Decentralized finite-horizon suboptimal control for nonlinear interconnected dynamic systems using SDRE approach. (July 2019)

• Record Type: Journal Article
• Authors: Feydi, Ahmed; Elloumi, Salwa; Jammazi, Chaker; Benhadj Braiek, Naceur
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 41:Number 11(2019)
• Page Start: 3264
• Page End: 3275
• Publication Date: 2019-07
• Subjects: Decentralized suboptimal control -- decentralized finite-state-dependent Riccati equation -- interconnected nonlinear systems -- Lyapunov theory; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331218820916
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper introduces a new approach to ensure the decentralized horizon suboptimal control of interconnected nonlinear systems based on the decentralized finite-state-dependent Riccati equation. This approach is, in fact, a new extension of the state-dependent Riccati equation technique with a finite horizon for the case of large-scale nonlinear systems, which are characterized by the interconnection of n subsystems. The main finding in this work is the use of the Lyapunov direct method of stability analysis, associated with a quadratic function, in order to determine a new sufficient condition to guarantee the global asymptotic stability of the studied systems. We conducted advanced simulations of this new control method on three interconnected inverted pendulums. Our results demonstrate its efficiency and the sufficiency of the new stability conditions.