The objective of this paper is to develop a robust decentralized observer-based feedback model reference tracking control approach for a class of nonlinear disturbed interconnected systems. The proposed H∞ control and observation design method is formulated within an optimization problem involving linear matrix inequalities (LMIs), efficiently solved by a one-step LMI procedure, to compute the decentralized observation and control gain matrices of each subsystem, and to attenuate the external disturbances affecting the subsystems by minimizing a H∞ performance criterion. A numerical simulation is highlighted on a power system with three-interconnected machines to demonstrate the effectiveness of the developed control approach despite the interconnections between different generators, nonlinearities in the system, and external disturbances.
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June 2017
Research-Article
Linear Matrix Inequality Robust Tracking Control Conditions for Nonlinear Disturbed Interconnected Systems
Ali Sghaier Tlili
Ali Sghaier Tlili
Laboratory of Advanced Systems,
Polytechnic School of Tunisia,
BP. 743, La Marsa,
Tunis 2078, Tunisia
e-mail: ali.tlili@ept.rnu.tn
Polytechnic School of Tunisia,
BP. 743, La Marsa,
Tunis 2078, Tunisia
e-mail: ali.tlili@ept.rnu.tn
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Ali Sghaier Tlili
Laboratory of Advanced Systems,
Polytechnic School of Tunisia,
BP. 743, La Marsa,
Tunis 2078, Tunisia
e-mail: ali.tlili@ept.rnu.tn
Polytechnic School of Tunisia,
BP. 743, La Marsa,
Tunis 2078, Tunisia
e-mail: ali.tlili@ept.rnu.tn
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 16, 2016; final manuscript received November 29, 2016; published online March 22, 2017. Assoc. Editor: Zongxuan Sun.
J. Dyn. Sys., Meas., Control. Jun 2017, 139(6): 061002 (8 pages)
Published Online: March 22, 2017
Article history
Received:
April 16, 2016
Revised:
November 29, 2016
Citation
Sghaier Tlili, A. (March 22, 2017). "Linear Matrix Inequality Robust Tracking Control Conditions for Nonlinear Disturbed Interconnected Systems." ASME. J. Dyn. Sys., Meas., Control. June 2017; 139(6): 061002. https://doi.org/10.1115/1.4035404
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