Decentralized design of feedback control for large-scale systems
Lubomı́r Bakule, Jan Lunze · Czech digital mathematics library · 1988
Feedback control of large-scale interconnected systems necessitates the decentralization of both the on-line and the design tasks.Whereas the properties of decentralized control systems have been investigated extensively, the decentralization of the design process has been the subject of only a few papers.Decentralization of the design task means that the whole design problem is divided into several 'weakly' interconnected subproblems that are solved independently.In contrast to hierarchical algorithms, no complete coordination is carried out to compensate the interdependencies between these subproblems and their solutions.This paper surveys and extends the recent results concerning decentralized design of decentralized controllers.First, several concepts for decomposing the overall system into weakly coupled subsystems are described.They form the basis of the different principles for decentralizing the design process.These principles concern the design for hierarchically decomposed systems, sequential design methods, the design on the basis of disjoint or overlapping decomposition of the plant model, the design for singularly perturbed systems, the decentralization of the design on the basis of symmetry properties of the plant, and specific design methods for decentralized Pi-controllers.For each of these methods the main principle is described and summarized in theorems and algorithms.Extensions are surveyed and relevant literature is given.Most of the design ideas are illustrated by means of numerical examples.