Observer-based H ∞ stabilisation for linear systems with large delay periods

Sheng-Li Du; Rui Wang; Shuo Wang; Mei Yu

Observer-based H _∞ stabilisation for linear systems with large delay periods

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Author(s): Sheng-Li Du ¹ ; Rui Wang ² ; Shuo Wang ^{3, 4} ; Mei Yu ³
- Affiliations: 1: School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, People's Republic of China ;
  2: School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, People's Republic of China ;
  3: School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, People's Republic of China ;
  4: Industrial Electronic System Testing Laboratory, China Software Testing Center, Beijing 100048, People's Republic of China
Source: Volume 10, Issue 4, 26 February 2016, p. 417 – 423
DOI: 10.1049/iet-cta.2015.0308 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 23/04/2015, Accepted 01/12/2015, Revised 11/08/2015, Published 26/02/2016

This study is concerned with the observer-based H _∞ stabilisation problem for a class of linear systems with large delay periods (LDPs). Based on the switching technique, the system with LDPs is modelled into a switched delay system which consists of two subsystems. The controller and observer gains are solved under the small delay case. Sufficient conditions are derived to ensure the system is not only exponentially stable, but also possesses an H _∞ performance index. The effectiveness of the proposed method is validated by the simulation of a load frequency control system.

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Observer-based H _∞ stabilisation for linear systems with large delay periods

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