doi: 10.7763/IJET.2012.V4.417
Multi-rate Ripple-Free Deadbeat Control for Nonlinear Systems Using Diophantine Equations
Hatem Elaydi
1
,
Mohammed Elamassie
2
- 1 the Electrical Engineering Department at the Islamic University of Gaza, Gaza, Palestine
- 2 University College of Applied Science, Gaza, Palestine
Abstract
Despite previous efforts to solve linear and nonlinear deadbeat control systems, a need still exists for better methodology in terms of performance and stability. This paper proposes a new design methodology for deadbeat control of nonlinear systems in discrete-time. The proposed methodology is based on partitioning the solution into two components; each with different sampling time. The proposed control can be divided into two sub-controllers: one uses state feedback and the other uses the Diophantine equations. The complete nonlinear design guarantees the convergence to a neighborhood of origin from any initial state in finite time; thus, providing a stable deadbeat performance. Results shows that the ripple-free deadbeat controller is able to track the input signal and the error decays to zero in a finite number of sampling times.
Keywords
- Deadbeat control
- diophantine equations
- multi-rate
- output-feedback linearization
How to Cite
Hatem Elaydi and Mohammed Elamassie, "Multi-rate Ripple-Free Deadbeat Control for Nonlinear Systems Using Diophantine Equations," International Journal of Engineering and Technology, vol. 4, no. 4, pp. 489-494, 2012. https://doi.org/ 10.7763/IJET.2012.V4.417
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).