Title :
Analysis and design for discrete-time linear systems subject to actuator saturation
Author :
Hu, Tingshu ; Lin, Zongli ; Chen, Ben M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA
Abstract :
We present a method for estimating the domain of attraction for a discrete-time linear system under a saturated linear feedback. A simple condition is derived in terms of an auxiliary feedback matrix for determining if a given ellipsoid is contractively invariant. Moreover, the condition can be expressed as LMI in terms of all the varying parameters and hence can easily be used for controller synthesis. The following surprising result is revealed for systems with single input: suppose that an ellipsoid is made invariant with a linear feedback, then it is invariant under the saturated linear feedback if and only if it can be made invariant with any saturated (nonlinear) feedback
Keywords :
actuators; control nonlinearities; control system analysis; control system synthesis; discrete time systems; feedback; linear systems; matrix algebra; LMI; actuator saturation; attraction domain estimation; auxiliary feedback matrix; contractively invariant ellipsoid; controller synthesis; discrete-time linear systems analysis; discrete-time linear systems design; saturated linear feedback; varying parameters; Control system synthesis; Control systems; Ellipsoids; Hydraulic actuators; Linear matrix inequalities; Linear systems; Lyapunov method; Optimization methods; Stability analysis; State feedback;
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/.2001.980944
