System modeling and control

System modeling and control

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Mathematical modeling of physical systems is given in this chapter. The methods for obtaining differential equations, simulation diagrams and state-space models of physical systems are studied. Runge-Kutta numerical solution method is discussed and user-based MATLAB® software is developed to show the meaning of controlling physical systems as one of the application areas of FL. The reader will be able to develop his/her own FLC code in MATLAB and MATLAB Simulink®. Examples of controlling electrical, mechanical and electromechanical systems will be given.

Chapter Contents:

  • 8.1 Introduction
  • 8.2 System modeling
  • 8.3 Modeling electrical systems
  • 8.4 Modeling mechanical systems
  • 8.4.1 Mechanical systems with linear motion
  • 8.4.2 Mechanical systems with rotational motion
  • 8.5 Modeling electromechanical systems
  • 8.5.1 Field subsystem
  • 8.5.2 Armature subsystem
  • 8.5.3 Mechanical subsystem
  • 8.5.4 Electromechanic interaction subsystem
  • 8.5.5 Modeling DC motors
  • Armature-controlled DC motor
  • 8.5.6 Modeling AC motors
  • 8.6 Problems
  • References

Inspec keywords: fuzzy control; state-space methods; Runge-Kutta methods; differential equations

Other keywords: FLC code; differential equations; state-space models; MATLAB® software; physical systems; Runge-Kutta numerical solution method; simulation diagrams; mathematical modeling

Subjects: Fuzzy control; Differential equations (numerical analysis); Control system analysis and synthesis methods

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