Controllability and control for discrete periodic systems based on fully-actuated system approach

Abstract

The problem of controllability and control of linear discrete-periodic systems is investigated in this paper. The high-order fully-actuated models for linear discrete periodic time-varying systems are constructed, and a controllability criterion based on fully-actuated system models is proposed. On this basis, stabilization as the fundamental issue is studied and periodic state-feedback control laws are designed via fully-actuated systems approach and parametric design, which converted the original problem into the pole assignment problem for linear constant systems. Finally, a numerical example is given to verify the validity and feasibility of the proposed method.

Keywords:

• Fully-actuated system approach
• controllability
• stabilization
• linear discrete periodic systems

2010 Mathematics Subject Classifications:

• 00-01
• 99-00

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Due to the nature of this research, participants of this study did not agree for their data to be shared publicly, so supporting data is not available.

Additional information

Funding

This work is supported by the Support Plan for Scientific and Technological Innovation Team of Colleges and Universities in Henan Province [grant number 22IRTSTHN011], Excellent Youth Fund of Henan Natural Science Foundation [grant number 212300410058] and Zhengzhou Science and Technology Collaborative Innovation Project in 2022.