EEL 4610 - State Variables and Control

 

Catalog Description: (3 cr) Development of state-variable approach to linear continuous-time and discrete-time systems with emphasis on the design of feedback control systems.

Prerequisites: Signals and Systems, Circuits II

Textbook: Linear System Theory and Design, 3rd ed. C-T. Chen. (1999) ISBN number: 0-19-511777-8

Course Objective: The topics in this course are part of the fundamental theory of electrical engineering and provides depth in the analysis, design, and implementation skills in those areas of electrical engineering needed to solve problems in the domain of electrical engineering.

Professional Component: 3 credits of Engineering Design

Relationship to Outcomes:  (To view how the outcomes of this course fit in with the curriculum, click here) 

• EE2 - knowledge of mathematics, basic and engineering sciences necessary to analyze and design complex systems
• EE3 - knowledge of advanced mathematics including linear algebra, complex variables and discrete mathematics
• a - an ability to apply knowledge of mathematics, science, and engineering
• c - an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
• e - an ability to identify, formulate, and solve engineering problems
• k - an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice

Class Schedule:  3 classes per week of 50 minutes each

Topics:

• Introduction; historical perspective; control problem
• Review of input-output linear systems; the concept of state
• Linear algebra
• Solution of state equations
• Stability: zero-state stability, zero-input stability, asymptotic stability
• Controllability and observability; canonical decompositions
• State feedback: regulation, tracking, disturbance rejection, stabilization
• State estimation and feedback
• Minimal realizations
• Pole placement
• Model matching

Course Committee:  Dr. Latchman, Chair, Dr. Heitman, Dr. Hammer

Course Committee Reports for:

Fall Term		Spring Term		Summer Term
2005