Part-Time Programs in Engineering and Applied Science, Johns Hopkins University

Linear System Theory
525.466


Course Description
This course covers the structure and properties of linear dynamic systems with an emphasis on the single-input, single-output case. Topics include the notion of state-space, state variable equations, review of matrix theory, linear vector spaces, eigenvalues and eigenvectors, the state transition matrix and solution of linear differential equations, internal and external system descriptions, properties of controllability and observability and their applications to minimal realizations, state-feedback controllers, asymptotic observers, and compensator design using state-space and transfer function methods. An introduction to multi-input, multi-output systems is also included, as well as the solution and properties of time-varying systems.

Syllabus

  1. Properties of Linear Systems, Laplace Transforms, Transfer Functions, Block Diagrams
  2. Review of Matrix Theory, State Equations
  3. Linear Vector Spaces
  4. Solution of Linear Algebraic Equations, Eigenvectors and Eigenvalues
  5. Quiz
  6. Jordan Form, State Transition Matrix, Cayley Hamilton Theorem
  7. Discrete Time Systems, System Stability
  8. Controllability and Observability
  9. Canonical Realizations, Minimal Realizations, Canonical Decomposition
  10. Quiz
  11. State Variable Feedback, State Observers
  12. Controller-Observer Compensators
  13. Introduction to Multivariable Systems
  14. Final Exam

Prerequisites
Courses in matrix theory and linear differential equations.

Instructor
Alan Pue is a member of the Principal Professional Staff at the Johns Hopkins University Applied Physics Laboratory. He is Assistant Supervisor of the Guidance and Navigation Systems Group. Dr. Pue holds a B.S. and M.Eng. from Cornell University and a Ph.D from the University of Maryland. Dr. Pue has over 20 years experience in the design and analysis of guidance, navigation, and control systems for applications that include automated transportation, space telescope pointing, and tactical missiles.

Computer Lab Requirements
Use of MATLAB is introduced.

Textbook
Linear System Fundamentals by Reid


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Fall 1997