Naslov
Lp-stability with respect to sets applied towards self-triggered communication for single-integrator consensus

Autori
Tolić, Domagoj

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proc. of 52nd IEEE Conference on Decision and Control / - , 2013, 3409-3414

Skup
52nd IEEE Conference on Decision and Control

Mjesto i datum
Firenca, Italija, 10.12.2013. - 13.12.2013

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
consensus control; self-triggering; Lp-stability; input-to-state stability

Sažetak
In this paper, we formulate and study the concept of Lp-stability with respect to a set. This robustness concept generalizes the standard Lp-stability notion towards control systems designed to steer the system state into the vicinity of a set rather than of a point. We focus on stable LTI systems with the property that all eigenvalues with zero real part are located in the origin. Employing the Real Jordan Form, we devise a mechanism for computing upper bounds associated with Lp-stability and Lp to Lp detectability with respect to the equilibrium manifold. Notable examples of this class of LTI systems arise from consensus control. In a selftriggered realization of consensus control problems, each agent broadcasts its state only when necessary in order to achieve consensus. Bringing together Lp-stability with respect to the consensus manifold and the small-gain theorem, we develop self-triggering for single-integrator consensus with fixed and switching network topology. In addition, we show that this consensus problem is Input-to-State Stable with respect to the consensus manifold. Finally, our results are corroborated by numerical simulations.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika

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