Improved ℋ∞ state-feedback control for discrete-time Markovian jump systems with incomplete knowledge of transition probabilities(ICCAS 2015)

2015 ◽  
Author(s):  
Nam Kyu Kwon ◽  
Bum Yong Park ◽  
PooGyeon Park
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
State Feedback ◽  
Transition Probabilities ◽  
State Feedback Control ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Incomplete Knowledge ◽  
Jump Systems

scholarly journals H 2 Control of Markovian Jump Systems with Input Saturation and Incomplete Knowledge of Transition Probabilities

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Bum Yong Park
Keyword(s):  
Transition Rate ◽  
State Feedback ◽  
Transition Probabilities ◽  
Input Saturation ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Numerical Examples ◽  
Incomplete Knowledge ◽  
Matrix Polynomials ◽  
Jump Systems

This paper proposes an ℋ 2 state-feedback controller for Markovian jump systems with input saturation and incomplete knowledge of transition probabilities. The proposed controller is developed using second-order matrix polynomials of an incomplete transition rate to derive less conservative stabilization conditions. The proposed controller not only guarantees ℋ 2 performance but also rejects matched disturbances. The effectiveness of the proposed method is demonstrated using three numerical examples.

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