\(H^\infty\) controller reduction for nonlinear systems
Sufficient conditions are proposed for the existence of reduced-order (fixed-order) controllers solving the standard nonlinear \(H^\infty\) output feedback control problem.NEWLINENEWLINENEWLINEState-space formulas for such reduced-order \(H^\infty\) controllers are also derived in terms of the solutions to two Hamilton-Jacobi inequalities. The development uses only elementary concepts of dissipativity and differential game, thus the proofs given are simple and clear.
scientific article; zbMATH DE number 1679967