|Simultaneous Stability of Large-scale Systems via Distributed Control Network with Partial Information Exchange
Yanfei Zhu, Fuwen Yang*, Chuanjiang Li, and Yilian Zhang
International Journal of Control, Automation, and Systems, vol. 16, no. 4, pp.1502-1511, 2018
Abstract : "This paper is concerned with the simultaneous stability of the multi-mode large-scale systems composed
of the interaction subsystems. A novel distributed control network consisting of multiple network-based controllers
with the partial information exchange is adopted to simultaneously stabilize the large-scale systems in multiple operation
modes. In the distributed control network (DCN), a partial state information exchange approach is developed
to save the real-time communication and computation resources. To compensate for the effects of dynamic couplings
between interaction subsystems, the designed controllers use both the local states and the neighbors’ partial
information with packet dropouts for local feedback design. Then, a series of Lyapunov functions are constructed
to derive a matrix-inequality-based sufficient condition for the existence of the desired controllers. Based on an
orthogonal complement technique, the gains of the controllers in DCN are parameterized. The iterative algorithm
for the solution of simultaneous stabilization problem is also developed. Finally, a numerical example is performed
to show the relevant feature of the proposed method."
"Distributed control network, multi-mode large-scale systems, orthogonal complement, partial state information, simultaneous stability."