Numerical techniques for the inverse optimal control problem in limited state feedback systems

1975 ◽  
Vol 2 (1) ◽  
pp. 53-66 ◽  
Author(s):  
K.W. Anderson ◽  
G.F. Shannon
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
State Feedback ◽  
Inverse Optimal Control ◽  
Feedback Systems ◽  
Numerical Techniques

The Tensor Product Based Analytic Solutions of Nonlinear Optimal Control Problem

2014 ◽  
Vol 511-512 ◽  
pp. 1063-1067 ◽  
Author(s):  
Hajer Bouzaouache ◽  
Naceur Benhadj Braiek
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Tensor Product ◽  
Control Problem ◽  
State Feedback ◽  
Numerical Procedure ◽  
Analytic Solutions ◽  
Linear Solution ◽  
Algebraic Laws ◽  
Feedback Optimal Control

In this paper, the attention is focused on the optimization of a particular class of nonlinear systems. The optimum linear solution is not the best one so the problem of determining a nonlinear state feedback optimal control law with quadratic performance index over infinite time horizon is considered. It isn't an easy task and the most discouraging obstacle is the resolution of the Hamilton-Jacobi equation. Thus our contribution, based on the use of the tensor product and its algebraic laws, provide analytic solutions of the studied optimal control problem. The polynomial state feedback solution is computed through a numerical procedure. A numerical example is treated to illustrate the proposed solutions and some conclusions are drawn.

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