Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades

ABSTRACT

The development of a control systems theory for multidimensional linear systems, i.e. systems with more than one independent variable is an area where a very significant volume of research is based on representations for the underlying dynamics introduced in the 1970s. One of these is the Fornasini-Marchesini state-space model published in 1978. This paper reviews the significant developments in the succeeding four decades in both theory and applications, including examples where this model description is an enabler for the analysis of other classes of systems.

KEYWORDS:

• Fornasini-Marchesini models
• Roesser model
• linear repetitive process model
• control theoretic analysis
• control design

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is partially supported by National Science Centre in Poland [grant number 2017/27/B/ST7/01874].