| Summary: | A large scale interconnected system consists of several subsystems that interact dynamically with one another through an interconnection network. Because of the constraints on information flow, a decentralized control system usually provides a more practical control solution than a centralized control system. Previous studies on the control of large scale interconnected systems often ignore the important issue of modelling uncertainties in the subsystems and the interconnection dynamics, and thus result in control systems that are inadequate. This thesis develops a design procedure for designing decentralized control systems to achieve robust performance of large scale interconnected systems. Based on a set of subsystem interface specifications, the global design problem is first decomposed into a set of subsystem design problems. Each subsystem then attempts to solve the subsystem problems independently. The decomposition procedure has the property that if all the subsystem design problems are solved, then the original global system design problem is also solved. A number of issues arise from the decentralized design procedure: the problem of interface selection; the problem of robust performance characterization for systems with external signals which are modelled using independent bounds on subsets of the signals (component bounded signals); and the problem of selecting a single compensator to simultaneously satisfy the design objectives for each of several design models (multiple design models). The first issue arises from the problem decomposition procedure. In the context of this thesis, the latter two issues arise from the solution of the subsystem design problems. In addition, these problems can arise from other practical problem formulation and are of interest in their own right. These issues have been addressed in this thesis, and solution or algorithmic approaches have been provided.
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