CAJ | 학술논문

采用精细积分方法求解含双时滞受控系统的平凡平衡解,根据不同时滞量下系统响应的敛散性判断系统的稳定性,得到了时滞受控系统随时滞变化的稳定区域分布,避免了求解时滞系统特征方程的困难.在此基础上,分析了不同时滞量和反馈增益对系统稳定区域的影响规律,结果表明:随时滞量的变化,系统的稳定区域与不稳定区域是交替分布的,当2个反馈增益相差较大时,与较大的反馈增益相关的时滞量对系统的稳定性影响更为显著.
채용정세적분방법구해함쌍시체수공계통적평범평형해,근거불동시체량하계통향응적렴산성판단계통적은정성,득도료시체수공계통수시체변화적은정구역분포,피면료구해시체계통특정방정적곤난.재차기출상,분석료불동시체량화반궤증익대계통은정구역적영향규률,결과표명:수시체량적변화,계통적은정구역여불은정구역시교체분포적,당2개반궤증익상차교대시,여교대적반궤증익상관적시체량대계통적은정성영향경위현저.
The characteristic equation of control systems with time-delay is a transcendental equation containing exponential function, which has infinite roots difficult to be all solved. Aiming at solving dynamic equation of control system with double time delays, a precise integration method is chosen to obtain the distribution of stable regions of system with variational time delays and avoid the difficulty for solving the characteristic equation as taking different feedback control gains. The influence of different time delays and feedback control gains on distribution of stabile regions of system is discussed. It shows the cross distribution of stable and unstable areas, and the time delay related with the feedback gains with higher absolute value, exert a significant effect on stability of system, especially for the case of two quite different feedback gains.