Improving the performance of low-gain designs for bounded control of linear
AUTHORS: F. Grognard, R. Sepulchre, G. Bastin.
We consider the control of null controllable linear systems with saturated
input. A gain-scheduling based on a one parameter family of low-gain control
laws is presented. The scheduling is aimed at accelerating the convergence
of solutions towards the origin through the fastest possible increase of
the low-gain parameter along the solutions. The algorithm guarantees closed-loop
stability but exhibits faster convergence than other schemes previously
proposed in the literature. It is illustrated on the double and the triple
STATUS: Submitted to Automatica in November 1999.
DATE OF ENTRY: March 2001.
Paper: PS file.
Preliminary version in the Proceedings of the 14th International Symposium
on Mathematical Theory of Networks and Systems, Perpignan (June 2000):
``Improved performance of low-gain control for linear systems with saturated
input'': PS file.