Suboptimality introduced by discretisation in time-optimal control systems

1981 ◽  
Vol 128 (6) ◽  
pp. 279
Author(s):  
A.A. Dickie ◽  
M.P.J. Scott
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Time Optimal Control ◽  
Time Optimal

scholarly journals Time-optimality by distance-optimality for parabolic control systems

2020 ◽  
Vol 54 (1) ◽  
pp. 79-103
Author(s):  
Lucas Bonifacius ◽  
Karl Kunisch
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Numerical Examples ◽  
Algorithmic Solution ◽  
Time Optimal ◽  
Time Optimality

The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient algorithmic solution of time-optimal control problems is investigated. Numerical examples are provided to illustrate that the approach works well in practice.

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