Novel fractional order Tikhonov regularization load reconstruction technique and its application
WANG Nengjian1，REN Chunping1，LIU Chunsheng2
1. College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001, China;
2. Heilongjiang University of Science and Technology, Harbin, 150022, China
Abstract：A novel fractional order Tikhonov regularization technique was proposed to deal with the ill-posed and sensitive to noise properties of the integer order Tikhonov regularization load reconstruction technique. The inverse problem was transformed into an unconstrained optimization problem, and the objective function was solved by using the super memory gradient method. The practicability and stability of the proposed technique were verified via an engineering example, which provides a new and effective method for solving inverse problems in engineering applications.
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