Title :
Exact characterization of invariant ellipsoids for linear systems with saturating actuators
Author :
Hu, Tingshu ; Lin, Zongli
Author_Institution :
Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
We present a necessary and sufficient condition for an ellipsoid to be an invariant set of a linear system under a saturated linear feedback. The condition is given in terms of linear matrix inequalities and can be easily used for optimization based analysis and design
Keywords :
actuators; control nonlinearities; control system analysis; control system synthesis; feedback; linear systems; matrix algebra; optimal control; LMI; invariant ellipsoid characterization; linear matrix inequalities; linear systems; necessary and sufficient condition; optimization; saturated linear feedback; saturating actuators; Design optimization; Ellipsoids; Erbium; Feedback control; Hydraulic actuators; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear systems; Sufficient conditions;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980943
