Distributed control of interconnected dynamic systems with random link failures

This paper considers the problem of designing distributed controller for interconnected dynamic systems with random link failure. Links are considered as independent random processes and the overall interconnected system is modeled as a linear discrete-time system with multiplicative random coefficients. A distributed control algorithm which uses only local and available neighboring information is proposed to stabilize the system in mean-square sense. To characterize system performance, we also provide a sufficient condition for designing stabilizing distributed controller that ensures prescribed disturbance attenuation in L₂ gain sense. The design is carried out using linear matrix inequalities (LMIs). A simple numerical example is included to support the theoretical results.