Tracking Control of Linear Systems

Lyubomir T. Gruyitch

May 29, 2013 by CRC Press
Reference - 423 Pages - 22 B/W Illustrations
ISBN 9781466587519 - CAT# K20348

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  • Introduces the full transfer function matrix, which is a crucial complex domain characteristic of linear dynamical and control systems that can be used under arbitrary inputs and initial conditions
  • Establishes the new fundamentals of the complex domain theory of linear dynamic and control systems
  • Shows how the full transfer function matrix enables you to synthesize control of linear systems to work more effectively in real environments
  • Discusses tracking and trackability fundamentals and their significance for control synthesis
  • Presents novel, sophisticated approaches and methods for tracking control design
  • Includes theorem proofs in the appendices


The primary purpose of control is to force desired behavior in an unpredictable environment, under the actions of unknown, possibly unmeasurable disturbances and unpredictable, and therefore probably nonzero, initial conditions. This means that tracking and tracking control synthesis are fundamental control issues. Surprisingly, however, tracking theory has not been well developed, and stability theory has dominated. Tracking Control of Linear Systems presents the fundamentals of tracking theory for control systems. The book introduces the full transfer function matrix F(s), which substantially changes the theory of linear dynamical and control systems and enables a novel synthesis of tracking control that works more effectively in real environments.

An Introduction to the New Fundamentals of the Theory of Linear Control Systems

The book begins by re-examining classic linear control systems theory. It then defines and determines the system full (complete) transfer function matrix F(s) for two classes of systems: input-output (IO) control systems and input-state-output (ISO) control systems. The book also discusses the fundamentals of tracking and trackability. It presents new Lyapunov tracking control algorithms and natural tracking control (NTC) algorithms, which ensure the quality of the tracking under arbitrary disturbances and initial conditions. This natural tracking control is robust, adaptable, and simple to implement.

Advances in Linear Control Systems Theory: Tracking and Trackability

This book familiarizes readers with novel, sophisticated approaches and methods for tracking control design in real conditions. Contributing to the advancement of linear control systems theory, this work opens new directions for research in time-invariant continuous-time linear control systems. It builds on previous works in the field, extending treatment of the system transfer functions, stability issues, the plant–control relationship, and control synthesis.


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