Optimal control of a linear system with time delay in the control

1977 ◽  
Vol 18 (2) ◽  
pp. 264-272
Author(s):  
D. A. Plyako
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Linear System ◽  
System With Time Delay

Fault-tolerant Stabilization for Linear System with Time Delay

2013 ◽  
Vol 8 (3) ◽  
Author(s):  
Shaohua Wang ◽  
Juan Liu ◽  
Lin Chen
Keyword(s):  
Time Delay ◽  
Linear System ◽  
Fault Tolerant ◽  
System With Time Delay

scholarly journals OPTIMAL CONTROL OF SWITCHED IMPULSIVE SYSTEMS WITH TIME DELAY

2012 ◽  
Vol 53 (4) ◽  
pp. 292-307 ◽  
Author(s):  
K. H. WONG ◽  
W. M. TANG
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Time Instant ◽  
Computational Method ◽  
Impulsive Systems ◽  
Delay Differential ◽  
The Cost ◽  
System With Time Delay

AbstractWe develop a computational method for solving an optimal control problem governed by a switched impulsive dynamical system with time delay. At each time instant, only one subsystem is active. We propose a computational method for solving this optimal control problem where the time spent by the state in each subsystem is treated as a new parameter. These parameters and the jump strengths of the impulses are decision parameters to be optimized. The gradient formula of the cost function is derived in terms of solving a number of delay differential equations forward in time. Based on this, the optimal control problem can be solved as an optimization problem.

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