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The low-order stabilization of the systems with multiple time delays is more difficult compared with that of the rational system and the system with single time delay. For an arbitrarily-given LTI (linear time-invariant) multiple time-delay plant, the stabilization problem of the Proportional (P) and Proportional-Integral (PI) is solved in this paper. Based on the generalized Nyquist criterion applicable...
In this paper we develop a new algorithm to compute stabilizing sets for a fixed order digital controller for a multivariable plant. This computation is crucial in applications and few results are available. Our algorithm is based on (a) the Tchebyshev representation of the unit circle image of a polynomial, (b) recent results on sign-definite decomposition and (c) bounded phase results from Robust...
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