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Technical Brief

A Simplified Two-Stage Design of Linear Discrete-Time Feedback Controllers

[+] Author and Article Information
Verica Radisavljevic-Gajic

Mem. ASME
Department of Mechanical Engineering,
Villanova University,
800 E. Lancaster Avenue,
Villanova, PA 19085
e-mail: verica.gajic@villanova.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 22, 2013; final manuscript received July 7, 2014; published online August 28, 2014. Assoc. Editor: Jwu-Sheng Hu.

J. Dyn. Sys., Meas., Control 137(1), 014506 (Aug 28, 2014) (7 pages) Paper No: DS-13-1526; doi: 10.1115/1.4028153 History: Received December 22, 2013; Revised July 07, 2014

In this paper, we have shown how to simplify an algorithm for the two-stage design of linear feedback controllers by reducing computational requirements. The algorithm is further simplified for linear discrete-time systems with slow and fast modes (multitime scale systems or singularly perturbed systems), providing independent and accurate designs in slow and fast time scales. The simplified design procedure and its very high accuracy are demonstrated on the eigenvalue assignment problem of a steam power system.

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Figures

Grahic Jump Location
Fig. 1

Slow subsystem of the steam power system step response

Grahic Jump Location
Fig. 2

Slow subsystem of the steam power system impulse response

Grahic Jump Location
Fig. 3

Fast subsystem of the steam power system step response

Grahic Jump Location
Fig. 4

Fast subsystem of the steam power system impulse response

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