Title :
Comments on "A new model for control of systems with friction"
Author :
Canudas-de-Wit, C.
Author_Institution :
Lab. d´´Autom., CNRS, Grenoble, France
Abstract :
This paper provides a complete stability proof of Theorem 1 of the above-mentioned paper (Canudas-de-Wit et al., 1995) for the tracking and the regulation case. In the paper, the proof presented for Theorem 1 only holds for the regulation case where the LaSalle´s invariant principle may be invoked. In the tracking case, the closed-loop system becomes a nonautonomous one, and arguments other than the LaSalle´s invariant principle should be used. Here we present these arguments and show that Theorem 1 holds for both cases.
Keywords :
closed loop systems; friction; invariance; stability; tracking; LaSalle´s invariant principle; closed-loop system; nonautonomous system; regulation; stability proof; tracking; Angular velocity; Control system synthesis; Control systems; DC motors; Deformable models; Equations; Friction; Shafts; Stability; Torque;
Journal_Title :
Automatic Control, IEEE Transactions on