Professional Educational Seminars

As digital control of PWM converters is turning to be more relevant, the need for effective and convenient design procedures for digital compensators is becoming apparent. The conventional techniques of digital controller design for switching systems are mostly based on the frequency domain. On the other hand, digital compensators operate in the sampled-data domain. In as much that there is a theoretical relationship between the frequency domain and the sampled-data domain (via the various transformation algorithms), a digital compensator operates, in reality, in the time domain and the notions of phase margin, bandwidth and the like are alien to the finite difference equation algorithm that is implemented on the digital platform. Thus, it would be high beneficial to have design methods that are dedicated especially for digital control and do not go around various domains, transformations and approximations.

This seminar covers the basics of feedback loop design of PWM converters for analog and digital feedback. It discusses the basic theory and design methods that can be used to close the loop in switch mode systems. The seminar addresses the design of analog feedback control as well as digital control. The advantages and limitation of each approach will be delineated in relation to present day technology.

The aspects of digital controller design for PWM converter will be covered, including a newly developed time domain based design method and digital system identification. The seminar discusses the conceptual terminology of time-domain attributes, control strategy and practical aspects for realization of such techniques.

The issues to be discussed will be supported by design examples and the resulting responses will be demonstrated by simulation.


The seminar is of intermediate level intended for novices and experienced engineers.


Seminar Outline


  1. Introduction (25 min)

       Basics of feedback theory and graphical representation

       Block diagram

       Behavior at large and small LoopGains

       Graphical representation of the LoopGain

    • Bode plane - the  Aol, 1/B plots

       Relationship between LoopGain and dynamic response

       Overshoot and Q

       Output impedance

  1. PWM converters as feedback systems (10 min)

       Block diagram

       What is Aol, what is Beta

       Response in closed-loop

  1. Analog feedback networks (15 min)

       Shaping Beta

       The lag-lead network

       The double zero network

  1. Digital feedback (30 min)

       Survey Analog vs. Digital

       Block diagram

       Discrete control

       S to z transformation

       The delay issue

       A/D and Modulator resolutions

       Frequency response design

       Design using the SISO tool

  1. New time-domain digital controller design (50 min)


       The approach ideal compensator

       Local response vs. complete response

       Closed-loop response in time-domain terms

       Template-oriented controller

       Design examples

  1. System identification of PWM converters (50 min)

       What is system identification

       Parametric and non-parametric identification

       Correlation-based method

       Concept and motivation for time-domain identification

       Generalized open-loop response of basic PWM topologies

        Simulation-based ID

       Identification of practical (switching) PWM system

       Design examples

  1. Q&A


Control Design of PWM Converters: The User Friendly Approach

Computer Aided Analysis and Design

of Single Phase APFC Stages


Feedback Design in Operational Amplifiers and  PWM Converters:

The User Friendly Approach


Fundamentals of PWM Converters


Introduction to CMOS Operational Amplifiers


Control Design of PWM Converters:

 The Intuitive Approach


Fundumentals of PWM Converters


Computer Aided design of Power Factor Correction Systems


Power Electronics of Piezoelectric Elements

Introduction to Power Management for Portables

Dynamics and Stability of Switch Mode Converters

Modern Soft Switched Converter Topologies


Control Design of PWM Converters: The User Friendly Approach

Switched Capacitors Converters


Essentials of Switch Mode Converters


מגברי שרת מודרניים

Power Electronics of Piezoelectric Elements


Digital Control Design of PWM Converters: The Time-Domain Approach