摘要
稳定性是控制系统正常工作的首要条件,因此对稳定性的研究一直是控制理论的热点。对稳定性的研究方法除了古典控制理论的经典判据外,用得最多的就是现代控制理论中的李雅普诺夫第一法和第二法。然而,以上方法均存在计算量大或绘图繁杂的缺点,本文基于古典控制理论的劳斯-胡尔维茨稳定判据给出了一种线性系统稳定性的简易判别方法,其求解步骤简便,操作性强,并给出了相应的算例。
Stability is vital for control system at regular work, so the research of it always becomes the hot spot in control area. Beside the classic criteria in classical theory, the first and second method of Lyapunov is used more in modem control theory, but all the methods mentioned might exists too much calculation or much complex drawing. On the base of Routh and Hurwitz＇s stability criterion in classical area, this paper puts forward an easy distinguish method for a kind of linear system＇s stability, and gives some relevant examples. The method has less resolve steps and easy to operate.
出处
《自动化与仪器仪表》
2007年第3期71-73,共3页
Automation & Instrumentation
