Tracking Control of Linear Systems

The primary purpose of control is to force desired behavior in an unpredictable environment, under often-arbitrary disturbances and initial conditions. Thus tracking and tracking control synthesis are fundamental control issues. Surprisingly, however, tracking theory has not been well developed, and stability theory has dominated. This book presents the fundamentals of tracking theory for control systems. It introduces the full transfer function matrix, which changes the theory of linear dynamical and control systems and enables a novel synthesis of tracking control that works more effectively in real conditions.

Gruyitch, Lyubomir T.

On Control Systems Classic Fundamentals: Introduction. Control Systems. System Regimes. Transfer Function Matrix G(s). Novel System Fundamental: Full Transfer Function Matrix F(S): Problem Statement. Nondegenerate Matrices. Full Transfer Function Matrix F(s). Novel Control Theories: Tracking and Trackability: Tracking Theory. Trackability Theory. Novel Synthesis of Tracking Control: Linear Tracking Control (LITC). Lyapunov Tracking Control (LTC). Natural Tracking Control (NTC). NTC versus LTC. Conclusion: On F(s). On Tracking and Trackability. On Tracking Control. Recommendation. 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.