Reliable decentralised stabilisation of multi-channel systems: a design method via dilated LMIs and unknown disturbance observers

Abstract

Reliable decentralised stabilisation is considered for general multi-channel plants, where the objective is to maintain stability of the closed-loop system when all of decentralised controllers work together and when one of the controllers is extracted due to a failure. For this control problem, a design method is presented, where a dilated LMI technique is employed for deriving reliable state feedback design, while a version of unknown disturbance observer is used as a decentralised observer for extending the design to output feedback case. Applicability of the proposed method is demonstrated through a power system example, where a model reduction and a low pass filter are further employed.

Keywords:

• reliable control
• decentralised control
• stabilisation
• dilated LMI
• unknown disturbance observer

Notes

Note

1. In this article, we do not discuss transient situations in failures. This is justified in the context of stability since stability is defined with behaviours over the infinite time interval.