Open AccessRobust guaranteed cost H∞ control for uncertain time-varying delay system
Author(s) -
Yuechao Ma,
Huang Li-Fang,
Qingling Zhang
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.3744
Subject(s) - convex optimization , control theory (sociology) , linear matrix inequality , upper and lower bounds , bounded function , robust control , mathematical optimization , lyapunov function , mathematics , computer science , norm (philosophy) , regular polygon , control system , control (management) , nonlinear system , quantum mechanics , artificial intelligence , law , political science , electrical engineering , engineering , mathematical analysis , physics , geometry
This paper studies the problem of robust H∞ guaranteed cost control for a class of time-varying uncertain continuous systems with both state and input delays. Suppose that the time-varying uncertain parameters are norm-bounded, but the matched conditions are not required to satisfy. A new sufficient condition of H∞ robust stabilization which satisfies guaranteed cost index is given for the systems by constructing the generalized Lyapunov function and taking the linear matrix inequality approach. Robust H∞ guaranteed cost controllers can be realized simply by solving the corresponding linear matrix inequalities so that a guaranteed cost function for the closed-loop systems has an upper bound irrespective of all admissible parameter uncertainties. Then, by iterative approach, the optimal robust H∞ guaranteed cost controllers can be obtained through the corresponding convex optimization. A numerical example is given to show the potential of the proposed technique.