Based on undergraduate teaching experience in control theory, the concept of gain margin is revised, vector margin systematised and the rudiments of its calculation exposed, and the concept of phase margin is illustrated. Some two-parameter problems are tackled via the Routh array. Concepts of centroid design and generalised vector margin design are discussed and finally, an eigenvalue-based optimum stability idea suggested by root locus analysis is explored.
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References
1.
PowerH. M. and SimpsonR. J., Introduction to Dynamics and Control, McGraw-Hill (1978)
2.
FranklinG. F.PowellJ. D. and Emami-NaieniA., Feedback Control of Dynamic Systems, 3rd Ed., Addison-Wesley (1994)
3.
DorfR. C. and BishopR. H., Modern Control Systems, 8th Ed., Addison-Wesley (1998)
4.
de PaorA. M., ‘A modified Smith predictor and controller for unstable processes with time delay’, International Journal of Control, 41, pp. 1025–1036 (1985)
5.
de PaorA., ‘50 years of Root Locus: Some new thoughts’, Proc. 2nd IFAC Workshop on New Trends in the Design of Control Systems, Smolenice, Slovakia (September 7–10, 1997)
6.
StarkL., Neurological Control Systems: Studies in bioengineering, Plenum Press (1968)
