Feedback stabilization for one sided Lipschitz nonlinear systems in reciprocal state space: Synthesis and experimental validation-Reference-Cited by-同舟云学术

Feedback stabilization for one sided Lipschitz nonlinear systems in reciprocal state space: Synthesis and experimental validation

Published:2019-09-01 Issue:5 Volume:70 Page:412-417
ISSN:1339-309X
Container-title:Journal of Electrical Engineering
language:en
Short-container-title:

Author:

Thabet Assem¹,Frej Ghazi Bel Haj²,Gasmi Noussaiba³,Boutayeb Mohamed³

Affiliation:

1. Laboratoire de Recherche MACS University of Gabes , Tunisia

2. Centre de Recherche en Automatique de Nancy , University of Lorraine , France

3. IMS Laboratory , UMR 5218, University of Bordeaux , France

Abstract

Abstract This paper proposes a design of a stabilization control for one-sided Lipschitz (OSL) nonlinear systems in new reciprocal state space (RSS) framework. The main objective is to extend the state derivative feedback stabilization methods for a class of nonlinear systems where the nonlinearity of derivatives state satisfies the OSL properties in RSS. The presented controller is composed of a state derivative feedback approach in order to ensure asymptotic stability in the sense of Lyapunov. The first approach deals with the synthesis of a basic controller by adopting a simple transformation of Linear Matrix Inequality (LMI) to standard algebraic Ricatti equation (ARE). The second is an extension to adaptive version with adjustment parameters. High performances are shown through real-time implementation with a hardware in the loop (HIL) mode using digital signal processing (DSP) device (DSpace DS 1104).

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/jee-2019-0074

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