Title :
H∞ analysis for a class of Markov jump nonlinear systems
Author :
Abolmasoumi, Amirhossein ; Delshad, Saleh Sayyad ; Momeni, Hamid Reza
Author_Institution :
Electr. Eng. Dept., Tarbiat Modares Univ., Tehran, Iran
Abstract :
The problem of H-inf analysis for Markov jump nonlinear systems with Lipchitz type nonlinearity is considered. A sufficient condition for disturbance attenuation in terms of linear matrix inequalities is developed which ensures robust stochastic mean square stability. The design process assumes a prescribed level of disturbance attenuation and uses a mode based Lyapunov function. A numerical example is also provided to show the effectiveness of our approach.
Keywords :
H∞ control; Lyapunov methods; Markov processes; linear matrix inequalities; nonlinear systems; robust control; H-inf analysis; H∞ analysis; Lipchitz type nonlinearity; Lyapunov function; Markov jump nonlinear systems; design process; disturbance attenuation; linear matrix inequalities; robust stochastic mean square stability; Asymptotic stability; Attenuation; Markov processes; Nonlinear systems; Robust stability; Robustness; Stability analysis; Disturbance Attenuation; Linear Matrix Inequality; Lipchitz type nonlinearity; Markovian Jump Nonlinear System; Robust Stochastic Mean Square Stability;
Conference_Titel :
GCC Conference and Exhibition (GCC), 2011 IEEE
Conference_Location :
Dubai
Print_ISBN :
978-1-61284-118-2
DOI :
10.1109/IEEEGCC.2011.5752611
