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STABILIZATION WITH WELL-POSEDNESS OF A CLASS OF SWITCH-DRIVEN PIECEWISE AFFINE SYSTEMS
Jun-ichi Imura*
Toshikazu Shimizu**, Masami Saeki**
* Dept. of Mechanical and Environmental Informatics,
Tokyo Institute of Technology, Oh-Okayama 2-12-1,
Meguro, Tokyo 152-8552, Japan, imura@mei.titech.ac.jp
** Dept. of Mechanical System Engineering, Hiroshima
University, Higashi-Hiroshima 739-8527, Japan
The well-posedness (existence and uniqueness of solutions)problem and the stabilization problem of switch-driven piecewise affine (PWA) systems with 2 binary switches are addressed. First, under some assumptions, a necessary and sufficient condition for the system to be well-posed is derived. Next, based on this result, an approach to find a dynamic state feedback controller for which the closed loop system is well-posed as well as globally asymptotically stable is proposed.
Keywords: Hybrid systems, Well-posedness, Piecewise affine systems
Session slot T-Mo-M07: Hybrid, Switching and Discrete Systems/Area code 2c : Non-linear Systems
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