Title :
H∞ analysis and controller synthesis via a descriptor system approach
Author :
Peng, Cheng ; Cao Yongyan ; Youxian, Sun
Author_Institution :
State Key Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou
Abstract :
The problem of Hinfin analysis and synthesis of linear uncertain systems is addressed via parameter-dependent Lyapunov functions. The polyqudratic Hinfin stability as well as the affine quadratic Hinfin stability is defined, and the corresponding sufficient conditions of LMI form are derived based on a descriptor system approach. By refraining the slack matrices, Hinfin state feedback controllers could also be constructed by LMI constraints. The effectiveness is demonstrated by a numerical example.
Keywords :
Hinfin control; Lyapunov methods; control system analysis; control system synthesis; linear matrix inequalities; linear systems; stability; state feedback; uncertain systems; Hinfin analysis; Hinfin state feedback controllers; LMI constraints; affine quadratic Hinfin stability; controller synthesis; descriptor system approach; linear uncertain systems; parameter-dependent Lyapunov functions; polyqudratic Hinfin stability; slack matrices; Continuous time systems; Control system analysis; Control system synthesis; Electrical equipment industry; Industrial control; Lyapunov method; Robust stability; State feedback; Sufficient conditions; Sun; Affine Parameter Systems; Descriptor Systems; H∞ Synthesis; Parameter-dependent Lyapunov Functions; Polytopic Systems; Robust Performance Analysis;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605432
