CAJ | 학술논문

通过对超空泡航行体的动力学描述，采用分段线性滑行力函数拟合复杂非线性滑行力函数，构建了超空泡航行体闭环控制动力学模型，获得以反馈控制增益为可变参数的四维混沌系统。利用相轨图、庞加莱映射、分岔图和Lyapunov 指数等动力学分析工具，分析不同反馈控制增益变化时系统复杂的动力学行为。结果表明，超空泡航行体闭环控制动力学行为依赖于各个闭环控制增益，随着这些参数的变化，系统存在分岔、混沌、周期窗、共存吸引子和不完全费根鲍姆树等奇异的非线性物理现象；合理选择反馈增益，能够实现超空泡航行体的稳定航行。研究结果将对超空泡航行体反馈控制器的设计具有重要的指导意义。
통과대초공포항행체적동역학묘술，채용분단선성활행력함수의합복잡비선성활행력함수，구건료초공포항행체폐배공제동역학모형，획득이반궤공제증익위가변삼수적사유혼돈계통。이용상궤도、방가래영사、분차도화Lyapunov 지수등동역학분석공구，분석불동반궤공제증익변화시계통복잡적동역학행위。결과표명，초공포항행체폐배공제동역학행위의뢰우각개폐배공제증익，수착저사삼수적변화，계통존재분차、혼돈、주기창、공존흡인자화불완전비근포모수등기이적비선성물리현상；합리선택반궤증익，능구실현초공포항행체적은정항행。연구결과장대초공포항행체반궤공제기적설계구유중요적지도의의。
By describing dynamics of supercavitating vehicles and utilizing a piecewise-linear sliding force function to fit a complex nonlinear sliding force function,a closed-loop control dynamic model for a supercavitating vehicle was constructed,a four-dimensional chaotic system with feedback control gains as variable parameters was obtained.By using dynamic analysis tools,such as,phase portrait,Poincarémap,bifurcation diagram and Lyapunov exponent,the complex dynamic behaviors of the system with variation of different feedback control gains were analyzed.The results indicated that the closed-loop control dynamic behaviors of supercavitating vehicles depend on each closed-loop control gain;with these parameters'varying,the novel nonlinear phenomena,such as,bifurcation,chaos,periodic window,co-existing attractor, imperfect Feigenbaum-tree and so on appear;the stable motion of supercavitating vehicles can be realized by choosing appropriate feedback gains.The study results provided a guidance for feedback controller design of supercavitating vehicles.