Abstract
In this paper, the unified Rossler chaotic system is addressed and the state observation problem of such a system is explored. Based on the time-domain approach with differential and integral inequalities, a suitable state observer for the unified Rossler chaotic system is established to assure the global exponential stability of the resulting error system. Besides, the guaranteed exponential decay rate can be accurately estimated. Finally, numerical simulations are offered to demonstrate the feasibility and effectiveness of the obtained results.

Keywords
Unified Rossler chaotic system; Observer design; Chaotic system; Exponential decay rate

Cite this paper
Yeong-Jeu Sun, An exponential observer design for the unified Rossler chaotic system , SCIREA Journal of Information Science and Systems Science. Volume 3, Issue 1, February 2018 | PP. 1-9.

References

[ 1 ]	J. P. Singh, B. K. Roy, “Coexistence of asymmetric hidden chaotic attractors in a new simple 4-D chaotic system with curve of equilibria,” Optik-International Journal for Light and Electron Optics, vol. 145, pp. 209-217, 2017.
[ 2 ]	X. Zhang, D. Li, X. Zhang, “Adaptive fuzzy impulsive synchronization of chaotic systems with random parameters,” Chaos, Solitons & Fractals, vol. 104, pp. 77-83, 2017.
[ 3 ]	G. Qi, J. Zhang, “Energy cycle and bound of Qi chaotic system,” Chaos, Solitons & Fractals, vol. 99, pp. 7-15, 2017.
[ 4 ]	J. D J. Rubio, “Stable Kalman filter and neural network for the chaotic systems identification,” Journal of the Franklin Institute, vol. 354, pp. 7444-7462, 2017.
[ 5 ]	M. R. Akbarzadeh, S. A. Hosseini, M. B. N. Sistani, “Stable indirect adaptive interval type-2 fuzzy sliding-based control and synchronization of two different chaotic systems,” Applied Soft Computing, vol. 55, pp. 567-587, 2017.
[ 6 ]	L. Zhao, G. H. Yang, “Adaptive sliding mode fault tolerant control for nonlinearly chaotic systems against DoS attack and network faults,” Journal of the Franklin Institute, vol. 354, pp. 6520-6535, 2017.
[ 7 ]	H. P. Ren, C. Bai, Q. Kong, M. S. Baptista, C. Grebogi, “A chaotic spread spectrum system for underwater acoustic communication,” Physica A: Statistical Mechanics and its Applications, vol. 478, pp. 77-92, 2017.
[ 8 ]	J. Feng, “Analysis of chaotic saddles in a nonlinear vibro-impact system,” Communications in Nonlinear Science and Numerical Simulation, vol. 48, pp. 39-50, 2017.
[ 9 ]	M. J. Mahmoodabadi, R. A. Maafi, M. Taherkhorsandi, “An optimal adaptive robust PID controller subject to fuzzy rules and sliding modes for MIMO uncertain chaotic systems,” Applied Soft Computing, vol. 52, pp. 1191-1199, 2017.
[ 10 ]	A. C. Escamilla, J. F. G. Aguilar, L. Torres, R. F. E. Jiménez, M. V. Rodríguez, “Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order,” Physica A: Statistical Mechanics and its Applications, vol. 487, pp. 1-21, 2017.