A Random Approach to Time-Optimal Control-Reference-Cited by-同舟云学术

A Random Approach to Time-Optimal Control

Published:1999-09-01 Issue:3 Volume:121 Page:542-543
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Kulczycki Piotr¹

Affiliation:

1. Cracow University of Technology ul. Warszawska 24, PL-31-155 Cracow, Poland

Abstract

This paper concerns the time-optimal control for objects described by a random differential inclusion with discontinous right-hand side, representing the second law of Newtonian mechanics and taking into account a complex model of resistance to motion. Such a task has broad technical applications, especially in robotics. By generalizing the concept of the classic switching curve to the switching region, it is possible to construct in practice a range of convenient suboptimal control structures that provide many advantages, especially in respect to robustness.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/121/3/542/5779363/542_1.pdf

Reference8 articles.

1. Athans, M., and Falb, P. L., 1966, Optimal Control, McGraw-Hill, New York.

2. Hejmo W. , 1994, “Time-optimal Feedback System Controlling a Discontinuous Dynamic Object Reaching a Moving Target,” Automatica, Vol. 30, pp. 1937–1941.

3. Kulczycki P. , 1996a, “Almost Certain Time-Optimal Positional Control,” IMA Journal of Mathematical Control & Information, Vol. 13, pp. 63–77.

4. Kulczycki P. , 1996b, “Some Remarks on Solutions of Discontinuous Differential Equations Applied in Automatic Control,” Industrial Mathematics, Vol. 46, pp. 119–128.

5. Kulczycki P. , 1996c, “Time-Optimal Positional Feedback Controller for Random Systems,” Proceedings of the National Science Council ROC(A), Vol. 20, pp. 79–89.

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