LPV gain-scheduling control with time-varying sampling time for rejecting nonstationary harmonically related multisine disturbances

Author(s):  
Xinyu Shu ◽  
Pablo Ballesteros ◽  
Christian Bohn
Author(s):  
Kazuhiko Hiramoto

A new collaborative control strategy between time varying design parameters in LPV plants and the feedback controllers is proposed in the present paper. As the feedback control law the gain scheduling control scheme is adopted to guarantee the closed-loop L2 gain performance against the variation of the time varying parameter in the control object. The gain-scheduling controller can be obtained in an analytical manner by solving LMIs. For the closed-loop system with the LPV plant and the gain scheduling controller Genetic algorithm (GA), known as a so-called intelligent optimization method, is applied to optimize the closed-loop response. The proposed control system has a complementary structure between the LMI-based analytical control strategy and the flexible intelligent control method that does not impair their advantages each other. In this sense a win-win situation for the LMI-based gain scheduling control and the GA-based intelligent optimization is realized in the proposed approach. A simple simulation example is presented to show the effectiveness of the proposed method.


2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Lázaro Ismael Hardy Llins ◽  
Edvaldo Assunção ◽  
Marcelo C. M. Teixeira ◽  
Rodrigo Cardim ◽  
Mario R. R. Cadalso ◽  
...  

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 D-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.


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