TY - CHAP

T1 - New approach to feedback stabilization

AU - Ho, Ming-Tzu

AU - Datta, Aniruddha

AU - Bhattacharyya, S. P.

PY - 1996/12/1

Y1 - 1996/12/1

N2 - This paper considers the problem of stabilizing a given linear time-invariant plant using a fixed order compensator. As a first step, attention is focussed on the constant gain stabilization problem. An appropriately generalized version of the Hermite-Biehler Theorem is given and shown to be useful in providing a solution to this problem. A complete analytical characterization of all stabilizing feedback gains is provided as a closed form solution. This is in stark contrast to the highly nonlinear inequalities that one may have to deal with in trying to solve this problem using the Routh-Hurwitz criterion or the graphical procedures which must be followed while using the Nyquist criterion or the Root Locus technique. The development of similar approaches for stabilization using PID or first order controllers is a topic of current research.

AB - This paper considers the problem of stabilizing a given linear time-invariant plant using a fixed order compensator. As a first step, attention is focussed on the constant gain stabilization problem. An appropriately generalized version of the Hermite-Biehler Theorem is given and shown to be useful in providing a solution to this problem. A complete analytical characterization of all stabilizing feedback gains is provided as a closed form solution. This is in stark contrast to the highly nonlinear inequalities that one may have to deal with in trying to solve this problem using the Routh-Hurwitz criterion or the graphical procedures which must be followed while using the Nyquist criterion or the Root Locus technique. The development of similar approaches for stabilization using PID or first order controllers is a topic of current research.

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UR - http://www.scopus.com/inward/citedby.url?scp=0030403889&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0030403889

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4643

EP - 4648

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

T2 - Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)

Y2 - 11 December 1996 through 13 December 1996

ER -