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On a horizontal version of the inverse pendulum problem

✍ Scribed by Y. Yavin; C. Frangos

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 785 KB
Volume: 141
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(96)01121-8

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✦ Synopsis

This work deals with the guidance and control of a system which is composed of a rolling disk and a slender rod that is freely pivoted, through its middle point, about the disk's center. The motion of the disk-rod system is subjected to state and control constraints, of which one of them serves as a generalized, horizontal version, of the inverse pendulum problem. In this work two concepts are introduced. First the concept of feasible command strategies is introduced and their applicability is demonstrated by solving a guidance and control problem concerning the above-mentioned system. Second, the concept of path controllability is introduced and a condition is derived for the system's motion path controllability.

The derivation of this condition enables one to design closed-loop control laws for the systems's motion.

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