Engineering & Technology
Received: 06 May 2018 , Published: 06 May 2018
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|1||Ukoima Kelvin Nkalo|
This paper presents proof of an asymptotic converging observer for an energy harvesting system. In an energy harvesting system, an observer is used to estimate mechanical quantities from the known electrical variables. Most estimation in the past has remained a challenge owing to rigorous computational techniques. In this work, we show that if there exists mappings which are left invertible and the manifolds of these mappings are positive invariant, then, using the small gain theorem and the solution of a modified algebraic Riccati equation, an asymptotic converging observer can be designed.
Gauthier, J., Hammouri, H. and Othman, S. (1992). A simple observer for non- linear systems applications to bioreactors, IEEE Trans. Automat. Con- trol, vol. 37, no. 6, pp. 875–880.
Gauthier, J and Kupka, I. (1994). Observability and observers for nonlinear systems, SIAM J. Control Optim., vol. 32, no. 4, pp. 975–994.
Karagiannis, D. and Astolfi, A. (2005). Nonlinear observer design using invariant manifolds and applications, in Proceedings of the 4th IEEE Conference on Descision and Control, 2005 and 2005 European Control Conference, Serville, Spain., Dec. 2005, pp. 7775 – 7780.
Krener, A and Isidori, A. (1983). Linearization by output injection and non- linear observers, Syst. Control Lett., vol. 3, no. 1, pp. 47–52.
Krener, A. and Respondek, W. (1985). Nonlinear observers with linearizable error dynamics, SIAM J. Control Optim., vol. 23, no. 2, pp. 197–216.
Nunna, K,. Toh, T., Mitcheson, P. and Astolfi, A. (2014). Nonlinear observer and controller design for sensorless operation of a continuously rotating energy harvester, in 19th IFAC world congress, Cape Town, South Africa.
Ukoima, K. N. (2016). Optimal Linear Control of an Energy Harvesting System in International Journal of Scientific and Research Publications, vol. 6. no. 6, pp. 385 – 389.