On stabilizing gains for digital control systems
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In this paper we develop an analytical criterion for determining the stabilizing gains of a digital control system. The criterion is based on analysis of the behavior of a real polynomial X(u) constructed from the plant transfer function G(z). It is shown that the real zeros uiof X(u)(-1, +1) and the signs of dX(u)/dt|u = u(i)determine the range of stabilizing gains K completely, and in closed form. Besides providing a nongraphical and computationally simpler alternative to the Nyquist criterion and root locus techniques, this solution is a first step towards investigating stabilizability by higher order controllers.
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Proceedings of IEEE International Conference on Industrial Technology 2000 (IEEE Cat. No.00TH8482)