This paper analyzes the structural controllability of distributed systems, which are composed of many subsystems and have complicated interconnections. Different from traditional methods in centralized systems where global information is required, the method proposed in this paper is based on local structural properties and simplified interconnections, by which the computational burden is highly decreased and the implementation is tractable. Moreover, a necessary condition for global structural controllability is obtained by combining local information. When the structure in any subsystems is changed, only corresponding local information needs to be re-evaluated instead of whole distributed systems, which makes the analysis easier. Finally, examples are given to illustrate the effectiveness of our proposed method.
structural controllability distributed systems subsystems structure changes graph theory
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This work was supported by National Nature Science Foundation of China (Grant Nos. 61233004, 61590924, 61473184).
Blackhall L, Hill D J. On the structural controllability of networks of linear systems. In: Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems, Annecy, 2010. 245–250Google Scholar
Liu Y Y, Slotine J J, Barabási A L. Controllability of complex networks. Nature, 2011, 473: 167–173CrossRefGoogle Scholar
Maza S, Simon C, Boukhobza T. Impact of the actuator failures on the structural controllability of linear systems: a graph theoretical approach. IET Control Theory A, 2012, 6: 412–419CrossRefMathSciNetGoogle Scholar
Christofides P D, Scattolini R, de la Pena D M, et al. Distributed model predictive control: a tutorial review and future research directions. Comput Chem Eng, 2013, 51: 21–41CrossRefGoogle Scholar
Negenborn R R, Maestre J M. Distributed model predictive control: an overview and roadmap of future research opportunities. IEEE Contr Syst Mag, 2014, 34: 87–97CrossRefMathSciNetGoogle Scholar
Egerstedt M, Martini S, Cao M, et al. Interacting with networks: how does structure relate to controllability in single-leader, consensus networks? IEEE Contr Syst Mag, 2012, 32: 66–73CrossRefMathSciNetGoogle Scholar
Chen G R. Problems and challenges in control theory under complex dynamical network environments. Acta Automat Sin, 2013, 39: 312–321CrossRefGoogle Scholar
Yuan Z Z, Zhao C, Di Z R, et al. Exact controllability of complex networks. Nat Commun, 2013, 4: 2447Google Scholar