The book addresses its content to control and systems science and engineering professors, researchers, Ph.D. and graduate students, designers, as well as to applied mathematicians and researchers and engineers dealing with dynamics and linear mathematical modeling of technical plants and processes. The primary purpose of control is to force the behavior in an unpredictable environment (under the actions of unknown and possibly immeasurable disturbances and unpredictable, hence most probably non-zero, initial conditions). This means that a kind of tracking is the key property that should characterize the control system. Surprisingly, tracking theory has not been well developed, and it is stability theory that has been dominating. However, stability and tracking are mutually independent. This book sets up the fundamentals of tracking theory for the control systems. Various tracking properties defined in the book express different tracking qualities.
Preface
Part I : On Control Systems Classic Fundamentals
Chapter 1 : Introduction
Chapter 2 : Control Systems
Chapter 3 : System Regimes
Chapter 4 : Transfer Function Matrix G(s)
Part II : Novel System Fundamental: Full Transfer Function Matrix F(S)
Chapter 5 : Problem Statement
Chapter 6 : Nondegenerate Matrices
Chapter 7 : Full Transfer Function Matrix F(s)
Part III : Novel Control Theories: Tracking and Trackability
Chapter 8 : Tracking Theory
Chapter 9 : Trackability Theory
Part IV : Novel Synthesis of Tracking Control
Chapter 10 : Linear Tracking Control (LITC)
Chapter 11 : Lyapunov Tracking Control (LTC)
Chapter 12 : Natural Tracking Control (NTC)
Chapter 13 : NTC versus LTC
Conclusion
Appendixes
Notation
From IO system to ISO system
From ISO system to IO system
Proof of Theorem 64
Proof of Theorem 67
Proof of Theorem 72
Proof of Theorem 91
Proof of Lemma 102-Basic Lemma
Proof of Theorem 116
Proof of Theorem 142
Proof of Theorem 145
Proof of Theorem 149
Author Index
Subject Index
