Title :
Robust H∞ performance for linear delay-differential systems with time-varying uncertainties
Author :
Kokame, H. ; Kobayashi, Hideo ; Mori, Takayoshi
Author_Institution :
Dept. of Electr. & Electron. Syst., Osaka Prefecture Univ.
fDate :
2/1/1998 12:00:00 AM
Abstract :
The present paper concerns robust H∞ performance for linear delay-differential systems which involve an uncertain time delay and time-varying norm-bounded parameter uncertainties. Based on the Lyapunov functional, a simple criterion is proposed which assures the pseudo-quadratic stability as a well as an H∞-norm bound. The criterion is given in the form of a linear matrix inequality which is affine or convex in additional scalar parameters. A simple criterion is presented to evaluate the extent of the performance robustness
Keywords :
H∞ control; Lyapunov methods; delay systems; delay-differential systems; matrix algebra; robust control; time-varying systems; uncertain systems; H∞-norm bound; LMI; Lyapunov functional; linear delay-differential systems; linear matrix inequality; pseudo-quadratic stability; robust H∞ performance; time-varying norm-bounded parameter uncertainties; uncertain time delay; Control systems; Delay effects; Delay lines; Delay systems; H infinity control; Linear matrix inequalities; Robust control; Robustness; Time varying systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
