Reduced-order \(H^\infty\) controller design -- an algebraic Riccati equation approach
An algebraic Riccati equation (ARE) approach to the reduced-order \(H^{\infty }\) controller design problem is proposed. It is shown that the order of \(H^{\infty }\) controller can be reduced to \(r\), where \(r\) is the rank of the stabilizing solution \(W_{\infty }\) to an ARE in \(W\) developed by \textit{I. R. Petersen, B. D. O. Anderson} and \textit{E. A. Jonckheere} [Int. J. Robust Nonlinear Control 1, 171-185 (1991; Zbl 0759.93027)]. State-space formulas for the reduced-order \(H^{\infty }\) controller design are also given in terms of the stabilizing solution to the two standard \(H^{\infty }\) AREs.
scientific article; zbMATH DE number 1443881