Control Systems


This 3-day short course is an introduction to classical and modern control theory. The course emphasizes essential concepts. These concepts are illustrated by using numerous graphics, block diagrams, and simple examples. The practical usefulness of these concepts is reinforced through practical control system design examples, including spacecraft attitude control design using both classical and modern methods. Concepts introduced will be illustrated with Matlab. However, the emphasis is on the fundamentals of control systems. Selected special topics based on the students’ interest areas will also be presented.

Course Outline:

  1. Modeling of Dynamic Systems
    1. Differential equations (t-domain)
    2. Laplace transforms (s-domain)
    3. Discrete-time systems (z-domain)
    4. Mappings between t, s, and z domains
    5. State-space representation
    6. Block diagrams
    7. Multi-input multi-output systems
    8. Poles and zeros


  2. Response of linear systems
    1. Time domain
    2. Frequency domain
    3. Overshoot, minimum-phase and nonminimum-phase response
    4. System response relative to pole and zero locations


  3. Feedback and Stability
    1. Pole location, root locus
    2. Gain and phase margin
    3. Methods of Nyquist and Bode
    4. Trade-off between stability and performance


  4. Classical Feedback Control
    1. PID Feedback Design
    2. Lead-lag compensation


  5. Modern Control Theory
    1. Full state feedback
    2. Output feedback (Luenberger observer)
    3. Observability and Controllability


  6. Concepts illustrated with Matlab examples.
  7. Design examples. Examples of space and missile control.


This course is not on the current schedule of open enrollment courses. If you are interested in attending this or another course as open enrollment, please contact us at (410)956-8805 or at and indicate the course name and number of students who wish to participate. ATI typically schedules open enrollment courses with a lead time of 3-5 months. Group courses can be presented at your facility at any time. For on-site pricing, request an on-site quote. You may also call us at (410)956-8805 or email us at


  • Dr. Matthew VanSanten Kozlowski is VP of Engineering at Telefactor Robotics developing vision and dexterity systems, such as novel “smart” prosthetic and human integrated robotic systems for injured soldiers and civilians, first responders, space crewmembers, and the aging population. Matthew has co-founded two robotics technology companies. Previously, he was the lead architect for the Advanced Explosive Ordnance Disposal Robot System (AEODRS) at the Johns Hopkins University Applied Physics Laboratory.

    Contact this instructor (please mention course name in the subject line)

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