- author = "Marlen Meza-Sanchez and Maria {del Carmen Rodriguez-Linan} and Eddie Clemente",
- title = "Family of controllers based on sector non-linear functions: an application for first-order dynamical systems",
- journal = "IET Control Theory \& Applications",
- year = "2020",
- volume = "14",
- number = "10",
- pages = "1387--1392",
- keywords = "genetic algorithms, genetic programming, position control, asymptotic stability, control system synthesis, Lyapunov methods, robust control, nonlinear control systems, feedback, first-order dynamical systems, tracking control problems, nominal controllers, saturation bounds, constant bound value, control variable, sector nonlinear functions, traditional proportional controller, Spatial variables control, Nonlinear control systems, Stability in control theory, Control system analysis and synthesis methods",
- publisher = "The Institution of Engineering and Technology",
- ISSN = "1751-8644",
-
URL = "
https://www.human-competitive.org/sites/default/files/meza-sanchez_0.txt",
-
URL = "
https://www.human-competitive.org/sites/default/files/family_of_controllers_based_on_sector_nonlinear_functions-an_application_for_first_order_dynamical_systems_1.pdf",
-
URL = "https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0680",
-
DOI = "
doi:10.1049/iet-cta.2019.0680",
- size = "6 pages",
- abstract = "This study proposes the design of a family of controllers based on sector non-linear functions for first-order dynamical systems. Three new controllers that incorporate these types of functions are presented and analysed to validate the authors' premise. The proposed nominal controllers and an augmented version with integral action are presented. Asymptotic stability is proven under the Lyapunov theory and the controllers performance is compared against a traditional proportional controller. An empirically tuned relation depending on a constant bound value and an operation range is proposed; this is used to compute the gains of each controller. Simulation results with all of the controllers under saturation bounds are presented to illustrate the effectiveness of the method at solving the output regulation and the tracking control problems, under practical physical assumptions. The numerical comparison uses the L2 and Linfinity norms over the output error, and over the control variable, applying the same saturation bounds for each controller.",
-
notes = "2020 HUMIES finalist.
Departamento de Estudios de Posgrado e Investigacion, CONACYT-TecNM/I.T. Ensenada, Baja California, Mexico",
