Convergence rates for direct transcription of optimal control problems with final-time equality constraints using collocation at Radau points

2006 ◽  
Author(s):  
S. Karneswaran ◽  
L.T. Biegler
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Convergence Rates ◽  
Equality Constraints ◽  
Control Problems ◽  
Final Time ◽  
Direct Transcription

A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition

2020 ◽  
Vol 37 (3) ◽  
pp. 1021-1047
Author(s):  
Roberto Andreani ◽  
Valeriano Antunes de Oliveira ◽  
Jamielli Tomaz Pereira ◽  
Geraldo Nunes Silva
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problems ◽  
Necessary Optimality Conditions ◽  
Inequality Constraints ◽  
Equality Constraints ◽  
Control Problems ◽  
Constant Rank ◽  
Rank Condition ◽  
Weak Maximum Principle

Abstract Necessary optimality conditions for optimal control problems with mixed state-control equality constraints are obtained. The necessary conditions are given in the form of a weak maximum principle and are obtained under (i) a new regularity condition for problems with mixed linear equality constraints and (ii) a constant rank type condition for the general non-linear case. Some instances of problems with equality and inequality constraints are also covered. Illustrative examples are presented.

scholarly journals Solving optimal control problems with control delays using direct transcription

2016 ◽  
Vol 108 ◽  
pp. 185-203 ◽  
Author(s):  
John T. Betts ◽  
Stephen L. Campbell ◽  
Karmethia C. Thompson
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Direct Transcription ◽  
Control Delays
Sign in / Sign up

Export Citation Format

Share Document