Title :
Less conservative D-stability test for polytopic systems using linearly parameter-dependent lyapunov functions
Author :
Lin, Chong ; Wang, Qing-Guo ; Lee, Tong H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore
Abstract :
The robust Dscr-stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result
Keywords :
Lyapunov methods; linear matrix inequalities; linear systems; robust control; uncertain systems; linear matrix inequalities; linearly parameter-dependent Lyapunov functions; matrix polytope; polytopic systems; polytopic uncertainty; robust D-stability test;
Journal_Title :
Control Theory and Applications, IEE Proceedings
