Title :

Design of $L2$ stable fixed-order decentralised controllers in a network of sampled-data systems with time-delays

Author(s) :

Dileep, Deesh [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Department of Computer Science - K.U.Leuven
Thomas, Jijju [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Hetel, Laurentiu [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Wouw, Nathan van De [Auteur]
Technische Universiteit Eindhoven [TU/e]
Richard, Jean-Pierre [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Michiels, Wim [Auteur]
Department of Computer Science [Leuven] [DCS]

Journal title :

European Journal of Control

Publisher :

Elsevier

Publication date :

2020-11

ISSN :

0947-3580

English keyword(s) :

Decentralized control
Time-delay Systems
Sampled-date control
Network structure exploitation
Robust controller design

HAL domain(s) :

Informatique [cs]/Automatique
Informatique [cs]/Systèmes et contrôle [cs.SY]
Mathématiques [math]/Optimisation et contrôle [math.OC]

English abstract : [en]

A methodology is proposed for the design of sampled-data fixed-order decentralised controllers for Multiple Input Multiple Output (MIMO) Linear Time-Invariant (LTI) time-delay systems. Imperfections in the communications ...
Show more >A methodology is proposed for the design of sampled-data fixed-order decentralised controllers for Multiple Input Multiple Output (MIMO) Linear Time-Invariant (LTI) time-delay systems. Imperfections in the communications links between continuous-time plants ans controllers arising due to transmission time-delay, aperiodic sampling, and asynchronous sensors ans actuators are considered. We model the errors induced due to the control imperfections using an operator approach leading to a simple $L2$, stability criterion. A frequency domain-based direct optimisation approach towards controller desing is proposed in thir paper. This approach relies on the minimisation of cost functions, for stability and robustness against control imperfections, as a function of the controller or design parameters. First, the proposed method towards controller design is applied to generic MIMO LTI systems with time-delay. Second, when the delay system to be controlled has the structure of a network of coupled quasi-identical subsystems, we use a scalable algorithm to design identical decentralised controllers through network structure exploitation. Quasi-identical subsystems are identical subsystems that have non-identical uncertainties or control imperfections. By exploiting the structure, we improve the computational efficiency and scalability with the number of subsystems. The methodology has been implemented in a publicly available software, which supports system models in terms of delay differential algebraic equations. Finally, the effectiveness of the methodology is illustrated using a numerical example.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL