INTRODUCTION TO ROBUST CONTROL

A 2-Day Practical Approach using MATLAB

Course Highlight
Robustness is often of crucial importance in control system design. Real engineering systems are vulnerable to external disturbance and measurement noise and there are always discrepancies between mathematical models used for design and the actual system in practice. Robust Control Design with MATLAB® helps you learn how to use well-developed advanced robust controldesign methods in practical cases.

The MATLAB® Robust Control toolbox was developed along two routes: ( 1 ) a lean and simple Robust Control toolbox; and ( 2 ) a feature-rich Mu toolbox. These two toolboxes are now combined in the new Robust Control Toolbox with most of the existing tools but with a new set of tools that integrate well with the Control Toolbox. In this course, several realistic control design examples and complex systems are given detailed presentation,allowing you quickly to move on with your own challenges.

Course Objective
This two-days hands-on course that focus on fundamental concepts and techniques for analysis and design of robust control systems. A great feature of the course is that the teaching material will illustrate numerous examples of practical significance. Hands-on, tutorial presentation give you the opportunity to repeat the designs presented and easily to modify them for your own programs. Also an abundance of examples illustrating the most important steps in robust design.

Pre-requisites:
Candidates must have experience with basic computer operations and must be knowledgeable in basic MATLAB usage and the Control Systems Toolbox. See our courses: "Learner's Guide to MATLAB," and “Control System Design And Analysis” for a complete list of topics.

Course Outline:

Day 1

1. Review of MATLAB Fundamentals

• Working with Variables
• Arrays
• Plotting and Visualization
• Basic MATLAB Programming

2. Review of Control Systems Toolbox

• Modeling of linear time invariant (LTI) dynamic systems
• Analysis of dynamic systems
• Controller design for dynamic systems

3. What is Robust Control?

• Guaranteed performance in the presence of 'uncertainty.'

4. What does 'uncertainty' mean?

• Types of uncertainty

5. Effects of Uncertainty

• Time/Frequency Response due to uncertainty
• Stability/Performance: Nominal, Worst-case

Day 2

6. Synthesis of Robust Controllers

7. Loop Shaping

• Tradeoffs between Performance and Robustness
• Typical Loop shapes
• Singular Values and Guaranteed Margins
• H8 Loop Shaping

8. Robustness Analysis

• Uncertainty Modeling
• Parametric and Unmodeled Dynamics
• MIMO Robustness Analysis
• Worst-Case Gain Analysis
• H∞ and Mu Synthesis

9. Case Studies

Who Should Attend
Engineer, researchers and scientists who want to learn how to deal with robust control design problems without spending a lot of time in researching complex theoretical developments. The course helps them to learn the fundamentals of Robust Control, and understand the usage off Robust Control Toolbox for the modeling, analysis and design of robust control systems.

Course Benefits
Upon the completion of the course, the participants should be able to model, analyze and design robust control systems in the presence of uncertainties. They should also be able to use the Robust Control Toolbox for the above.