This chapter is concerned with the controller design problem for a class of discrete‐time uncertain nonlinear stochastic systems with variance constraints. The nonlinearities described by statistical means are quite general that include several well‐studied classes of nonlinearities as special cases. The parameter uncertainties are assumed to be norm‐bounded and enter into both the system and output matrices. A linear matrix inequality (LMI) approach is proposed to solve the addressed multi‐objective controller design problem where the exponential stability, H∞ performance requirement and individual variance constraints are achieved simultaneously for all admissible parameter uncertainties. Within such an LMI framework, two additional optimization problems are also discussed which demonstrate the flexibility of the proposed designing technique.


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    Title :

    Robust H∞ Control with Variance Constraints


    Contributors:
    Ma, Lifeng (author) / Wang, Zidong (author) / Bo, Yuming (author)


    Publication date :

    2015-03-16


    Size :

    26 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




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