ABSTRACT

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.

chapter |2 pages

II SYSTEMS AND CONTROL BASIS

chapter 1|10 pages

Introduction

chapter 2|8 pages

Sets

chapter 3|20 pages

Systems

chapter 4|12 pages

Desired regime

chapter 5|6 pages

Origins of time-varying models

chapter |2 pages

III TRACKABILITY

chapter 6|4 pages

Trackability concept

chapter 7|4 pages

Perfect trackability concepts

chapter 8|8 pages

Perfect trackability criteria

chapter 9|4 pages

Perfect natural trackability criteria

chapter 10|10 pages

Imperfect trackability concepts

chapter 11|4 pages

Imperfect trackability criteria

chapter 12|4 pages

Imperfect natural trackability criteria

chapter |2 pages

Part IV: PERFECT TRACKING

chapter 13|4 pages

1 goal

chapter 14|4 pages

5 Tracking characterization and space

chapter 15|4 pages

Perfect tracking concept

chapter |2 pages

V IMPERFECT TRACKING: STABLE TRACKING

chapter 16|12 pages

Output space definitions

chapter 17|10 pages

State space definitions

chapter 18|6 pages

Set tracking

chapter |2 pages

VI CRITERIA FOR STABLE TRACKING

chapter 19|4 pages

Introduction

chapter 20|14 pages

Comparison and (semi)definite functions

chapter 21|16 pages

3 function induces sets

chapter 22|10 pages

Outline of the Lyapunov method

chapter 23|8 pages

Lyapunov method extended to tracking

chapter 24|16 pages

CLM: Motion and set tracking

chapter 25|6 pages

Time-varying set tracking

chapter |2 pages

VII FINITE REACHABILITYTIME TRACKING

chapter 26|16 pages

Output space definitions

chapter 27|10 pages

State space definitions

chapter 28|4 pages

Criteria on contractive sets

chapter 29|2 pages

Criteria on noncontractive sets

chapter 30|10 pages

FRT tracking control synthesis

chapter 31|2 pages

Natural tracking control concept

chapter 32|14 pages

Tracking quality: Output space

chapter 33|8 pages

Tracking algorithms: Output space

chapter 34|12 pages

NTC synthesis: Output space

chapter 35|10 pages

Tracking quality: State space

chapter 36|8 pages

Tracking algorithms: State space

chapter 37|10 pages

NTC synthesis: State space

chapter 38|8 pages

Tracking quality: Both spaces

chapter 39|6 pages

Tracking algorithms: Both spaces

chapter 40|8 pages

NTC synthesis: Both spaces

chapter |2 pages

Part IX: CONCLUSION

chapter 41|2 pages

Systems, control, tracking, trackability

chapter 42|4 pages

Lyapunov theory and tracking

chapter 43|2 pages

High quality tracking: Control synthesis

chapter |2 pages

X APPENDICES

chapter |20 pages

A Notation

chapter |6 pages

B Dini derivatives

chapter |22 pages

C Proofs for Part III

chapter |14 pages

Appendix D: Proofs for Part VII

chapter |2 pages

XI USED LITERATURE