Journal of the Franklin Institute-Engineering and Applied Mathematics
An algorithmic approach to feedback control design is introduced. It simplifies the existing iterative design process, which is often tedious, by reducing the design problem to solving a set of linear algebraic equations. The algorithmic nature of such an approach makes it attrative to not only off-line designs but also self-tuning control systems, where the compensators are continuously tuned on-line as the dynamics of the physical process vary with time. This is demonstrated in the example where the proposed algorithm is implemented for an industrial tension regulation system with successful simulation results. Extensions of the algorithm to multi-input and multi-output systems, as well as discrete time systems, are also introduced.
Gao, Zhiqiang, "An Algorithmic Approach to Loop Shaping With Applications to Self-Tuning Control Systems" (1995). Electrical Engineering & Computer Science Faculty Publications. 70.
Zhiqiang, G. (1995). An Algorithmic Approach to Loop Shaping with Applications to Self-tuning Control Systems. Journal of The Franklin Institute, 332(6), 643-656.
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of the Franklin Institute-Engineering and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of the Franklin Institute-Engineering and Applied Mathematics, 332, 6, (11-01-1995); 10.1016/0016-0032(95)00053-4