Nondegenerate Necessary Conditions for Linear Optimal Control Problems with Higher Index State Constraints

2006 ◽  
Author(s):  
F.A.C.C. Fontes
Keyword(s):  
Optimal Control ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Necessary Conditions ◽  
Control Problems ◽  
Linear Optimal Control ◽  
Linear Optimal Control Problems

An Indirect Method for Solving Non-Linear Optimal Control Problems in Power Systems-Part 2

1974 ◽  
Vol 11 (4) ◽  
pp. 313-321 ◽  
Author(s):  
O. P. Malik ◽  
B. K. Mukhopadhyay ◽  
P. Subramaniam
Keyword(s):  
Optimal Control ◽  
Power Systems ◽  
Optimal Control Problems ◽  
Numerical Technique ◽  
Continuation Method ◽  
Hybrid Approach ◽  
Control Problems ◽  
Linear Optimal Control ◽  
Non Linear ◽  
Linear Optimal Control Problems

This paper describes the application of quasilinearization algorithm and its various modifications to solve the non-linear optimal control problems in power systems. Results obtained by this indirect numerical technique are compared to those obtained by other, direct methods. It is shown that a proposed hybrid approach, in conjunction with the continuation method, can be considered as an effective iterative procedure for most practical problems in power systems.

scholarly journals Optimal control problems with elastic collisions

1989 ◽  
Vol 30 (4) ◽  
pp. 470-482
Author(s):  
J. M. Murray
Keyword(s):  
Optimal Control ◽  
State Vector ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Necessary Conditions ◽  
The State ◽  
Control Problems ◽  
Elastic Collisions ◽  
Linear State

AbstractIn this paper consider we optimal control problems with linear state constraints where the states can be discontinuous at the boundary. In fact the state vector models the cause the position and velocity of a particle where the collisions with the boundary that cause the discontinuities are elastic. Necessary conditions are derived by looking at limits of approximate problems that are unconstrained.

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