Preclassical Tools for Postmodern Control: An Optimal and Robust Control Theory for Undergraduate Education

Author

Li Qiu ; Kemin Zhou

Author_Institution

Dept. of Electron. & Comput. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, China

Volume

33

Issue

4

fYear

2013

fDate

Aug. 2013

Firstpage

26

Lastpage

38

Abstract

This article provides a tutorial on the development of a complete and systematic optimal and robust control theory for SISO systems using only preclassical tools growing out of the Routh stability test and the polynomial Diophantine equation. The presented analysis problems are the computations of signal and system energy (two-norm) and system resonance peak (∞-norm). The presented synthesis problems are optimal transient stabilization (linear quadratic Gaussian control) and suboptimal and optimal robust stabilization (H_∞-control). Our experience indicates that these materials are well suited for undergraduate teaching.

Keywords

H^∞ control; control system synthesis; linear quadratic Gaussian control; robust control; teaching; ∞-norm; H_∞-control; Routh stability test; SISO systems; linear quadratic Gaussian control; optimal control theory; optimal transient stabilization; polynomial Diophantine equation; postmodern control; preclassical tools; robust control theory; suboptimal robust stabilization; synthesis problems; system energy; system resonance peak; two-norm; undergraduate teaching; Control engineering education; Education; Education courses;

fLanguage

English

Journal_Title

Control Systems, IEEE

Publisher

ieee

ISSN

1066-033X

Type

jour

DOI

10.1109/MCS.2013.2258757

Filename

6556053