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Journal Articles International Journal of Robust and Nonlinear Control Year : 2011

## Anti-windup strategy for reset control systems

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Sophie Tarbouriech
Thomas Loquen
• Function : Author
Christophe Prieur

#### Abstract

This paper proposes an anti-windup strategy to deal with stability and performance requirements for a class of hybrid systems, such as those including a reset controller and subject to input saturation. The computation of the anti-windup compensator aiming at ensuring both $\mathcal{L}_2$ input-to-state stability and internal stability of the closed-loop system is carried out from the solution of matrix inequalities. Depending on the way chosen to describe reset rules, the conditions for designing the anti-windup compensator are expressed through nonlinear matrix inequalities or linear matrix inequalities. Some optimization criteria in both cases are considered for the synthesis purpose: maximization of the $\mathcal{L}_2$-norm upper bound on the admissible disturbances for which the trajectories are assured to be bounded; minimization of the $\mathcal{L}_2$-gain of the disturbance to the system to-be-controlled output; and the maximization of an estimate of the domain of attraction of the origin.

#### Domains

Engineering Sciences [physics] Automatic

### Dates and versions

hal-00595218 , version 1 (24-05-2011)

### Identifiers

• HAL Id : hal-00595218 , version 1
• DOI :

### Cite

Sophie Tarbouriech, Thomas Loquen, Christophe Prieur. Anti-windup strategy for reset control systems. International Journal of Robust and Nonlinear Control, 2011, 20 (10), pp.1159-1177. ⟨10.1002/rnc.1747⟩. ⟨hal-00595218⟩

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