Nonlinear Systems Tracking

Lyubomir T. Gruyitch

January 6, 2016 by CRC Press
Reference - 478 Pages - 16 B/W Illustrations
ISBN 9781498753258 - CAT# K27341

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  • Covers a very large class of time-varying nonlinear systems that incorporate the any-order input-output systems and those determined by the classical state-space description
  • Presents new theories and concepts that begin by defining new system and control properties and end with the criteria or with the conditions on the system
  • Solves the problem of achieving the tracking control task whatever the physical (biological, chemical, economical, electrical, electromechanical, mechanical, or social) nature of the plant
  • Addresses the dynamical and control problems caused by the complexity of the system
  • Uses the new simple vector and matrix notation analogous to the scalar notation


Tracking is the goal of control of any object, plant, process, or vehicle. From vehicles and missiles to power plants, tracking is essential to guarantee high-quality behavior.

Nonlinear Systems Tracking establishes the tracking theory, trackability theory, and tracking control synthesis for time-varying nonlinear plants and their control systems as parts of control theory. Treating general dynamical and control systems, including subclasses of input-output and state-space nonlinear systems, the book:

  • Describes the crucial tracking control concepts that comprise effective tracking control algorithms
  • Defines the main tracking and trackability properties involved, identifying properties both perfect and imperfect
  • Details the corresponding conditions needed for the controlled plant to exhibit each property
  • Discusses various algorithms for tracking control synthesis, attacking the tracking control synthesis problems themselves
  • Depicts the effective synthesis of the tracking control, under the action of which, the plant behavior satisfies all the imposed tracking requirements resulting from its purpose

With clarity and precision, Nonlinear Systems Tracking provides original coverage, presenting discovery and proofs of new tracking criteria and control algorithms. Thus, the book creates new directions for research in control theory, enabling fruitful new control engineering applications.


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