**Control Systems Introduction**__Fundamentals__- Feedback Controllers
__Proportional Control____Proportional-Integral Control____Lead / Lag Compensators__

- Digital Control
__Z-transform__

**Time Response**__Time Constants__

**System Models**__Fourier Series____Transfer Functions__

**Signal Processing**__Signal Filters__

**Web-based Simulator & Bode Plot Engine**__Examples____Documentation__

**Miscellaneous**__Electronics____Software / Firmware____Textbooks and references__

**Power Electronics & Motor Control**__Power Electronics____Motor Control__

**Interactive Demos**__All Interactive Demos__

**System Modeling With Transfer Functions**

What is a transfer function? Three examples included.

Tags: Control Theory

**Transfer Function Stability - Interesting Facts About Polynomial Form**

Quickly determine system stability from the sign of the polynomial coefficients. Numerical analysis not required.

Tags: Control Theory

A quick refresher on system block diagrams and associated signals.

Tags: Control Theory

**Voltage to Current Opamp Converter**

Voltage to current transducer circuitry for system instrumentation.

Tags: Instrumentation

**Current Mode Control- Where is the Second Pole?**

The second pole, typically associated with PI controller, seems to disappear in current mode

Tags: Power Electronics

**Lead / Lag Compensators**** >> Simulator <<**

Introduction to Lead and Lag compensators. Bode plot characteristics and interactive example in the web-based simulator

Tags: Control Theory, Interactive Demo

Natural frequency, damping factor, oscillations, pole locations, time-domain waveforms.

Tags: Control Theory, Interactive Demo

**Proportional-Integral (PI) Controller : Theory + Demo**** >> Simulator <<**

Explore the interactive demo of a PI compensator controlling a motor winding current in both time and frequency domains.

Tags: Control Theory, Interactive Demo

**A Quick Look on Three-phase Overmodulation Waveforms**

What shape do output voltage waveforms have in non-linear overmodulation region?

Tags: Motor Control

**System Dynamics - Time Constants**

Three easy ways to estimate system time constants.

Tags: Control Theory

**Proportional Controller Implementation**

This article focuses on the high-level implementation of the proportional controller with opamps, DSPs, FPGAs, and in Simulink.

Tags: Control Theory

**Are FPGAs the Future for the Control of Power Electronics and Motor Drives?**

Do you prefer DSPs or FPGAs? Fortunately, there seems to be great future for both.

Tags: Miscellaneous

**Textbooks and Journals for Power Electronics and Motor Controls**

A list of fundamental resources for general and applied control theory.

Tags: Miscellaneous

**Proportional Controller: Theory and Demo**** >> Simulator <<**

The simplest linear controller explained. Explore the dynamics and steady-state behavior in the web-based simulator.

Tags: Control Theory, Interactive Demo

**Bode Plot - Interactive Pole/Zero Placement**** >> Interactive <<**

Bode plots of low/high-pass filters, PI controller, lead/lag filters and build-your-own. Overlay multiple Bode Plots.

Tags: Control Theory, Interactive Demo

**Switching Losses & Simple 3-Dimensional Plotting**** >> Interactive <<**

This article touches on one of the two loss mechanisms in power electronics: switching loss. Further, a simple table to 3-D plot visualization technique is discussed.

Tags: Power Electronics, Miscellaneous

**Capacitor / Resistor Discharge Circuit : Theory + Demo**** >> Simulator <<**

Let's discharge a charged capacitor with a resistor. Basic circuit, signal diagram, and interactive simulation included.

Tags: Control Theory, Miscellaneous, Interactive Demo

**Interactive Website Scope : Documentation **

Learn how to use the scope feature used throughout this website.

Tags: Instrumentation, Miscellaneous

Digital control systems are the norm today. Learn a bit about the path from the analog domain to the discrete-time domain.

Tags: Control Theory

What is the effect of feedback-path filtering on controller design?

Tags: Control Theory

**Final Value Theorem**** >> Simulator <<**

What is the steady-state output of a transfer function subjected to a step change? There is a simple rule - but does it work in all cases?

Tags: Control Theory, Interactive Demo

**IIR to FIR System Conversion**** >> Simulator <<**

How can one approximate Infinite-Impulse Response systems with Finite-Impulse Response systems?

Tags: Control Theory

**Bode Plot Engine Documentation**

The Bode Plot Engine is a computing and plotting environment with combined symbolic and numerical inputs.

Tags: Instrumentation, Miscellaneous, Engine

**Notes on the Nyquist Stability Criterion**

This article by Prof. David Torrey delves into the Nyquist Stability Criterion.

Tags: Control Theory

**Supplementary Notes on Circuit Analysis, Pt. 1**

This article by Prof. David Torrey focuses on fundamental components.

Tags: Power Electronics

**Supplementary Notes on Circuit Analysis, Pt. 2**

This article by Prof. David Torrey focuses on analysis techniques.

Tags: Power Electronics

**Transformations for Motor Drive Design - Clarke**

This article introduces the reader to the ubiquitous 3-phase to 2-phase system transformation.

Tags: Control Theory, Power Electronics & Motor Control

**Web-based Simulator Documentation**

The Web-based Transfer Function Simulator is a simplistic (yet quite powerful) imitation of commercial products such as Simulink(r) by MathWorks(c) or PLECS(r) by PLEXIM(c). The purpose behind providing the simulator is simple: not everyone has access to Simulink. Alternatively, there might not a free license at the time or simply one would like to explore the design of control systems online on a machine without installed MatLab.

Tags: Instrumentation, Miscellaneous, Engine

**Low-Pass Filter Discretization**** >>> Interactive Example <<<**

Explore the discretization of the most common IIR filter.

Tags: Control Theory, Interactive Demo

**S/Z Plane Relationship **** >>> Interactive Example <<<**

See the effect of pole location in continuous and discrete time domains at the same time.

Tags: Control Theory, Interactive Demo

**Fourier Series Demo **** >>> Interactive Example <<<**

See the relationship between frequency-domain coefficients and time-domain waveform.

Tags: Control Theory, Interactive Demo

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