H/sub /spl infin// control and parametric controllers for descriptor systems
Tóm tắt
In this paper, we study the existing problem of an H/sub /spl infin// controller for descriptor systems. One necessary and sufficient condition is presented by means of two generalized algebraic Riccati inequalities. Using the method of linear fractional transformation, the controller is parametrized by the admissible solutions to the Riccati inequalities with free parameter Q, a real-rational stable transfer matrix with an H/sub /spl infin// norm less than a specified number.
Từ khóa
#Control systems #Riccati equations #Sufficient conditions #Linear matrix inequalities #Control theory #Educational institutions #Control system synthesis #Modeling #Constraint theory #Robust controlTài liệu tham khảo
10.1080/002071798221678
10.1016/0167-6911(88)90080-1
zhou, 1996, Robust and Optimal Control
takaba, 1994, H? control for descriptor systems a J-spectral factorization approach, Proc 33rd IEEE Conference on Decision and Control Lake Buena Vista FL, 2251
wang, 1998, Bounded real lemma and H? control for descriptor systems, IEE Proc -Control Theory Appl, 145, 316, 10.1049/ip-cta:19982048
10.1002/rnc.4590040403
gahinet, 1992, A convex parametrization of suboptimal H? controllers, IEEE Conference on Decision and Control Tucson AZ U S A, 937
10.1109/9.29425
10.1109/ACC.1999.783577
10.1016/S0005-1098(96)00193-8
iwasaki, 1994, All controllers for the general control problem: LMI existence conditions and state space formulas, Automatic, 30, 1307, 10.1016/0005-1098(94)90110-4
10.1016/0167-6911(88)90055-2
gahinet, 1994, Low-order H? synthesis via LMIs, Proc America Control Conf Baltimore MD, 1449
qing, 1998, Robust stabilization of singular systems with H?-bounded uncertainty, Proceedings of the American Control Conference (Hua12), 2725
10.1016/0005-1098(96)00033-7