The Simplest Takagi–Sugeno Fuzzy Controller-Based Control Strategy for Collocated Systems

Control of multi-mode resonant systems is a challenging task. They exhibit vibrations and are lightly damped making them highly susceptible to mechanical resonance. Many inherent nonlinearities such as hysteresis and creep are exhibited by such systems. The conventional control method employed in such kind of systems is a damping controller and a tracking controller to deal with nonlinearity and resonance. The damping controller used in this paper is the Integral Resonant Controller (IRC). Integral or Proportional–Integral (PI) controllers are used as conventional tracking controller. In this paper, the simplest Takagi–Sugeno (TS) fuzzy controller is introduced for improved tracking performance with lesser vibrations in presence of hysteresis nonlinearity. The TS fuzzy controller is the simplest controller as only two input fuzzy sets are considered. Fuzzy controllers can easily handle nonlinearities due to their structure.