Journal of Applied Mathematics

Design of Controllers and Observer-Based Controllers for Time-Delay Singularly Perturbed Systems via Composite Control

Juing-Shian Chiou

Full-text: Open access

Abstract

This paper presents a novel and general approach, which is based on the composite control method, to synthesize the controller and observer-based state feedback to stabilize the singularly perturbed time-delay systems. First, the equivalent models of the original systems and the subsystems reduced via singular perturbation techniques are derived. Through these equivalent models, O(ε) approximation of the stabilization and observer design for the original systems can be achieved through separate analyses for the slow and fast subsystems via a transformation of block diagonalization.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 813598, 9 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807968

Digital Object Identifier
doi:10.1155/2013/813598

Mathematical Reviews number (MathSciNet)
MR3056199

Zentralblatt MATH identifier
1266.93099

Citation

Chiou, Juing-Shian. Design of Controllers and Observer-Based Controllers for Time-Delay Singularly Perturbed Systems via Composite Control. J. Appl. Math. 2013 (2013), Article ID 813598, 9 pages. doi:10.1155/2013/813598. https://projecteuclid.org/euclid.jam/1394807968


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