Title :
A descriptor system approach to H∞ control of linear time-delay systems
Author :
Fridman, E. ; Shaked, Uri
Author_Institution :
Dept. of Electr. Eng. Syst., Tel Aviv Univ., Israel
fDate :
2/1/2002 12:00:00 AM
Abstract :
The output-feedback H∞ control problem is solved for continuous-time, linear, retarded and neutral-type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying P. Park\´s inequality (1999) for bounding cross-terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter". The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory
Keywords :
H∞ control; continuous time systems; delay systems; feedback; linear systems; matrix algebra; Park´s inequality; bounding cross-terms; continuous-time systems; delay-dependent criteria; delayed measurements; descriptor model transformation; descriptor systems; descriptor time-delay innovation filter; instantaneous measurements; linear matrix inequalities; linear systems; linear time-delay systems; neutral-type systems; output-feedback H∞ control; polytopic parameter uncertainties; retarded systems; state-feedback solution; Aerospace control; Aircraft; Control systems; Delay effects; Delay systems; Filters; Linear matrix inequalities; Riccati equations; Stability; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
