A unified procedure for discrete-time root locus and Bode design

As an alternative to the numerous distinct controller design algorithms in discrete-time textbooks, a simple, unified design approach is presented for all standard discrete-time, classical compensators independent of the form of the system information. This approach is based on a simple root locus design procedure for a proportional-derivative (PD) compensator. From this procedure, design procedures for discrete-time lead, proportional-integral (PI), lag, proportional-integral-derivative (PID), and PI-lead compensators are developed. With this proposed approach, students can concentrate on the larger control system design issues, such as compensator selection and closed-loop performance, rather than the intricacies of a particular design procedure. To demonstrate this approach, an example of a lead design from a digital control system laboratory is presented.

[1]  Richard T. O'Brien,et al.  A Novel Approach to a Control Systems Laboratory , 2003 .

[2]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[3]  Brian S. R. Armstrong,et al.  Controls laboratory program with an accent on discovery learning , 2001 .

[4]  Bonnie S. Heck,et al.  An interactive tool for classical control design education , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[5]  Katsuhiko Ogata,et al.  Discrete-time control systems , 1987 .

[6]  Mark W. Spong,et al.  Report on the NSF/CSS Workshop on new directions in control engineering education , 1999 .

[7]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[8]  Norman S. Nise,et al.  Control Systems Engineering , 1991 .

[9]  R.T. O'Brien,et al.  A unified approach for teaching root locus and bode compensator design , 2003, Proceedings of the 2003 American Control Conference, 2003..

[10]  P. Dorato.  Undergraduate control education in the US , 1999 .

[11]  R.T. O'Brien,et al.  Streamlined approach for teaching root locus compensator design , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[12]  Naresh K. Sinha,et al.  Modern Control Systems , 1981, IEEE Transactions on Systems, Man, and Cybernetics.