en ارتعاشات Vibration, noise, Acoustic پژوهشي Research <span style="font-size:11.0pt"><span style="line-height:115%"><span calibri="" style="font-family:">This research proposes a robust fuzzy adaptive fractional-order proportional-integral-derivative (PID) controller for an active suspension system of a quarter-car model. For this, the research first designed the PID controller using chassis acceleration and relative displacement. Next, it utilized the chain derivative rule and the gradient descent mechanism to formulate adaptation rules based on integral sliding surfaces. In the next step, the control parameters were regulated by employing a fuzzy system comprising the product inference engine, singleton fuzzifier, and center average defuzzifier. Eventually, the optimum gains of the proposed controller were determined by running a multi-objective material generation algorithm (MOMGA). Simulation results implied the superiority of the proposed controller over other controllers in handling road irregularities.</span></span></span> Fractional-order PID controller, Multi-objective algorithm, Active suspension system, Adaptive robust control, Quarter-car model, Fuzzy system 4784 4795 http://ase.iust.ac.ir/browse.php?a_code=A-10-613-1&slc_lang=en&sid=1 Mohammad Javad Mahmoodabadi mahmoodabadi@sirjantech.ac.ir 180031947532846005172 180031947532846005172 Yes Department of Mechanical Engineering, Sirjan University of Technology abolfazl Ansarian abolfazl.ansarian7478@gmail.com 180031947532846005173 180031947532846005173 No Department of Electrical and Computer Engineering, Isfahan University of Technology tayebeh Zohari tayebeh.zohari@mail.polimi.it 180031947532846005174 180031947532846005174 No Department of Mechanical Engineering, University of Politecnico di Milano,