Stabilization of large-scale Lurie systems based on comparison principle

This paper investigates the problem of robust state feedback stabilization for a family of uncertain Lurie nonlinear systems. To achieve global robust stabilization that reduces complex level, we introduce a comparison model to transfer the problem into stabilization of the comparison systems, which is of lower dimensions. We develop a robust feedback control scheme for composite uncertain Lurie systems. Under the systems’ controllable conditions, a stability condition is explored in form of M matrix. The construction of feedback controller uses the knowledge of the bounding systems only rather than the uncertain systems itself. Finally, a numerical example is provided to illustrate the results of the paper.