Design of reduced-order $H^\infty$ controllers for nonaffine nonlinear systems

Abstract

Sufficient conditions are proposed for the existence of reduced-order (fixed-order) controllers solving the $H^\infty$ control problem for nonaffine nonlinear systems. State-space formulas for such reduced-order $H^\infty$ controllers are also derived in terms of the solutions to two standard Hamilton-Jacobi-Isaacs partial differential inequalities.