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HYBRID
2010
Springer

On infinity norms as Lyapunov functions for piecewise affine systems

10 years 1 months ago
On infinity norms as Lyapunov functions for piecewise affine systems
This paper considers off-line synthesis of stabilizing static feedback control laws for discrete-time piecewise affine (PWA) systems. Two of the problems of interest within this framework are: (i) incorporation of the S -procedure in synthesis of a stabilizing state feedback control law and (ii) synthesis of a stabilizing output feedback control law. Tackling these problems via (piecewise) quadratic Lyapunov function candidates yields a bilinear matrix inequality at best. A new solution to these problems is proposed in this work, which uses infinity norms as Lyapunov function candidates and, under certain conditions, requires solving a single linear program. This solution also facilitates the computation of piecewise polyhedral positively invariant (or contractive) sets for discrete-time PWA systems. Categories and Subject Descriptors
Mircea Lazar, Andrej Jokic
Added 13 Oct 2010
Updated 13 Oct 2010
Type Conference
Year 2010
Where HYBRID
Authors Mircea Lazar, Andrej Jokic
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