Extremal solutions of some constrained control problems∗

1 January 1995

journal article
research article
Published by Taylor & Francis in Optimization

Vol. 35 (4) , 345-355
https://doi.org/10.1080/02331939508844154

Abstract

In this paper, a class of absolutely continuous functions with fixed end points and restrictions to their value and their derivative is considered. In particular, the upper and lower bounds of these functions are determined. They are solutions of some optimal control problems with state constraints. The result is applied to some practical problems: optimal control of hydroelectric power plants, inventory problems, and manipulator trajectory planning.

Keywords

This publication has 14 references indexed in Scilit:

Time optimal trajectories of elbow robots by direct methods
Published by American Institute of Aeronautics and Astronautics (AIAA) ,1989
Linear optimal control problem of a system with circuit-free graph structure
International Journal of Control, 1988
On the optimal control of a hydroelectric power plant
Systems & Control Letters, 1987
Some necessary conditions for optimality for a class of optimal control problems which are linear in the control variable
Systems & Control Letters, 1987
Optimale Kontrolle ökonomischer Prozesse
Published by Walter de Gruyter GmbH ,1986
A concept for manipulator trajectory planning
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1986
Globale Optimierung in der Steuerungstheorie
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1983
On Optimal Control Problems with Bounded State Variables and Control Appearing Linearly
SIAM Journal on Control and Optimization, 1977
Modified quasilinearization algorithm for optimal control problems with bounded state
Journal of Optimization Theory and Applications, 1973
New necessary conditions of optimality for control problems with state-variable inequality constraints
Journal of Mathematical Analysis and Applications, 1971