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Technical Brief

Three-Stage Feedback Controller Design with Applications to Three Time-Scale Control Systems

[+] Author and Article Information
Verica Radisavljevic-Gajic

Villanova University, Department of Mechanical Engineering 800 East Lancaster Ave, Villanova, PA 19085
verica.gajic@villanova.edu

Milos Milanovic

Villanova University, Department of Mechanical Engineering 800 East Lancaster Ave, Villanova, PA 19085
mmilano5@villanova.edu

G. M. Clayton

Villanova University, Department of Mechanical Engineering 800 East Lancaster Ave, Villanova, PA 19085
garett.clayton@villanova.edu

1Corresponding author.

ASME doi:10.1115/1.4036408 History: Received May 17, 2016; Revised March 10, 2017

Abstract

A new technique was presented that facilitates design of independent full-state feedback controllers at the subsystem levels. Different types of local controllers, for example, eigenvalue assignment, robust, optimal (in some sense ) may be used to control different subsystems. This feature has not been available for any other known linear feedback controller design technique. In the second part of the paper, we specialize the results obtained to the three time-scale linear control systems (singularly perturbed control systems) that have natural decomposition into slow, fast, and very fast subsystems. The proposed technique eliminates numerical ill-conditioning of the original three-time scale problems. The newly proposed three-stage feedback controller design is demonstrated on the eighth-order proton exchange membrane fuel cell model.

Copyright (c) 2017 by ASME
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