An LMI-based Approach for State Feedback Controller Design of Markovian Jump Nonlinear Systems

2007 ◽  
Author(s):  
Jiuxiang Dong ◽  
Guang-Hong Yang
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Markovian Jump ◽  
State Feedback Controller

scholarly journals Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yanbo Li ◽  
Peng Zhang ◽  
Yonggui Kao ◽  
Hamid Reza Karimi
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Transition Rates ◽  
Markovian Jump ◽  
Input Quantization ◽  
State Feedback Controller ◽  
Markovian Jump Linear Systems

This paper is concerned with the robust quantized state-feedback controller design problem for a class of continuous-time Markovian jump linear uncertain systems with general uncertain transition rates and input quantization. The uncertainties under consideration emerge in both system parameters and mode transition rates. This new uncertain model is more general than the existing ones and can be applicable to more practical situations because each transition rate can be completely unknown or only its estimate value is known. Based on linear matrix inequalities, the quantized state-feedback controller is formulated to ensure the closed-loop system is stable in mean square. Finally, a numerical example is presented to verify the validity of the developed theoretical results.

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