CAJ | 학술논문

本文研究了一个新的非线性动力系统的Hopf分岔极限环幅值的控制问题。基于非线性动力系统的分岔控制理论，自主设计了一个具有普遍意义的非线性控制器。对应本系统应用具体的非线性控制器实现了Hopf分岔极限环幅值的反馈控制，同时得到了计算极限环幅值近似值的计算公式，最后数值模拟验证了本文理论分析的正确性及控制方法的有效性。
본문연구료일개신적비선성동력계통적Hopf분차겁한배폭치적공제문제。기우비선성동력계통적분차공제이론，자주설계료일개구유보편의의적비선성공제기。대응본계통응용구체적비선성공제기실현료Hopf분차겁한배폭치적반궤공제，동시득도료계산겁한배폭치근사치적계산공식，최후수치모의험증료본문이론분석적정학성급공제방법적유효성。
In this paper, we study the amplitude control problem of limit cycle of Hopf bifurca-tion in a new nonlinear dynamical system. Based on the bifurcation control theory of nonlinear dynamic systems, a universal nonlinear controller is designed. By applying a specific nonlinear controller to the system, we succeed in feedbacking controlling amplitudes of limit cycle of the Hopf bifurcation. We also get the computational formula for approximately calculating ampli-tudes of the limit cycle. Finally, a series of numerical simulations verify the correctness of the theoretical analysis and the effectiveness of the proposed control method.