PI event-triggered control under saturating actuators

ABSTRACT

This paper proposes a methodology to design stabilising event-trigger strategies for PI-controlled linear continuous-time plants subject to input saturation. Using Lyapunov theory techniques, conditions based on linear matrix inequalities (LMI) are derived to guarantee regional (or global, when possible) asymptotic stability of the equilibrium. These conditions can be incorporated in optimisation problems to choose the parameters of the trigger function aiming at reducing the sampling activity, while ensuring the regional stability of the equilibrium with respect to a given set of admissible initial states. Simulation results illustrate the application and potentialities of the method.

KEYWORDS:

• Event-triggered control
• PI controller
• saturation
• LMI
• regional stability

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

1. Here we also assume that K is stabilising, so that A + BK is Hurwitz and, thus, invertible.

Additional information

Funding

This work was supported by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) (PhD Scholarships of L. B. Groff and L. G. Moreira [PDSE 88881.134305/2016-01]) and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPQ), Brazil [grant number PQ-305979/2015-9], [grant number 422992/2016-0].