Research articles
ScienceAsia (): 284-289 |doi:
10.2306/scienceasia1513-1874...284
H∞ optimal control of linear time-varying systems with time-varying delay via a controllability approach
Piyapong Niamsupa, Vu N. Phatb,*
ABSTRACT: This paper addresses the H∞ optimal control problem for a class of uncertain linear time-varying delay systems. The interesting features here are that the system in consideration is non-autonomous, the state delay is time-varying, and the controllers to be designed satisfy some exponential stability constraints on the closed-loop poles. Based on the Lyapunov-Krasovskii functional method, we show that the H∞ optimal control problem for the system has a solution if some appropriate linear control delay-like system is globally controllable.
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Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand |
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Department of Control and Optimization, Institute of Mathematics, VAST, Hanoi 10307, Vietnam |
* Corresponding author, E-mail: vnphat@math.ac.vn
Received 26 Mar 2009, Accepted 24 Jun 2009
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