Algebraic theory of linear feedback systems with full and decentralized compensators
This book presents a unified algebraic approach to the study of linear, time-invariant multi-input multi-output full feedback and decentralized feedback control systems that can be applied to continuous-time, discrete-time and lumped-parameters system models. The authors use a factorization approach which is based on ring theory; the algebraic tools needed in the book are collected in Chapter 2. Chapter 3 treats unity- feedback systems, i.e. standard multi-input multi-output feedback systems without restrictions on the compensator structure. A second configuration treated in the same chapter is a more general interconnection where the plant and the compensator have inputs and outputs that are not utilized in the feedback loop. Chapter 4 studies decentralized control structures where the compensators are constrained to have a block-diagonal structure. Two-channel decentralized control systems are first investigated; the results are then extended to multi-channel decentralized control systems. All systems considered are assumed to be completely described by their transfer matrices. The book can be particularly appreciated for the completeness of its content.
scientific article; zbMATH DE number 46527
scientific article