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Coexisting attractors in a fractional order hydro turbine governing system and fuzzy PID based chaos control
Author(s) -
Rajagopal Karthikeyan,
Jahanshahi Hadi,
Jafari Sajad,
Weldegiorgis Riessom,
Karthikeyan Anitha,
Duraisamy Prakash
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2261
Subject(s) - multistability , attractor , control theory (sociology) , lyapunov exponent , equilibrium point , pid controller , mathematics , turbine , controller (irrigation) , computer science , chaotic , nonlinear system , physics , engineering , control engineering , control (management) , mathematical analysis , differential equation , temperature control , agronomy , quantum mechanics , artificial intelligence , biology , thermodynamics
A fractional order model of a hydro turbine governing system (FOHTGS) is derived using the Grunwald‐Letnikov's (GL) method. This model is developed using its integer order. Dynamical properties of FOHTGS, such as equilibrium point and its stability, Hopf bifurcation, and Lyapunov exponents (LEs) are investigated. Different dynamics of FOHTGS with respect to changing fractional order of the system and its parameter are studied. The FOHTGS shows multistability and coexisting attractors. To support the existence of multistability, some coexisting attractors are presented. A fuzzy PID based chaos control algorithm is designed and proposed in a hydro turbine governing system (HTGS). Numerical simulations are conducted to validate the effectiveness of the derived controller.