Improving the performance of low-gain designs for bounded control of linear systems

• AUTHORS: F. Grognard, R. Sepulchre, G. Bastin.
• ABSTRACT:

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 integrator system.
• 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.