Title :
H∞ control for a class of descriptor systems with uncertainties in the derivative matrix
Author :
Lin, Chong ; Wang, Jianliang ; Yang, Guang-hong
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
This paper considers the problem of H∞ control for descriptor systems with the derivative matrix being subjected to norm-bounded perturbations. The analysis shows that, if the problem has a solution under some assumption, the uncertainty falls only into two particular structures. For the first structure, necessary and sufficient conditions are given in terms of the so-called quadratic admissibility with H∞ performance γ by using LMI approach. For the other structure, a sufficient condition and necessary condition are given. Numerical examples are given to illustrate the use of the results
Keywords :
H∞ control; continuous time systems; linear systems; matrix algebra; state feedback; transient response; uncertain systems; H∞ control; continuous time systems; derivative matrix; descriptor systems; impulse behaviour; linear matrix inequality; necessary condition; perturbations; state feedback; sufficient condition; uncertain systems; Control systems; Control theory; Eigenvalues and eigenfunctions; Linear matrix inequalities; Output feedback; Riccati equations; Robust control; State feedback; Sufficient conditions; Uncertainty;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.782392
