Pregled bibliografske jedinice broj: 653272
On infinity norms as Lyapunov functions for piecewise affine systems
On infinity norms as Lyapunov functions for piecewise affine systems // Hybrid Systems: Computation and Control conference
Stockholm, Švedska, 2010. (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
On infinity norms as Lyapunov functions for piecewise affine systems
Autori
Lazar, Mircea ; Jokić, Andrej
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Hybrid Systems: Computation and Control conference
/ - , 2010
Skup
Hybrid Systems: Computation and Control conference
Mjesto i datum
Stockholm, Švedska, 2010
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Stability; Lyapunov methods; Piecewise affine systems; Output feedback; Infinity norms
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Strojarstvo, Temeljne tehničke znanosti
