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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
computer science
A Nonlinear Optimal Control Approach for Industrial Production under an Oligopoly Model
IEEE Systems Journal, Volume 13, No. 2, Article 8470943, Year 2019
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Description
A nonlinear optimal (H-infinity) control method is proposed for industrial production under an oligopoly model. First, the dynamics of the oligopoly undergoes approximate linearization around a temporary operating point (equilibrium), which is recomputed at each time step of the control method. The equilibrium comprises the present value of the production system's state vector and the last value of the control inputs vector that was exerted on it. The linearization procedure makes use of the first-order Taylor series expansion and of the computation of the Jacobian matrices of the state-space description of the system. For the approximately linearized model of the system, an H-infinity (optimal) feedback controller is designed. For the computation of the controller's feedback gain, an algebraic Riccati equation is solved at each time step of the control method. The global asymptotic stability properties of the control scheme are analyzed with the use of the Lyapunov method. © 2007-2012 IEEE.
Authors & Co-Authors
Rigatos, Gerasimos G.
Greece, Patra
Industrial Systems Institute
Siano, Pierluigi
Italy, Salerno
Università Degli Studi Di Salerno
Ghosh, Taniya
India, Mumbai
Indira Gandhi Institute of Development Research
Xin, Baogui
China, Qingdao
Shandong University of Science and Technology
Statistics
Citations: 6
Authors: 4
Affiliations: 4
Identifiers
Doi:
10.1109/JSYST.2018.2866431
ISSN:
19328184