Finite-dimensional characterizations of \(H_{\infty}\) control for linear systems with delays in input and output. (English) Zbl 1022.93013
The paper considers the \(H_{\infty}\) control of
\[
\begin{aligned} \dot{x} &= Ax(t) + Gw_{1}(t) + B_{2,0}u(t) + B_{2,1}u(t-h),\\ z(t)&= \text{col}( F_{0}x(t) + \int_{-h}^{0}F_{1}(\beta)B_{2,1}u(t+\beta)d\beta , u(t)),\\ y &= C_{2}x + w_{2}(t), \end{aligned}
\]
which allows a finite dimensional solution. This solution is discussed together with the standard infinite dimensional one.
Reviewer: Vladimir Răsvan (Craiova)
MSC:
| 93B36 | \(H^\infty\)-control |
| 93C23 | Control/observation systems governed by functional-differential equations |
Keywords:
linear time delay system; input delay; output delay; finite dimensional compensator; \(H_{\infty}\) controlReferences:
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