On Feedback Control Techniques of Nonlinear Analytic Systems



Título del documento: On Feedback Control Techniques of Nonlinear Analytic Systems
Revue: Journal of applied research and technology
Base de datos: PERIÓDICA
Número de sistema: 000384256
ISSN: 1665-6423
Autores: 1
1
Instituciones: 1University of Carthage, Polytechnic School of Tunisia, Tunis, Belvedere. Túnez
Año:
Periodo: Jun
Volumen: 12
Número: 3
Paginación: 500-513
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés This paper presents three approaches dealing with the feedback control of nonlinear analytic systems. The first one treats the optimal control resolution for a control-affine nonlinear system using the State Dependant Riccati Equation (SDRE) method. It aims to solve a nonlinear optimal control problem through a Riccati equation that depends on the state. The second approach treats a procedure of constructing an analytic expression of a nonlinear state feedback solution of an optimal regulation problem with the help of Kronecker tensor notations. The third one deals with the global asymptotic stabilization of the nonlinear polynomial systems. The designed state feedback control law stabilizes quadratically the studied systems. Our main contribution in this paper is to carry out a stability analysis for this kind of systems and to develop new sufficient conditions of stability. A numerical-simulation-based comparison of the three methods is finally performed
Disciplinas: Ingeniería
Palabras clave: Ingeniería de control,
Sistemas no lineales,
Control óptimo,
Ecuación de Riccati,
Análisis de estabilidad
Keyword: Engineering,
Control engineering,
Nonlinear systems,
Optimal control,
Riccati equation,
Stability analysis
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