an:01815617
Zbl 1023.93055
Moon, Young Soo; Park, Poogyeon; Kwon, Wook Hyun; Lee, Young Sam
Delay-dependent robust stabilization of uncertain state-delayed systems
EN
Int. J. Control 74, No. 14, 1447-1455 (2001).
00088799
2001
j
93D21 93C23 90C25
robust stability; uncertain delay system; delay-dependent robust stabilization; convex optimization
For uncertain delayed system
\[
\dot{x}(t)=(A+DF(t)E)x(t)+(A_1+D_1F_1(t)E_1)x(t-h)+ (B+DF(t)E_{a})u(t),
\]
\[
x(t)=\Phi(t),\qquad t\in[-h,0],
\]
with various feedback controls:
\[
u(t)=Gx(t);u(t)=Gx(t)+G_1x(t-h);u(t)=Gx(t)+\int_{t-h}^{t}G_2(s)x(s) ds,
\]
delay-dependent robust stabilization conditions are obtained, respectively. A feedback control law is constructed by an algorithm based on convex optimization.
Tamaz Tadumadze (Tbilisi)