Delay-dependent \(H^\infty\) output feedback control for linear time-delay system (Q2744324)

Output feedback \(H^\infty\) control for the linear time-invariant delay system NEWLINE\[NEWLINE\begin{aligned} \dot x(t) & = Ax(t)+A_1x(t-\tau)+ B_1 w(t)+B_2u(t),\\ y & = C_1x(t)\\ z(t) & = C_2x(t)+D_2u(t)\\ x(t) & =\varphi(t),\;t\in[-\tau,0] \end{aligned}NEWLINE\]NEWLINE is studied by the standard dual Riccati equation approach. The feedback is delay dependent and is shown to improve on the conservative nature of the delay independent case.