Delay-dependent robust stabilization of uncertain state-delayed systems. (English) Zbl 1023.93055

Moon, Young Soo; Park, Poogyeon; Kwon, Wook Hyun; Lee, Young Sam

Int. J. Control 74, No. 14, 1447-1455 (2001).

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.

Reviewer: Tamaz Tadumadze (Tbilisi)

MSC:

93D21	Adaptive or robust stabilization
93C23	Control/observation systems governed by functional-differential equations
90C25	Convex programming

Keywords:

robust stability; uncertain delay system; delay-dependent robust stabilization; convex optimization