Control of time-varying delay systems with uncertain parameters via fuzzy-modeled prescribed performance control approach
Journal article
Authors/Editors
Strategic Research Themes
Publication Details
Author list: Ruangsang S., Jirasereeamornkul K., Assawinchaichote W.
Publication year: 2020
Journal: International Journal of Innovative Computing, Information and Control (1349-4198)
Volume number: 16
Issue number: 2
Start page: 457
End page: 479
Number of pages: 23
ISSN: 1349-4198
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
Abstract
This paper deals with the problem of robust control for time-varying delay systems with uncertain parameters and disturbances which have the inexactly measured state via the Fuzzy-Modeled Prescribed Performance Control (F-PPC) procedure. The system models are assumed to depend on the phenomena of uncertain parameters and disturbances which are frequently encountered in most real dynamical systems as well as a time-varying delay of systems. To describe the uncertain nonlinearities with time-varying delay systems in the Takagi-Sugeno (T-S) fuzzy model, the global behavior of a nonlinear system can be simply represented using the T-S plant rule models. Then, a novel controller is computed by the linear matrix inequality (LMI) conditions. The obtained controller guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. The control design is applied to the nonlinear benchmark problems to illustrate the benefits and applicability of the proposed method. The results also show that the proposed F-PPC approach guarantees the fulfillment of both the asymptotic stability and the prescribed performance index. © 2020 ICIC International. All rights reerved.
Keywords
Prescribed performance control, Uncertain parameter systems
Contact Information