A Quasi Time Optimal Receding Horizon Control

Details A Quasi Time Optimal Receding Horizon Control A Quasi Time Optimal Receding Horizon Control

2007-03-15

arxiv.org/abs/math/0703458v1

Mathematics

Optimization and Control

15 pages, 10 figures, paper rejected by "European Journal of Control" september 2006

Scientific paper

This paper presents a quasi time optimal receding horizon control algorithm. The proposed algorithm generates near time optimal control when the state of the system is far from the target. When the state attains a certain neighbourhood of the aim, it begins the adaptation of the cost function. The purpose of this adaptation is to move from the time optimal control to the stabilizing control. Sufficient conditions for the stability of the closed loop system and the manner of the adaptation of the cost function have been given. Considerations are illustrated with examples. Keywords: Receding horizon control ;predictive control; nonlinear stability; optimal control.

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