Title :
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
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;
Journal_Title :
Control Systems, IEEE
DOI :
10.1109/MCS.2013.2258757
