Finite-time H∞ static output control of Markov jump systems with an auxiliary approach

Finite-time H∞ static output control of Markov jump systems with an auxiliary approach

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Article ID: iaor201530244
Volume: 273
Start Page Number: 553
End Page Number: 561
Publication Date: Jan 2016
Journal: Applied Mathematics and Computation
Authors: , , ,
Keywords: markov processes, stochastic processes
Abstract:

This paper considers the finite‐time H equ1 static output feedback control of Markov jump systems. With the help of introducing two new variables related to the original system state and output, sufficient conditions for the closed‐loop system to be stochastic finite‐time boundedness with the prescribed H equ2 performance level are proposed in terms of linear matrix inequalities (LMIs). Meanwhile, the static output control gains are solved explicitly by the proposed conditions. It is shown that the proposed method is less or at least the same conservative than the existing result. Lastly, a numerical example is given to demonstrate the effectiveness of the proposed method.

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