Design of robust structurally constrained controllers for MIMO plants with time-delays

Deesh Dileep (1, 2) , Wim Michiels (3) , Laurentiu Hetel (4) , Jean-Pierre Richard (5)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 Department of Computer Science - K.U.Leuven
3 DCS - Department of Computer Science [Leuven]
4 SyNeR - Systèmes Non Linéaires et à Retards
5 NON-A-POST - Non-Asymptotic estimation for online systems

— The structurally constrained controller design problem for linear time invariant neutral and retarded time-delay systems (TDS) is considered in this paper. The closed-loop system of the plant and structurally constrained controller is modelled by a system of delay differential algebraic equations (DDAEs). A robust controller design approach using the existing spectrum based stabilisation and the H-infinity norm optimisation of DDAEs has been proposed. A MATLAB based tool has been made available to realise this approach. This tool allows the designer to select the sub-controller input-output interactions and fix their orders. The results obtained while stabilising and optimising two TDS using structurally constrained (decentralised and overlapping) controllers have been presented in this paper.

Mots clés: Decentralized control; Time-delay systems; H2/H-infinity methods; linear systems; Large-scale systems

Domaines: Automatique / Robotique

Deesh Dileep, Wim Michiels, Laurentiu Hetel, Jean-Pierre Richard. Design of robust structurally constrained controllers for MIMO plants with time-delays. European Control Conference 2018, Jun 2018, Limassol, Cyprus. ⟨hal-01761889⟩