Interconnection-Based Performance Analysis for a Class of Decentralized Controllers
Many real-world systems can be described by large-scale interconnected models . There is a great deal of interest in performance analysis and control synthesis of large-scale systems. A key practical consideration in designing a controller for this type of system is to rely on local information as much as possible. Decentralized control theory was introduced in the literature to address this consideration, and reduce the complexity of the control implementation for large-scale systems. Distinctive aspects of decentralized control systems have been well-documented in the last three decades [2, 3]. A decentralized controller consists of a number of isolated local controllers corresponding to the subsystems of the large-scale system. For the sake of simplicity of the control design problem, it is often desirable that the largescale system possesses a hierarchical structure [4, 5]. Note that a hierarchical model refers to an interconnected system whose subsystems can be renumbered in such a way that the corresponding transfer function matrix becomes lower block-triangular. The control design problem for a hierarchical system can be broken down into a number of parallel design subproblems corresponding to different subsystems. The advantage of such design techniques is twofold: the control design procedure is far simpler for a number of low-order subsystems compared to that for one high-order system, and at the same time parallel computation is very fast.
KeywordsHierarchical System Lyapunov Equation Local Controller Sylvester Equation Transfer Function Matrix
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