Abstract
Hierarchical control method which is based on a hierarchical architecture has been developed to be mainly aimed at large-scale complex systems. In order to analyse and control this kind of systems, we construct first an appropriate and low-dimensional abstract system, then synthesise and lift the control law from the obtained abstraction to the original system. As far as the linear systems with uncertain terms are concerned, this paper studies the robust control problem of high-dimensional uncertain linear systems and derives the results by employing hierarchical control method. Furthermore, the LMI toolbox is allowed to be used for the computation of interface functions. Finally, our method framework is illustrated on a five-dimensional uncertain linear system.
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