Title :
HPLF-based robust stability criteria for uncertain continuous-time linear systems
Author :
Wang Yantao ; Zhang Xian ; Wang Xin
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
Abstract :
New sufficient conditions for the robust stability of continuous-time linear systems with the norm-bounded additive/ multiplicative uncertainty are proposed. These criteria are based on the feasibility test of a set of linear matrix inequalities (LMIs) obtained from homogeneous polynomial Lyapunov functions (HPLFs). It is shown that these proposed criteria are less conservative than those obtained by using common quadratic Lyapunov functions, which is also verified by numerical examples.
Keywords :
Lyapunov methods; continuous time systems; linear matrix inequalities; robust control; uncertain systems; HPLF-based robust stability criteria; LMI; homogeneous polynomial Lyapunov functions; linear matrix inequalities; multiplicative uncertainty; norm bounded additive uncertainty; uncertain continuous time linear systems; Linear systems; Lyapunov method; Robust stability; Robustness; Stability analysis; Symmetric matrices; Uncertainty; Homogeneous Polynomial Lyapunov Functions; LMIs; Robust Stability;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
