ABSTRACT
This chapter studies the consensus disturbance rejection problem for multiple-input multiple-output linear complex network systems subject to non-vanishing disturbances. This chapter begins by overviewing some previous works and by indicating our motivations. Section 4.2 presents the models and proposes an unknown input observer based on the relative outputs among neighboring agents. Section 4.3 studies the case with static coupling and directed switching communication topologies. By using the multiple Lyapunov function technique, it is shown that consensus is achieved and the disturbances are fully rejected. Section 4.4 studies the case with dynamic couplings and directed fixed topology. As the control parameters do not depend on any global information, so the obtained consensus disturbance rejection is fully distributed. Finally, some simulations are given to validate the obtained theoretical results.
