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Session 1620

Digital Control-A Setting for a Mixture of Computing Strategies:Numerics, Symbolics and Simulation Raymond G. Jacquot, Jerry C. Hamann and John E. McInroy College of Engineering, University of Wyoming

Abstract The authors report on a course that is a blend of classical and modern digital control, and digital filtering. Exercises in this course reflect a variety of computing resources and strategies and as a result low order system problems are no longer assigned. The authors have incorporated symbolic computing in several appropriate places where it can increase understanding and yield error-free algebraic manipulations. In most exercises, the computing is of the numerical type using algorithms developed in the course. Simulation, employing a graphical-oriented simulation language, lends reality to implementation of control laws and estimation algorithms.

Introduction At the University of Wyoming a lower level graduate course is offered to introduce graduate students to discrete-time control and digital filtering. The assumed prerequisite material is that contained in first courses in control and discrete signals and systems. The students are typically from the controls, power systems and signal processing areas with the presence of an occasional mechanical or chemical engineer. The topics are a blend of classical discrete-data control topics, modern digital control topics and digital filter synthesis techniques. A topical outline is given in Table 1. Table 1. Course Outline

Review of z-transforms The pulse transfer function Single-loop controller design PID and lead-lag controllers Ragazzini controller design Digital filter synthesis Discrete-time state variable representation State feedback and associated algorithms Prediction, current and reduced order observers Nonzero setpoints versus regulators L-Q optimal control Reciprocal root locus

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McInroy, J. E., & Hamann, J., & Jacquot, R. (1998, June), Digital Control A Setting For A Mixture Of Computing Strategies:Numerics, Symbolics And Simulation Paper presented at 1998 Annual Conference, Seattle, Washington. 10.18260/1-2--7046