Title :
On stability and performance analysis of discrete-time piecewise affine systems
Author :
Mirzazad-Barijough, Sanam ; Lee, Ji-Woong
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
This paper considers exponential stability and quadratic performance of discrete-time piecewise affine systems. We propose a procedure to obtain an increasing sequence of state-space partitions, and show that, whenever the procedure terminates after a finite number of steps, a nonconservative stability and performance analysis is achieved by solving a finite number of linear matrix inequalities. The result is illustrated via numerical examples, which include a model of the PWM DC-DC power converter.
Keywords :
DC-DC power convertors; PWM power convertors; asymptotic stability; discrete time systems; linear matrix inequalities; PWM DC-DC power converter; discrete-time piecewise affine systems; exponential stability; linear matrix inequalities; quadratic performance analysis; state-space partitions; Converters; Linear matrix inequalities; Numerical stability; Performance analysis; Stability analysis; Switches; Trajectory;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717481
