School of Mechanical and Electrical Engineering China Jiliang University Hangzhou 310018 China;
Key Laboratory of Mechanism Theory and Equipment Design Ministry of Education Tianjin University Tianjin 300072 China;
Key Laboratory of Mechanism Theory and Equipment Design Ministry of Education Tianjin University Tianjin 300072 China;
modified generalized Prandtl-Ishlinskii model; pneumatic artificial muscle; hysteresis; envelope function; control;