Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

Fundamental periodic control

Fundamental periodic control

For access to this article, please select a purchase option:

Buy chapter PDF
£10.00
(plus tax if applicable)
Buy Knowledge Pack
10 chapters for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
Periodic Control of Power Electronic Converters — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The internal model principle (IMP) states that perfect asymptotic rejection/tracking of persistent inputs can only be attained by replicating the signal generator in a stable feedback loop [1]. The signal generator is also called “internal model”of the inputs. W. M. Wonham summarized IMP as “Every good regulator must incorporate a model of the outside world.”Based on IMP [1,2], this chapter presents the fundamental periodic controllers for providing zero steady-state error compensation for periodic signals and elaborates their general design methodology. These IMP-based periodic controllers include repetitive control (RC) [3-21], multi-resonant control (MRSC) [22-34], and discrete Fourier transformation (DFT)-based RC [26,35-36]. The general design methodology comprises a standard internal model for periodic signals and the synthesis methods for universal plug-in structure periodic control (PC) systems. The relationship among these three fundamental periodic controllers will also be demonstrated.

Chapter Contents:

  • Abstract
  • 2.1 Repetitive control (RC)
  • 2.1.1 Internal model of any periodic signal
  • 2.1.2 Classic RC scheme
  • 2.1.3 Digital RC system and design
  • 2.1.3.1 Steady-state error
  • 2.1.3.2 Asymptotic convergence rate
  • 2.1.3.3 Stability criteria
  • 2.1.3.4 Zero-phase compensation design
  • 2.1.3.5 Linear phase-lead compensation design
  • 2.1.4 Two alternative RC schemes
  • 2.2 Multiple resonant control (MRSC)
  • 2.2.1 Internal models of harmonics
  • 2.2.2 MRSC scheme
  • 2.2.3 Digital MRSC system and design
  • 2.2.3.1 Steady-state error
  • 2.2.3.2 Stability criteria
  • 2.2.3.3 Zero-phase compensation design
  • 2.2.4 RSC - Generalized integrator for sinusoidal signals
  • 2.3 Discrete Fourier transform (DFT)-based RC
  • 2.3.1 DFT-based internal model of interested harmonics
  • 2.3.2 DFT-based RC scheme
  • 2.3.3 DFT-based RC system and design
  • 2.3.4 Modified DFT-based RC scheme
  • 2.4 Basis function
  • 2.5 Summary
  • References

Inspec keywords: periodic control; signal generators; stability; signal processing; control system synthesis; closed loop systems; Fourier transforms; feedback; machine control; error compensation

Other keywords: discrete Fourier transformation; RC; IMP; repetitive control; zero steady-state error compensation; multiresonant control; signal generator; internal model principle; MRSC; stable feedback loop; general design methodology; DFT; fundamental periodic control; periodic signals; universal plug-in structure

Subjects: Stability in control theory; Integral transforms; Control of electric power systems; Integral transforms; Signal generators; Control system analysis and synthesis methods; Optimal control; Signal processing theory; Signal processing and detection

Preview this chapter:
Zoom in
Zoomout

Fundamental periodic control, Page 1 of 2

| /docserver/preview/fulltext/books/po/pbpo082e/PBPO082E_ch2-1.gif /docserver/preview/fulltext/books/po/pbpo082e/PBPO082E_ch2-2.gif

Related content

content/books/10.1049/pbpo082e_ch2
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address