Output feedback control of heterogeneous multi-agent systems with stochastic sampled-data

The importance of static output feedback (OPFB) design for aircraft control, process control, and elsewhere has been well documented since the 1960s, since full state measurements are not usually available in practical systems. This problem is compounded in the case of multi-agent systems (MASs) where each agent has its own state variable and measured outputs. Therefore, this paper will focus on OPFB control for discrete-time heterogeneous MASs with aperiodic sampled-date and propose a class of distributed communication protocols based on output regulation equations. More specifically, the sampling process is stochastic and it is modelled by a Markovian chain. With the aid of Markovian jump system method and Lyapunov stability theory, the OPFB control under stochastic sampling is shown to be solvable if some linear matrix inequalities are satisfied. Meanwhile, the control protocol design algorithm is designed by solving a set of linear matrix inequalities (LMIs). Finally, a simulation experiment is given to verify the effectiveness of the proposed design.