A ritz-type approach to the calculation of optimal control for nonlinear, dynamic systems

2005 ◽  
pp. 149-157
Author(s):  
B. Asselmeyer
Keyword(s):  
Optimal Control ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems

Approximate robust optimal control of nonlinear dynamic systems under process noise

2015 ◽  
Author(s):  
Dries Telen ◽  
Mattia Vallerio ◽  
Lorenzo Cabianca ◽  
Boris Houska ◽  
Jan Van Impe ◽  
...  
Keyword(s):  
Optimal Control ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
Process Noise ◽  
Robust Optimal Control

Fourier-Based Optimal Control of Nonlinear Dynamic Systems

1990 ◽  
Vol 112 (1) ◽  
pp. 17-26 ◽  
Author(s):  
M. L. Nagurka ◽  
V. Yen
Keyword(s):  
Optimal Control ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
Control Problems ◽  
Inverse Dynamic ◽  
Lumped Parameter ◽  
Lumped Parameter Models ◽  
Fourier Series Approximation ◽  
Computer Simulation Studies

A method for generating near optimal trajectories of linear and nonlinear dynamic systems, represented by deterministic, lumped-parameter models, is proposed. The method is based on a Fourier series approximation of each generalized coordinate that converts the optimal control problem into an algebraic nonlinear programming problem. Due to its inverse dynamic nature, the method avoids many of the numerical difficulties typically encountered in solving standard optimal control problems. Furthermore, the method is easy to implement, capable of handling various types of constraints, and quite effective for solving non-bang-bang type control problems. The results of computer simulation studies compare favorably to optimal solutions obtained by closed-form analyses and/or by other numerical schemes.

On Adaptive Optimal Control of Nonlinear Processes

1964 ◽  
Vol 86 (1) ◽  
pp. 151-159 ◽  
Author(s):  
A. E. Pearson
Keyword(s):  
Optimal Control ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Identification Problem ◽  
Nonlinear Dynamic Systems ◽  
Nonlinear Processes ◽  
Adaptive Optimal Control ◽  
Performance Functional

The paper concerns an approach to adaptive optimal control of nonlinear dynamic systems which has been introduced by Kulikowski. In this approach, the required identification is carried out at each stage of constructing a sequence of inputs (xn(t)), tε(0, T) converging to a relative extremum of a given performance functional. The major contributions of this paper relate to the identification problem and its incorporation into the optimal control formulation.

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