Title :
On maximizing the convergence rate for linear systems with input saturation
Author :
Hu, Tingshu ; Lin, Zongli ; Shamash, Yacov
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
In this paper, we consider the problem of maximizing the convergence rate inside a given level set for both continuous-time and discrete-time systems with input saturation. We also provide simple methods for finding the largest ellipsoid of a given shape that can be made invariant with a saturated control. For the continuous-time case, the maximal convergence rate is achieved by a bang-bang type control with a simple switching scheme. Suboptimal convergence rate can be achieved with saturated high-gain linear feedback. For the discrete-time case, the maximal convergence rate is achieved by a coupled saturated linear feedback
Keywords :
bang-bang control; continuous time systems; convergence; discrete time systems; feedback; linear systems; switching; bang-bang type control; continuous-time systems; convergence rate maximisation; coupled saturated linear feedback; discrete-time systems; input saturation; linear-systems; maximal invariant ellipsoid; saturated high-gain linear feedback; sub-optimal convergence; switching scheme; Control systems; Convergence; Ellipsoids; Feedback; Level set; Linear systems; Nonlinear systems; Optimal control; Shape control; Stability;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945760