Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 813598, 9 pages.
Design of Controllers and Observer-Based Controllers for Time-Delay Singularly Perturbed Systems via Composite Control
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, 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.
J. Appl. Math., Volume 2013 (2013), Article ID 813598, 9 pages.
First available in Project Euclid: 14 March 2014
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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