An Hybrid Functions Based State-Control Parametrization Method to the Optimal Control of State and Input Delayed Bilinear Systems

2020 ◽  
Author(s):  
Mohamed Karim Bouafoura ◽  
Naceur Benhadj Braiek
Keyword(s):  
Optimal Control ◽  
Bilinear Systems ◽  
State Control ◽  
Control Parametrization ◽  
Parametrization Method ◽  
Hybrid Functions

A COMBINED ADAPTIVE CONTROL PARAMETRIZATION AND HOMOTOPY CONTINUATION TECHNIQUE FOR THE NUMERICAL SOLUTION OF BANG–BANG OPTIMAL CONTROL PROBLEMS

2014 ◽  
Vol 56 (1) ◽  
pp. 48-65 ◽  
Author(s):  
M. A. MEHRPOUYA ◽  
M. SHAMSI ◽  
M. RAZZAGHI
Keyword(s):  
Optimal Control ◽  
Adaptive Control ◽  
Numerical Solution ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Homotopy Continuation ◽  
Control Parametrization ◽  
Parametrization Method ◽  
Advantages And Disadvantages ◽  
Continuation Technique

AbstractWe present an efficient computational procedure for the solution of bang–bang optimal control problems. The method is based on a well-known adaptive control parametrization method, which is one of the direct methods for numerical solution of optimal control problems. First, the adaptive control parametrization method is reviewed and then its advantages and disadvantages are illustrated. In order to resolve the need for a priori knowledge about the structure of optimal control and for resolving the sensitivity to an initial guess, a homotopy continuation technique is combined with the adaptive control parametrization method. The present combined method does not require any assumptions on the control structure and the number of switching points. In addition, the switching points are captured accurately; also, efficiency of the method is reported through illustrative examples.

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