LMI-Based Output Feedback Control Design in the Presence of Sporadic Measurements

Roberto Merco (1) , Francesco Ferrante (2) , Ricardo Sanfelice (3) , Pierluigi Pisu (1)

1 Clemson University
2 GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics
3 UCSC Department of Computer Engineering - Computer Engineering Department

This paper considers the problem of stabilizing a linear time-invariant system in the presence of plant measurements that are available in an intermittent fashion. We propose a dynamic output feedback controller equipped with a holding device that is a linear time-invariant system whose state is reset when a new measure is available. We provide an LMI-based design procedure for the co-design of the dynamic controller and holding device parameters. Our approach relies on Lyapunov theory for hybrid systems and addresses the stability analysis in a way that is reminiscent of an "input- to-state stability small gain" philosophy. The effectiveness of the proposed LMI-based design is showcased in a numerical example.

Domaines: Automatique

Roberto Merco, Francesco Ferrante, Ricardo Sanfelice, Pierluigi Pisu. LMI-Based Output Feedback Control Design in the Presence of Sporadic Measurements. ACC 2020 - American Control Conference, Jul 2020, Denver (online), United States. pp.3331-3336, ⟨10.23919/ACC45564.2020.9147950⟩. ⟨hal-02512846⟩