Simultaneous stabilisation for distributed networked multimode control systems with multiple packet dropouts

This study is concerned with the simultaneous H ∞ stabilisation problem for a physically interconnected large‐scale system working in multiple operation modes. A distributed networked control framework is developed. The network‐based distributed DOF controllers are designed, which use not only the local measurements but also the neighbouring controllers' broadcasts. The designed controllers guarantee the mean‐square stability of the large‐scale system in multiple operation modes, and achieve the prescribed H ∞ disturbance attenuation level. Furthermore, the consecutive packet dropouts that occur in multiple communication channels (from the local sensor to the local controller, from the neighbouring controllers to the local controller, and from the local controller to the local actuator) are considered. Based on a stochastic control approach and an orthogonal complement space technique, a sufficient condition for the existence of the simultaneous H ∞ stabilisation controllers is provided, and a parameterisation of the controller gains is derived. An iterative LMI algorithm is established to seek a feasible solution. Finally, a numerical simulation example is exploited to illustrate the validity of the proposed scheme.