Feedforward Control

When a Ratio Control strategy takes action too soon, use Feedforward to temper the dynamics.  When a disturbance can be measured, but would not be a ratio of the control output use...

MATLAB Command: lqr

MATLAB command documentation for the Linear-Quadratic Regulator (lqr) function.

Python Control Systems Library

The python-control package is a set of python classes and functions that implement common operations for the analysis and design of feedback control systems. The initial goal is to implement...

MATLAB Command: resid

This MATLAB command is part of the system identification toolbox and provides a way to compute and test residuals.

Min IAE Tuning

Procedure and Commentary on tuning for minimum Integral of the Absolute Error

MATLAB Documentation page: idLinear mapping object

This is the Mathworks documentation page for the idLinear mapping object.

MATLAB function: phased.LCMVBeamformer

The phased.LCMVBeamformer object implements a narrowband linear-constraint minimum-variance (LCMV) beamformer for a sensor array. The LCMV beamformer belongs to the family of constrained...

Decoding a Laplace Representation of a Controller

A how to relate the Laplace notation to the PID controller variation and features

Principal Component Analysis (PCA) 2 [Python]

This video describes how the singular value decomposition (SVD) can be used for principal component analysis (PCA) in Python (part 2).

Simultaneous Range and Speed Estimation Using MFSK Waveform

This MATLAB example compares triangle sweep frequency-modulated continuous (FMCW) and multiple frequency-shift keying (MFSK) waveforms used for simultaneous range and speed estimation for...

PID Controller Variations

It is important to understand the variations on the PID algorithm when tuning and when choosing a version that is consistent within your use context.  Unfortunately, there are many names for...

Gain Scheduling (Pre-programmed Controller Parameter Adjustment)

Process gain and time-constants change with operating flow rate, tank levels, temperatures, etc.  This often requires re-tuning of the controller coefficient values.  However, once done...

Train Custom LQR Agent with MATLAB

This example shows how to train a custom linear quadratic regulation (LQR) agent to control a discrete-time linear system modeled in MATLAB®.

Data-Driven Control: ERA/OKID Example in Matlab

In this lecture, we explore the observer Kalman filter identification (OKID) and eigensystem realization algorithm (ERA) in Matlab on an example.

Linear Regression 1 [Matlab]

This video describes how the singular value decomposition (SVD) can be used for linear regression in Matlab (part 1).

Cascade Control

When and how to use cascade

SVD: Eigenfaces 1 [Matlab]

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Matlab code, part 1).

SVD: Eigenfaces 3 [Python]

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Python code, part 3).

Data-Driven Control: Balancing Example

In this lecture, we give an example of how a change of coordinates can balance the controllability and observability of an input—output system.

Unitary Transformations and the SVD [Python]

This video describes how the singular value decomposition (SVD) is related to unitary transformations, with Python code.

Controls Engineering in the FIRST Robotics Competition

This guide is intended to make an advanced engineering topic approachable so it can be applied by those who aren’t experts in control theory. The intended audience is high school students...

3D Printed Laboratory Equipment to Study Fundamentals of Vibrations: Complia...

This low-cost, portable, and 3D-Printed Laboratory Equipment (3D-PLE) can be utilized to achieve the following learning outcomes: 

• Derive the equation of motion of a translational...

Override and Reset Feedback

Override (Select, Safety, Switch) control observes an auxiliary variable and takes over from the primary controller when a limit is exceeded.  Reset feedback is a method to prevent the non...

SVD: Eigen Action Heros [Matlab]

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces. In this example, we represent action heros (Matlab).

Principal Component Analysis (PCA) [Matlab]

This video describes how the singular value decomposition (SVD) can be used for principal component analysis (PCA) in Matlab.