PI event-triggered control under saturating actuators

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 poss...

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Published in:	International journal of control Vol. 92; no. 7; pp. 1634 - 1644
Main Authors:	Moreira, L. G., Groff, L. B., da Silva Jr, J. M. Gomes, Tarbouriech, S.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 03-07-2019 Taylor & Francis Ltd
Subjects:	Actuators Automatic Engineering Sciences Event triggered control Linear matrix inequalities LMI Mathematical analysis Matrix methods Optimization PI controller regional stability saturation Stability
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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.
AbstractList	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.
Author	Groff, L. B. Tarbouriech, S. da Silva Jr, J. M. Gomes Moreira, L. G.
Author_xml	– sequence: 1 givenname: L. G. surname: Moreira fullname: Moreira, L. G. organization: Department of Automation and Energy (DELAE), Universidade Federal do Rio Grande do Sul – sequence: 2 givenname: L. B. surname: Groff fullname: Groff, L. B. organization: Department of Automation and Energy (DELAE), Universidade Federal do Rio Grande do Sul – sequence: 3 givenname: J. M. Gomes surname: da Silva Jr fullname: da Silva Jr, J. M. Gomes email: jmgomes@ufrgs.br organization: Department of Automation and Energy (DELAE), Universidade Federal do Rio Grande do Sul – sequence: 4 givenname: S. surname: Tarbouriech fullname: Tarbouriech, S. organization: LAAS-CNRS, Université de Toulouse, CNRS
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SubjectTerms	Actuators Automatic Engineering Sciences Event triggered control Linear matrix inequalities LMI Mathematical analysis Matrix methods Optimization PI controller regional stability saturation Stability
Title	PI event-triggered control under saturating actuators
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