Sampled-Data H∞ Control for High-Order Fully Actuated Systems Based on A Local Lipschitz Condition

In this paper, the sampled-data H
∞
control problem of a nonlinear high-order fully actuated system is investigated. Based on the full-actuation feature of the system, the sampled-data form of a high-order fully actuated controller is constructed. Using the looped functional method, a local Lipschitz condition is introduced to derive some solvable criteria of H
∞
performance analysis and control design in terms of linear matrix inequalities, respectively. A numerical example concerning vehicle steering control is provided for the control method verification.