Robust H∞ control for polytopic nonlinear control systems

This technical note develops a robust control storage function method for solving the H^∞ control problem of single-input polytopic nonlinear control systems. Necessary and sufficient conditions for verifying robust control storage functions are provided. Moreover, conditions for the existence of continuous robust H^∞ state feedback controllers are derived. An explicit formula for constructing continuous robust H^∞ controllers is presented. Finally, a numerical example is given for illustration.