Course Description

 

This course studies the state-of-the-art computer-aided design methodologies for multivariable linear time invariant feedback control systems. Topics include:

 

• Mathematical Language for Describing Design Objectives
• Performance Limitation in MIMO Systems
• Realization for MIMO Systems
• How to Predict Qualities of Optimal Controller
• Major Optimization Engines of Multivariable Design:
  • H2 and Linear-Quadratic
  • H-infinity
  • Decoupling
  • Loop Shaping Methodologies (Nyquist Like Techniques)
  • QFT

 

Prerequisites

 

• Basic understanding of linear algebra.
• Classical analysis and synthesis techniques (root locus, Bode).
• Course assumes a working knowledge of MATLAB^®.

 

It is a good idea to get hold of a copy of the MATLAB® manual for the Mu-Analysis and Synthesis Toolbox: this is a well-written "cookbook" style reference for those primarily interested in applications of H2 and H-Infinity optimization.

Multivariable_introduction

1- This section introduces the multivariate control contents.

2- Linear algebra needed for mulivariable control.

3- Some general concepts of multivariate systems and methods of displaying the systems.

4- Pole and zero and type in multivariate systems, and transmission  zero assignment.

5- Introduces controllability, observisibility, and implementation and order reduction in multivariate systems.

6- Stability analysis and stabilization controllers

7- Limitation on performance in MIMO systems.

8- Control structure design, and control design in MIMO systems.

9- Uncertainty in MIMO systems and QFT controlle design.