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    Output Feedback Stabilization for MIMO Semi-linear Stochastic Systems with Transient Optimisation

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    zhang_et_al_2019.pdf (831.9Kb)
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    Publication date
    2020-02
    Author
    Zhang, Qichun
    Hu, L.
    Gow, J.
    Keyword
    Block backstepping
    Multi-input-multi-output
    MIMO
    Stochastic systems
    Mutual information
    Output feedback stabilisation
    Probabilistic decoupling
    Randomness attenuation
    Rights
    © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
    Peer-Reviewed
    Yes
    
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    Abstract
    This paper investigates the stabilisation problem and consider transient optimisation for a class of the multi-input-multi-output (MIMO) semi-linear stochastic systems. A control algorithm is presented via an m-block backstepping controller design where the closed-loop system has been stabilized in a probabilistic sense and the transient performance is optimisable by optimised by searching the design parameters under the given criterion. In particular, the transient randomness and the probabilistic decoupling will be investigated as case studies. Note that the presented control algorithm can be potentially extended as a framework based on the various performance criteria. To evaluate the effectiveness of this proposed control framework, a numerical example is given with simulation results. In summary, the key contributions of this paper are stated as follows: 1) one block backstepping-based output feedback control design is developed to stabilize the dynamic MIMO semi-linear stochastic systems using a linear estimator; 2) the randomness and probabilistic couplings of the system outputs have been minimized based on the optimisation of the design parameters of the controller; 3) a control framework with transient performance enhancement of multi-variable semi-linear stochastic systems has been discussed.
    URI
    http://hdl.handle.net/10454/17335
    Version
    Accepted manuscript
    Citation
    Zhang Q, Hu L and Gow J (2020) Output Feedback Stabilization for MIMO Semi-linear Stochastic Systems with Transient Optimisation. International Journal of Automation and Computing. Special Issue on Improving Productivity Through Automation and Computing. 17: 83-95.
    Link to publisher’s version
    https://doi.org/10.1007/s11633-019-1193-8
    Type
    Article
    Collections
    Engineering and Informatics Publications

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