Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H/sup ∞/ control theory, and linear matrix inequalities

1996 ◽  
Vol 4 (1) ◽  
pp. 1-13 ◽  
Author(s):  
K. Tanaka ◽  
T. Ikeda ◽  
H.O. Wang
Keyword(s):  
Nonlinear Systems ◽  
Fuzzy Control ◽  
Control Theory ◽  
Linear Matrix Inequalities ◽  
Robust Stabilization ◽  
Linear Matrix ◽  
Uncertain Nonlinear Systems ◽  
Matrix Inequalities

scholarly journals Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Guilei Chen ◽  
Zhenwei Zhang ◽  
Chao Li ◽  
Dianju Qiao ◽  
Bo Sun
Keyword(s):  
Linear Matrix Inequalities ◽  
Robust Stabilization ◽  
Distributed Delays ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Markovian Jump ◽  
Parameter Uncertainties ◽  
Delay Dependent ◽  
Jump Systems

This paper addresses the robust stabilization problem for a class of stochastic Markovian jump systems with distributed delays. The systems under consideration involve Brownian motion, Markov chains, distributed delays, and parameter uncertainties. By an appropriate Lyapunov–Krasovskii functional, the novel delay-dependent stabilization criterion for the stochastic Markovian jump systems is derived in terms of linear matrix inequalities. When given linear matrix inequalities are feasible, an explicit expression of the desired state feedback controller is given. The designed controller, based on the obtained criterion, ensures asymptotically stable in the mean square sense of the resulting closed-loop system. The convenience of the design is greatly enhanced due to the existence of an adjustable parameter in the controller. Finally, a numerical example is exploited to demonstrate the effectiveness of the developed theory.

Linear Matrix Inequalities in System and Control Theory

1994 ◽  
Author(s):  
Stephen Boyd ◽  
Laurent El Ghaoui ◽  
Eric Feron ◽  
Venkataramanan Balakrishnan
Keyword(s):  
Control Theory ◽  
Linear Matrix Inequalities ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
And Control
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