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Robust disturbance attenuation for uncertain nonlinear networked control systems
Received:September 4,2009  Revised:September 4,2009
Keywords:Networked control system  Takagi-Sugeno fuzzy model  Robust disturbance attenuation
Fund Project:
Dan HUANG The Department of Electrical and Computer Engineering, The University of Auckland dan.huang@auckland.ac.nz 
Sing Kiong NGUANG The Department of Electrical and Computer Engineering, The University of Auckland  
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      This paper considers the problem of robust disturbance attenuation for a class of uncertain nonlinear networked control systems. Takagi-Sugeno fuzzy models are firstly employed to describe the nonlinear plant. Markov processes are used to model the random network-induced delays and data packet dropouts. The Lyapunov-Razumikhin method has been used to derive such a controller for this class of nonlinear systems such that it is stochastically stabilizable with a disturbance attenuation level. Sufficient conditions for the existence of such a controller are derived in terms of the solvability of bilinear matrix inequalities. An iterative algorithm is proposed to change this non-convex problem into quasi-convex optimization problems, which can be solved effectively by available mathematical tools. The effectiveness of the proposed design methodology is verified by a numerical example.
Dan HUANG and Sing Kiong NGUANG.Robust disturbance attenuation for uncertain nonlinear networked control systems[J].Journal of Control Theory and Applications,2010,8(1):40~51.
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