Hopf bifurcation control via a dynamic state-feedback control |
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| Authors: | Le Hoa Nguyen Keum-Shik Hong |
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| Institution: | a School of Mechanical Engineering, Pusan National University, 30 Jangjeon-dong, Gumjeong-gu, Busan 609-735, Republic of Korea
b Department of Cogno-Mechatronics Engineering and School of Mechanical Engineering, Pusan National University, 30 Jangjeon-dong, Gumjeong-gu, Busan 609-735, Republic of Korea |
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| Abstract: | To relocate two Hopf bifurcation points, simultaneously, to any desired locations in n-dimensional nonlinear systems, a novel dynamic state-feedback control law is proposed. Analytical schemes to determine the control gains according to the conditions for the emergence of Hopf bifurcation are derived. To verify the effectiveness of the proposed control law, numerical examples are provided. |
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| Keywords: | Bifurcation control Hopf bifurcation Dynamic state-feedback control |
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