and then a suitable state-feedback-like Admissible Controller design based on the observer is developed. All of the conditions presented are necessary and sufficient, involving strict linear matrix inequalities (LMI) with feasible solutions obtained with low computational costs. Numerical examples illustrate our approach.

  • Admissible Control of Linear Singular Delta Operator Systems
    Circuits Systems and Signal Processing, 2014
    Co-Authors: Xin-zhuang Dong, Mingqing Xiao

    Abstract:

    In this paper, we study the problem of state feedback Admissible Control for the linear singular delta operator systems that result from linear singular continuous systems. By introducing the concept of delta operator, for a given linear singular continuous system, we establish its corresponding delta operator model and this discrete model converges to its continuous counterpart as the sampling period decreases. Sufficient conditions for desirable Controllers in terms of matrix inequalities and linear matrix inequalities are given, and the explicit expressions of the Controllers are derived. Some examples as well as numerical simulations are provided to demonstrate the effectiveness of the proposed approaches.

  • Observer-based Admissible Control for singular delta operator systems
    2014 14th International Conference on Control Automation and Systems (ICCAS 2014), 2014
    Co-Authors: Xin-zhuang Dong, Mingqing Xiao, Yushun Wang

    Abstract:

    This paper studies the problem of designing an observer-based Admissible Controller for singular delta operator systems. Sufficient conditions are provided for the existence of an asymptotical and physically realizable observer. Then an observer-based Admissible Controller is obtained in terms of strict linear matrix inequalities. The corresponding gain matrices appeared in our proposed approach can be constructed through the feasible solutions of a set of linear matrix inequalities. Some numerical examples are presented to demonstrate the theoretical outcomes of the paper.