Control design for large-scale Lur’e systems with arbitrary information structure constraints

In this paper, an LMI-based approach is proposed for the design of static output feedback for multi-nonlinear Lur’e-Postnikov systems. The resulting control laws ensure absolute stability and, at the same time, maximize the size of the nonlinear sectors. The proposed method is computationally efficient, and can accommodate feedback laws with arbitrary information structure constraints. The effectiveness of this approach is demonstrated on a large-scale example with 100 state variables.