Affiliations: University Institute of Engineering & Technology,
Panjab University, Chandigarh, India | Department of Mechanical Engineering, Indian Institute
of Technology, Hauz Khas, New Delhi-110016, India
Note: [] Corresponding author: Dr. Manu Sharma, Lecturer, University
Institute of Engineering & Technology, Panjab University, Chandigarh,
India. Tel.: +91 172 2534977; E-mail: sharma_iitd@yahoo.co.in
Abstract: In this paper, fuzzy logic is meshed with sliding mode control, in
order to control vibrations of a cantilevered plate. Test plate is instrumented
with a piezoelectric sensor patch and a piezoelectric actuator patch. Finite
element method is used to obtain mathematical model of the test plate. A design
approach of a sliding mode controller for linear systems with mismatched
time-varying uncertainties is used in this paper. It is found that chattering
around the sliding surface in the sliding mode control can be checked by the
proposed fuzzy sliding mode control approach. With presented fuzzy sliding mode
approach the actuator voltage time response has a smooth decay. This is
important because an abrupt decay can excite higher modes in the structure.
Fuzzy rule base consisting of nine rules, is generated from the sliding mode
inequality. Experimental implementation of the control approach verify the
theoretical findings. For experimental implementation, size of the problem is
reduced using modal truncation technique. Modal displacements as well as
velocities of first two modes are observed using real-time kalman observer.
Real time implementation of fuzzy logic based control has always been a
challenge because a given set of rules has to be executed in every sampling
interval. Results in this paper establish feasibility of experimental
implementation of presented fuzzy logic based controller for active vibration
control.
