scholarly journals State feedback controller design for singular positive Markovian jump systems with partly known transition rates

2015 ◽  
Vol 46 ◽  
pp. 111-116 ◽  
Author(s):  
Wenhai Qi ◽  
Xianwen Gao
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Markovian Jump Systems ◽  
Transition Rates ◽  
Markovian Jump ◽  
State Feedback Controller ◽  
Partly Known Transition Rates ◽  
Positive Markovian Jump Systems ◽  
Jump Systems

scholarly journals Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zhongyi Tang
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Actuator Saturation ◽  
Feedback Controller ◽  
Markovian Jump Systems ◽  
Time Interval ◽  
Markovian Jump ◽  
State Feedback Controller ◽  
Attenuation Level ◽  
Jump Systems

The problem of finite-timeL2-L∞control for Markovian jump systems (MJS) is investigated. The systems considered time-varying delays, actuator saturation, and polytopic uncertain transition description. The purpose of this paper is to design a state feedback controller such that the system is finite-time bounded (FTB) and a prescribedL2-L∞disturbance attenuation level during a specified time interval is guaranteed. Based on the Lyapunov method, a linear matrix inequality (LMI) optimization problem is formulated to design the delayed feedback controller which satisfies the given attenuation level. Finally, illustrative examples show that the proposed conditions are effective for the design of robust state feedback controller.

scholarly journals Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Yucai Ding ◽  
Hui Liu
Keyword(s):  
State Feedback ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Reachable Set ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
State Feedback Controller ◽  
Singular Markovian Jump Systems ◽  
Jump Systems

The problems of reachable set estimation and state-feedback controller design are investigated for singular Markovian jump systems with bounded input disturbances. Based on the Lyapunov approach, several new sufficient conditions on state reachable set and output reachable set are derived to ensure the existence of ellipsoids that bound the system states and output, respectively. Moreover, a state-feedback controller is also designed based on the estimated reachable set. The derived sufficient conditions are expressed in terms of linear matrix inequalities. The effectiveness of the proposed results is illustrated by numerical examples.

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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