Work

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

Year: 2019

Type: article

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).

Source: Journal of Electrical Engineering

DOI: 10.2478/jee-2019-0074

Authors: Assem Thabet, Ghazi Bel Haj Frej, Noussaiba Gasmi, Mohamed Boutayeb

Institutions: University of Gabès, CRAN, Université de Lorraine, Université de Bordeaux, Laboratoire de l'Intégration du Matériau au Système

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2990980581

FWCI: 0.116

Cites: 25

Cited by: 9

Related to: 10