Improved observer-based reliable guaranteed cost control for neutral systems Online publication date: Sun, 21-Nov-2010
by Hua Meng, Xue-li Wu, Xuan Lv, Qian Han
International Journal of Modelling, Identification and Control (IJMIC), Vol. 11, No. 3/4, 2010
Abstract: In this note, the problem of observer-based reliable guaranteed cost control for a class of linear neutral delay differential system with actuator failures is investigated. In this paper, some new simple Lyapunov-Krasovskii functionals are constructed by uniformly dividing the discrete delay interval into multiple segments and choosing proper functionals with different weighted matrices corresponding to different segments in the Lyapunov-Krasovskii functionals. Then, using these new simple Lyapunov-Krasovskii functionals, some new delay-dependent stability criteria are derived. It is shown that the system is asymptotically stable against actuator failures if the correspondent sufficient condition can be satisfied. Finally, a numerical example is given to illustrate the effectiveness of the proposed criteria and we can also get information that the guaranteed cost will exist from the example.
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