TY - JOUR

T1 - Optimal design and optimal digital redesign for continuous-time input time-delay systems

AU - Tsai, Jason Sheng-Hon

AU - Chen, M. S.

AU - Kung, F. C.

PY - 1992/6/1

Y1 - 1992/6/1

N2 - This paper addresses two problems: one is the optimal control of an input-delay time-invariant linear system; and the other is a locally optimal-digital redesign of a continuous-time input time-delay system. It is shown that the fundamental closed-loop poles of the time-delay system designed via a predictor control law are identical to those of the non-delay system with the same system matrices. Thus, the well-developed design methods of liner quadratic regulators for the continuous-time non-delay systems can be directly applied to the input time-delay systems. It is also shown that the optimal digital redesign control law developed is able to allocate optimally the eigenvalues of the closed-loop discrete-time time-delay system to a specific region in the complex z-plane and to match closely the states of the digitally controlled closed-loop time-delay system to those of the original continuous-time input-delay system. The controllers proposed can be easily implemented, using computers with a relatively longer sampling period and relatively slower computation speed.

AB - This paper addresses two problems: one is the optimal control of an input-delay time-invariant linear system; and the other is a locally optimal-digital redesign of a continuous-time input time-delay system. It is shown that the fundamental closed-loop poles of the time-delay system designed via a predictor control law are identical to those of the non-delay system with the same system matrices. Thus, the well-developed design methods of liner quadratic regulators for the continuous-time non-delay systems can be directly applied to the input time-delay systems. It is also shown that the optimal digital redesign control law developed is able to allocate optimally the eigenvalues of the closed-loop discrete-time time-delay system to a specific region in the complex z-plane and to match closely the states of the digitally controlled closed-loop time-delay system to those of the original continuous-time input-delay system. The controllers proposed can be easily implemented, using computers with a relatively longer sampling period and relatively slower computation speed.

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M3 - Article

AN - SCOPUS:0026883879

VL - 8

SP - 315

EP - 340

JO - Control, theory and advanced technology

JF - Control, theory and advanced technology

SN - 0911-0704

IS - 2

ER -