H_infinity observer; decentralized control; nonlinear systems
Abstract :
[en] In this paper an H∞ decentralized observer-based control is proposed for large-scale uncertain nonlinear systems. These systems are coupled by N interconnected subsystems where the interconnections satisfy the quadratic constraints. The proposed control is based on a new form of dynamic observer (DO) which generalizes the existing results on the proportional observer (PO) and the proportional integral observer (PIO). The design approach is derived from the solution of matrix inequality and based on the algebraic constraints obtained from the analysis of the estimation error. A numerical example is provided to show the effectiveness of the proposed control.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Gao, Nan
Darouach, Mohamed
Alma, Marouane
Voos, Holger ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Language :
English
Title :
H∞ decentralized dynamic-observer-based control for large-scale uncertain nonlinear systems
Publication date :
November 2014
Event name :
IEEE Int. Conf. on Control, Decision and Information Technologies (CoDIT)
Event date :
from 03-11-2014 until 05-11-2014
Audience :
International
Main work title :
IEEE Int. Conf. on Control, Decision and Information Technologies (CoDIT), Metz, France, 3-5 Nov. 2014
A. E. Ashari and B. Labibi, "Application of matrix perturbation theory in robust control of large-scale systems," Automatica, vol. 48, no. 8, pp. 1868-1873, 2012.
D. Xu and V. Ugrinovskii, "Decentralized measurement feedback stabilization of large-scale systems via control vector lyapunov functions," Systems & Control Letters, vol. 62, no. 12, pp. 1187-1195, 2013.
S. J. Yoo, "Neural-network-based decentralized fault-tolerant control for a class of nonlinear large-scale systems with unknown time-delayed interaction faults," Journal of the Franklin Institute, vol. 351, no. 3, pp. 1615-1629, 2014.
L. Li, V. A. Ugrinovskii, and R. Orsi, "Decentralized robust control of uncertain markov jump parameter systems via output feedback," Automatica, vol. 43, no. 11, pp. 1932-1944, 2007.
F. O. Tellez, A. G. Loukianov, E. N. Sanchez, and E. J. B. Corrochano, "Decentralized neural identification and control for uncertain nonlinear systems: Application to planar robot," Journal of the Franklin Institute, vol. 347, no. 6, pp. 1015-1034, 2010, advances in Nonlinear Observation and Identification for Dynamic Systems.
Y. Xu, S. Tong, and Y. Li, "Adaptive fuzzy fault-tolerant decentralized control for uncertain nonlinear large-scale systems based on dynamic surface control technique," Journal of the Franklin Institute, vol. 351, no. 1, pp. 456-472, 2014.
"Delay-dependent robust and reliable fuzzy hyperbolic decentralized control for uncertain nonlinear interconnected systems," Fuzzy Sets and Systems, vol. 161, no. 6, pp. 872-892, 2010, theme:.
X. Zhang, L. Liu, G. Feng, and C. Zhang, "Output feedback control of large-scale nonlinear time-delay systems in lower triangular form," Automatica, vol. 49, no. 11, pp. 3476-3483, 2013.
S. Sui, S. Tong, and Y. Li, "Observer-based adaptive fuzzy decentralized control for stochastic large-scale nonlinear systems with unknown deadzones," Information Sciences, vol. 259, no. 0, pp. 71-86, 2014.
A. S. Tlili and N. B. Braiek, "H optimization-based decentralized control of linear interconnected systems with nonlinear interconnections," Journal of the Franklin Institute, no. 0, pp.-, 2014.
R. Ghadami and B. Shafai, "Decentralized PI observer-based control of nonlinear interconnected systems with disturbance attenuation," in American Control Conference (ACC), 2011, June 2011, pp. 4705-4710.
A. Golabi, M. Beheshti, and M. Asemani, "Dynamic observer-based controllers for linear uncertain systems," Journal of Control Theory and Applications, vol. 11, no. 2, pp. 193-199, 2013.
M. Darouach, N. Gao, H. Voos, and H. Marquez, "Generalized H observers design for systems with unknown inputs," in Control and Fault-Tolerant Systems (SysTol), 2013 Conference on, Oct 2013, pp. 172-177.
Y. Wang, L. Xie, and C. E. de Souza, "Robust control of a class of uncertain nonlinear systems," Systems & Control Letters, vol. 19, no. 2, pp. 139-149, 1992.
S. Dhbaibi, A. S. Tlili, S. Elloumi, and N. B. Braiek, "Decentralized observation and control of nonlinear interconnected systems," ISA Transactions, vol. 48, no. 4, pp. 458-467, 2009.
