In this chapter, it is the objective to deal with the mixed H2/H∞ control problem over a finite horizon for a class of nonlinear Markovian jump systems with both stochastic nonlinearities and probabilistic sensor failures. The stochastic nonlinearities described by statistical means could cover several types of well‐studied nonlinearities, and the failure probability for each sensor is governed by an individual random variable satisfying a certain probability distribution over a given interval for each mode. The purpose of the addressed problem is to design a controller such that the closed‐loop system achieves the expected H2 performance requirements with a guaranteed H∞ disturbance attenuation level. The solvability of the addressed control problem is expressed as the feasibility of certain coupled matrix equations. The controller gain at each time instant can be obtained by solving the corresponding set of matrix equations.


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    Title :

    Mixed H2/H∞ Control with Markovian Jump Parameters and Probabilistic Sensor Failures: The Finite‐Horizon Case


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


    Publication date :

    2015-03-16


    Size :

    17 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English