The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
Transactions ID Number: 53-537
Full Name: Anna Patete
Position: Professor
Age: ON
Sex: Female
Address: Apartado 11, La Hechicera, Facultad de Ingeniería, Mérida 5101-A
Country: VENEZUELA
Tel: 02742402986
Tel prefix: 58
Fax: 02742402847
E-mail address: apatete@ula.ve
Other E-mails: pateteso@yahoo.com
Title of the Paper: Implementation of Numerical Non-Standard Discretization Methods on a Nonlinear Mechanical System
Authors as they appear in the Paper: Anna Patete, Maria Velasco, Jesus Rodriguez-Millan
Email addresses of all the authors: apatete@ula.ve, mvelasco@ula.ve, jrmillan@ula.ve
Number of paper pages: 11
Abstract: In this work, we shortly review the mathematical concepts of the well known numerical standard disctretization methods: Approximate, Exact and Truncated discretization methods and, the numerical non-standard discretization methods, named: Euler, Euler-Picard and Euler-Taylor-Picard discretization methods. The standard discretization methods are applicable to continuous linear dynamics and a very limited class of nonlinear continuous dynamics; while the non-standard discretization methods are applicable to linear and nonlinear dynamics in general. The non-standard discretization methods theory was developed recently and only simulated results were presented. Our contributions in this work are to show the obtained results and analysis from the digital implementation of linear and nonlinear control laws on a nonlinear control mechanical system: the simple pendulum, using the numerical standard and non-standard discretization methods to discretize the continuous dynami!
cs. Through the implementation we analyze the real validation of the numerical non-standard discretization methods. The results show that better approximation to the real data, obtained from the controlled real system, is given when the numerical non-standard discretization methods are used to dicretize the nonlinear dynamics. Also we validated the advantages of using digital nonlinear control laws on nonlinear control systems.
Keywords: Nonlinear control, Nonlinear discretization, Nonlinear state feedback, Numerical method, Mechanical system, Simple pendulum.
EXTENSION of the file: .pdf
Special (Invited) Session: Numerical Methods in Mechanics
Organizer of the Session: Professor Olga Martin and Professor Nikos Mastorakis
How Did you learn about congress: Numerical methods, Nonlinear control systems, Mechanical systems, Discretization
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