Quadratic stabilization and control of piecewise-linear systems
- 1 January 1998
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 6 (07431619) , 3659-3664 vol.6
- https://doi.org/10.1109/acc.1998.703296
Abstract
We consider analysis and controller synthesis of piecewise-linear systems. The method is based on constructing quadratic and piecewise-quadratic Lyapunov functions that prove stability and performance for the system. It is shown that proving stability and performance, or designing (state-feedback) controllers, can be cast, as convex optimization problems involving linear matrix inequalities that can be solved very efficiently. A couple of simple examples are included to demonstrate applications of the methods described.Keywords
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