CATALOG DATA:
The application of techniques such as the phase-plane method, Lyapunov method, vector-format method, the z-transform method, and statistical methods to the design of control systems.TEXTBOOK:
Friedland, B., Advanced Control System Design, Prentice-Hall
Sage, A.P. and Chelsea, C. W. III, Optimum Systems Control, Prentice-Hall. (recommended)GOALS:
Understanding of the role of a variety of tools in the design and analysis of control systems. These include Laplace-domain analysis, Lyapunov stability, state-space methods, variational calculus and optimal trajectory planning, optimal feedback-control-law design, and stochastic modeling and optimal estimation.Prerequisites:
Linear differential equations including Laplace transformations.Topics:
- Plant modeling, linearization, block diagrams
- Laplace transformations, root-locus plots, Routh tables, linear stability
- Digital-controllers, the z-transformation, data sampling, stability of combined d. continuous/discrete systems.
- Nonlinear Lyopunov Stability
- State equation forms, analyses, eigenvalue problems
- Calculus of variations, optimal open-loop trajectory design
- Optimal feedback control laws for quadratic performance indices
- Joint probability density fns, stochastic modeling, optimal estimation
Computer Usage:
Computing will be involved explicitly or implicitly in most assignments. Algorithms involving numerical integration for system simulation, and a variety of matrix operations, are requirements of the methods used.Practice and Assessment Methods:
Weekly homework will be collected. In addition there will be one design project where students use numerical methods to solve a two point boundary value problem which results in an optimal trajectory design. One midterm examination and a final examination.ABET category content as estimated by faculty member who prepared the course description:
Engineering Science: 2.0 credits or 67%
Engineering Design: 1.0 credits or 33%Prepared by: Professor Steven B. Skaar
Last Update: June 7, 2004
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