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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 1512679, 11 pages
Research Article

Design of Gain Scheduling Control Using State Derivative Feedback

1Department of Electrical Engineering, Ilha Solteira School of Engineering, São Paulo State University (UNESP), Control Research Laboratory, José Carlos Rossi Ave. 1370, 15385-000 Ilha Solteira, SP, Brazil
2Federal Institute of Education, Science and Technology of Mato Grosso do Sul (IFMS), Campus of Três Lagoas, 79.641-162 Três Lagoas, MS, Brazil
3Academic Department of Electrical Engineering, Federal Technological University of Paraná (UTFPR), Alberto Carazzai Ave. 1640, 86300-000 Cornélio Procópio, PR, Brazil

Correspondence should be addressed to Lázaro Ismael Hardy Llins

Received 2 July 2017; Revised 10 November 2017; Accepted 19 November 2017; Published 17 December 2017

Academic Editor: Haranath Kar

Copyright © 2017 Lázaro Ismael Hardy Llins et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In recent years, the study of systems subject to time-varying parameters has awakened the interest of many researchers. The gain scheduling control strategy guarantees a good performance for systems of this type and also is considered as the simplest to deal with problems of this nature. Moreover, the class of systems in which the state derivative signals are easier to obtain than the state signals, such as in the control for reducing vibrations in a mechanical system, has gained an important hole in control theory. Considering those ideas, we propose sufficient conditions via LMI for designing a gain scheduling controller using state derivative feedback. The -stability methodology was used for improving the performance of the transitory response. Practical implementation in an active suspension system and comparison with other methods validates the efficiency of the proposed strategy.