Title :
Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation
Author :
Hu, Tingshu ; Lin, Zongli
Author_Institution :
Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA
fDate :
1/1/2002 12:00:00 AM
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 (LMIs) and can be easily used for optimization-based analysis and design
Keywords :
actuators; control system analysis; control system synthesis; feedback; invariance; linear systems; optimisation; actuator saturation; contractive invariance; exact characterization; invariant ellipsoids; linear matrix inequalities; necessary condition; optimization-based analysis; optimization-based design; saturated linear feedback; single-input linear systems; sufficient condition; Design optimization; Ellipsoids; Feedback control; Hydraulic actuators; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear systems; Stability analysis; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
