Disturbance Rejection for Discrete-Time Linear Systems with Time-Delays via Internal Model Principle

2014 ◽  
Vol 590 ◽  
pp. 478-481
Author(s):  
Shao Ting Ge ◽  
Zhi Min Liu ◽  
Xue Xia Gao ◽  
Mei Xing Wang ◽  
Yu Qing Feng
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Disturbance Rejection ◽  
Delay System ◽  
Time Delay System ◽  
State Delay ◽  
Internal Model Principle ◽  
Disturbance Rejection Control ◽  
And Control ◽  
Time Linear

The disturbance rejection problem for discrete-time linear systems with both state delay and control delay is considered. Using a model transformation, the time-delay system is transformed into a nondelayed system. The disturbance rejection control law is obtained by solving its optimal regulation problem.

scholarly journals Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Hong Shi ◽  
Guangming Xie ◽  
Wenguang Luo
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Control Delay ◽  
Discrete Time Systems ◽  
Necessary And Sufficient ◽  
And Control ◽  
Time Systems ◽  
Time Linear

The controllability issues for discrete-time linear systems with delay in state and control are addressed. By introducing a new concept, the controllability realization index (CRI), the characteristic of controllability is revealed. An easily testable necessary and sufficient condition for the controllability of discrete-time linear systems with state and control delay is established.

scholarly journals Controllability Analysis of Linear Discrete Time Systems with Time Delay in State

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Hong Shi ◽  
Guangming Xie ◽  
Wenguang Luo
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
State Delay ◽  
Discrete Time Systems ◽  
Necessary And Sufficient ◽  
Time Systems ◽  
Time Linear

The controllability issues for linear discrete-time systems with delay in state are addressed. By introducing a new concept, the minimum controllability realization index (MinCRI), the characteristic of controllability is revealed. It is proved that the MinCRI of a system with state delay exists and is finite. Based on this result, a necessary and sufficient condition for the controllability of discrete-time linear systems with state delay is established.

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