Abstract

With the advancement of science and technology, practical systems are becoming more complex. Decentralised control has been recognised as a practical, feasible and powerful tool for application to large scale interconnected systems. In this paper, past and recent results relating to decentralised control of complex large scale interconnected systems are reviewed. Decentralised control based on modern control approaches such as variable structure techniques, adaptive control and backstepping approaches are discussed. It is well known that system structure can be employed to reduce conservatism in the control design and decentralised control for interconnected systems with similar and symmetric structure is explored. Decentralised control of singular large scale systems is also reviewed in this paper.

Highlights

  • In the real world, there are a number of systems which can be modelled as dynamical equations composed of interconnections between a collection of lower-dimensional subsystems

  • Many control approaches have been applied to large scale interconnected systems to form decentralised control schemes

  • As for the dynamical/observer-based feedback control, the results developed usually have higher robustness and lower conservatism when compared with static output feedback because for dynamical output feedback, the output information can be employed in the design but the dynamical information can be employed

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Summary

Introduction

There are a number of systems which can be modelled as dynamical equations composed of interconnections between a collection of lower-dimensional subsystems Such classes of systems are called large-scale interconnected systems, which are often widely distributed in space (Lunze, 1992; Mahmoud, 2011; Sandell et al, 1978). A recent survey paper (Bakule, 2008) has covered several decomposition approaches such as disjoint subsystems, overlapping subsystems, symmetric composite systems, multi-time scale systems and hierarchically structured systems to simplify the analysis and synthesis tasks for large-scale systems to reduce the computation complexity. Some interesting/open issues will be highlighted for future discussion

Fundamental concept
Decentralised schemes based on modern control approach
Decentralised variable structure control
Decentralised adaptive control
Backstepping approach-based decentralised control
System structure-based decentralised control
Decentralised control of singular systems
Applications
Conclusions

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