Reduced-order observer-based decentralised control of non-linear interconnected systems

Abstract

The output feedback-based asymptotic stabilisation problem for a class of non-linear interconnected systems is considered, where the non-linear interconnections between subsystems satisfy quadratic constraints. A novel decentralised dynamic output feedback control strategy involving local projection operator-based reduced-order observers is proposed. This decentralised controller is characterised by the separation property. Two easily verifiable conditions that guarantee the asymptotic stability of the closed-loop system driven by the proposed decentralised controller are given. The effectiveness of the developed decentralised control strategy is illustrated with a numerical example and simulations.

Keywords:

• non-linear interconnected systems
• decentralised dynamic output feedback control
• projection operator
• reduced-order observer
• asymptotic stabilisation

Acknowledgements

The authors are grateful for the constructive comments of the reviewers.