Synopses & Reviews
Structural properties play an important role in the understanding of linear systems and also provide insight to facilitate the solution of many control problems related to stabilization, disturbance decoupling, robust and optimal control. This monograph presents structural decompositions of various types of linear systems. Included throughout are MATLAB-based computational and design algorithms utilizing the Linear Systems and Control Toolbox.
Synopsis
Structural properties play an important role in our understanding of linear systems in the state space representation. The structural canonical form representation of linear systems not only reveals the structural properties but also facilitates the design of feedback laws that meet various control objectives. In particular, it decomposes the system into various subsystems. These subsystems, along with the interconnections that exist among them, clearly show the structural properties of the system. The simplicity of the subsystems and their explicit interconnections with each other lead us to a deeper insight into how feedback control would take effect on the system, and thus to the explicit construction of feedback laws that meet our design specifications. The discovery of structural canonical forms and their applications in feedback design for various performance specifications has been an active area of research for a long time. The effectiveness of the structural decomposition approach has also been extensively explored in nonlinear systems and control theory in the recent past. The aim of this book is to systematically present various canonical represen tations of the linear system, that explicitly reveal different structural properties of the system, and to report on some recent developments on its utilization in sys tem analysis and design."
Synopsis
This text is the first comprehensive treatment of structural decompositions of various types of linear systems, including autonomous, unforced or unsensed, strictly proper, non-strictly proper, and descriptor or singular systems. Structural properties play an important role in the understanding of linear systems, and also provide insight to the solution of many control problems related to stabilization, disturbance decoupling, robust and optimal control with applications to industrial process control, aircraft and ship control, process automation control, and many other types of engineering systems.
Exercises, examples, cases studies, and MATLAB-based computational and design algorithms make the work suitable as a textbook for undergraduate and graduate students in aeronautics and astronautics, applied mathematics, chemical, electrical and mechanical engineering. It may also serve as a valuable self-study reference for researchers and engineering practitioners in areas related to systems and control theory.
Synopsis
Includes MATLAB-based computational and design algorithms utilizing the "Linear Systems Toolkit." All results and case studies presented in both the continuous- and discrete-time settings.
Table of Contents
Introduction and Preview Mathematical Background Review of Linear Systems Theory Decompositions of Unforced and/or Unsensed Systems Decompositions of Proper Systems Decompositions of Descriptor Systems Structural Mappings of Bilinear Transformations System Factorizations Structural Assignment via Sensor/Actuator Selection Time-Scale and Eigenstructure Assignment via State Feedback Disturbance Decoupling with Static Output Feedback A Software Toolbox Bibliography Index