State feedback control for stochastic regular linear quadratic tracking problem with input time delay

2020 ◽  
Author(s):  
Nana Jin ◽  
Shuai Liu
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Tracking Problem ◽  
Linear Quadratic ◽  
Linear Quadratic Tracking ◽  
Input Time ◽  
Quadratic Tracking

scholarly journals Predictor-based stabilization for chained form systems with input time delay

2016 ◽  
Vol 26 (4) ◽  
pp. 515-525
Author(s):  
Faïçal Mnif
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Original System ◽  
Feedback System ◽  
State Feedback Control ◽  
Exponential Stabilization ◽  
Free System ◽  
System A ◽  
Input Time ◽  
System States

Abstract This note addresses the stabilization problem of nonlinear chained-form systems with input time delay. We first employ the so-called σ-process transformation that renders the feedback system under a linear form. We introduce a particular transformation to convert the original system into a delay-free system. Finally, we apply a state feedback control, which guarantees a quasi-exponential stabilization to all the system states, which in turn converge exponentially to zero. Then we employ the so-called -type control to achieve a quasi-exponential stabilization of the subsequent system. A simulation example illustrated on the model of a wheeled mobile robot is provided to demonstrate the effectiveness of the proposed approach.

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