In this paper we provide conditions for the synthesis of polynomial static state feedback control laws for discrete-time polynomial systems and conditions for the stability analysis of input-saturating systems. These conditions are based on polynomial inequalities affine both in the Lyapunov function parameters and in the gains of the polynomial state-feedback control law. The stability analysis of the saturating system is performed with polynomial Lyapunov functions with the help of a generalized sector condition which allows us to take into account nonsymmetric saturation bounds. The problems of computing the polynomial control laws and estimating the region of attraction of the resulting closed-loop system are solved numerically by considering sum-of-squares relaxations of the polynomial inequalities.

Synthesis of polynomial control laws and analysis for discrete-time polynomial systems with saturating inputs

Zaccarian, Luca
2012-01-01

Abstract

In this paper we provide conditions for the synthesis of polynomial static state feedback control laws for discrete-time polynomial systems and conditions for the stability analysis of input-saturating systems. These conditions are based on polynomial inequalities affine both in the Lyapunov function parameters and in the gains of the polynomial state-feedback control law. The stability analysis of the saturating system is performed with polynomial Lyapunov functions with the help of a generalized sector condition which allows us to take into account nonsymmetric saturation bounds. The problems of computing the polynomial control laws and estimating the region of attraction of the resulting closed-loop system are solved numerically by considering sum-of-squares relaxations of the polynomial inequalities.
2012
Proceedings of the American Control Conference
USA
IEEE
G., Valmorbida; S., Tarbouriech; G., Garcia; Zaccarian, Luca
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/67122
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact