Two-dimensional (2D) systems approach to feedforward/feedback control of a class of spatially interconnected systems

ABSTRACT

Electrical ladder circuits, consisting of a series, or cascade, connection of cells are a class of spatially interconnected systems. These circuits can be modelled as 2D systems, i.e. there exist two directions of information propagation, where one indeterminate is time and the other the number of the current cell (node). In this paper, the recently developed direct (2D) approach to stability analysis and stabilisation of these systems is extended to the presence of uncertainty in the models described by the norm bounded structure. The analysis is then further extended to the design of feedforward/feedback control action to track a spatially distributed time invariant reference signal in the presence of disturbances.

KEYWORDS:

• Spatially interconnected systems
• ladder circuits
• robust control
• feedforward/feedback control

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is partially supported by the National Science Centre in Poland, [grant number 2015/17/B/ST7/03703].