Yan, Yitao (University of New South Wales), Bao, Jie (The University of New South Wales), Huang, Biao (University of Alberta)

Dissipativity Analysis for Linear Systems in the Behavioural Framework

Scheduled for presentation during the Regular Session "Linear Systems and Robust Control" (FA1), Friday, November 29, 2019, 10:15−12:45, WZ Building Room WZ416

2019 Australian & New Zealand Control Conference (ANZCC), November 27-29, 2019, Auckland, New Zealand

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

This paper develops dissipativity conditions for linear time-invariant (LTI) systems in the behavioural framework. The behaviour of a system is characterised by its persistently exciting trajectories. For the dissipativity conditions, both the supply rate and the storage function are represented using quadratic difference forms (QdFs) using past steps. We show that it is possible to define an LTI system of arbitrary length using trajectories with low order of excitation. The system can be defined in a similar way as an image representation and the dissipativity conditions can hence be derived using a similar logic. The conditions are presented in the form of linear matrix inequalities (LMIs).