MEM 636/637/638 Nonlinear Control Theory

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Text Book: Harry G. Kwatny & Gilmer L. Blankenship, Nonlinear Control and Analytical Mechanics: a computational approach, Birkhauser 2000.

Text Book: Draft 2nd Ed

Software: The book came with a set of Mathematica notebooks and packages (ProPac V 2.0). Students can purchase full function Mathematica for personal use at reduced price. Download  ProPac V5.3 - it is required for Mathematica 8.0 and above)

Syllabus

Lectures

Lecture 1 Introductionmp4 download

Lecture 2 Lyapunov Stability mp4 download

Lecture 3 Distributions

Lecture 4 Controllability   

Lecture 5 Observability

Lecture 6 Feedback Linearization 

Lecture 7 FBL Robust

Lecture 8 Adaptive FBL

Lecture 09 Variable Structure Control Preliminaries

Lecture 10 Variable Structure Control Sliding Modes

Lecture 11 Intro to Variable Structure Control Design

Lecture 12 VS - Mechanical Systems  

Lecture 13 VS - Electric Motors  

Lecture 14 VS - Disturbance Rejection

Lecture 15 VS - Power Plant Example

Lecture 16 VS - Disturbance Rejection

Lecture 17 Hybrid Systems Introduction

Lecture 18 Hybrid Control

Lecture 19 Hybrid Optimal Control

Lecture 20 Hybrid-Aircraft Landing Safety


Reading

On Governors, Maxwell 1868

LQR, Kalman & Bucy 1961

WMR Control Oriolo et al 2002

Inverted Pendulum Ibanez et al 2005

Wheeled Inverted Pendulum Pathak et al 2005

Nonholonomic Mobile Robot Sankaranarayanan & Mahindrakar 2009

Mathematical Analysis of the Parallel Parking Problem Allen 1960

Symbolic Computing Tools for Nonsmooth Dynamcis and Control Teolis Kwatny Mattice 1999

On Brockett's Theorem ..... Ryan 1994

Homework

Problem Set 1, Due Oct 26 Problem Set 2, Due Nov 9

Fall Final Project, Due Dec 6

Spring Project 1

Spring Project 2


Mathematica and MATLAB Resources

Inverted Pendulum

Wheelset

Wheelset Simulation

Quadcopter Notes

Quadcopter Simulation

Quadcopter Rotation FBL S-Function