Dissipativity Analysis for Linear Systems in the Behavioural Framework

被引：0
|
作者：
Yan, Yitao [1 ]
Bao, Jie [1 ]
Huang, Biao [2 ]
机构：
[1] Univ New South Wales, Sch Chem Engn, Sydney, NSW 2052, Australia
[2] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2M7, Canada
来源：
2019 AUSTRALIAN & NEW ZEALAND CONTROL CONFERENCE (ANZCC) | 2019年
基金：
澳大利亚研究理事会;
关键词：
STABILITY;
D O I：
10.1109/anzcc47194.2019.8945626
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper develops some 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).
引用
收藏
页码：94 / 98
页数：5
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