\(H^{\infty}\) performance of preview control systems
The performance of preview control is investigated in terms of an \(H^\infty\) criterion. In the infinite-horizon time setting, the limitation of \(H^\infty\) performance in preview control action is characterized with a Hamiltonian matrix. By employing the properties of Hamiltonian matrices, the solvability and analytic solution for the preview full-information control problem are clarified based on an auxiliary introduced matrix Riccati equation. A property of the resulting control law is illustrated with a numerical example.
scientific article; zbMATH DE number 1901010
scientific article