控制系统实的第二标准型绝对稳定的显式准则
Explicit Criteria of Absolute Stability for the Real Second Canonical Form of Control System
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摘要: 本文给出的非线性控制系统实的第二标准型绝对稳定的显式准则,包含并改进了文[1]所得到的判别准则。将本文准则应用于着名的飞机纵向运动方程,所得结果包含并改进了文[1,2,3,4]中所得到的相应结论。Abstract: In this paper, some explicit criteria of absolute stability for the trivial solution of the real second canonical form of non-linear control system are given, which include and improve the criteria in paper [1]. By applying these criteria to the well-known equation of the longitudinal motion of aircraft, some results are obtained, which include and improve the corresponding results in papers [1, 2, 3, 4].
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[1] 裘晓钢、舒仲周,控制系统第二标准型的绝对稳定性准则,应用数学和力学,7(9)(1986),785-789. [2] 廖晓听,关于控制系统的绝对稳定性准则.应用数学和力学,3(2)(1982),235-247. [3] 王慕秋,稳定性参数区域之扩大.数学学报,18(2)(1975), 107-122. [4] Michel,A.N.,Stability analysis of interconnected systems,SIAM.J.Control,12,8(1974),554-579. [5] Letov,A.M.,Stability of Nonlinear Controls,1st ed.Princeton Univ.Press,Princeton,New Jersey,1961.(in Russian,1955). [6] Zhao Su-xia,On absolute stability of control system with several executive elements,Scientia(Series A),8(1987),785-792. [7] 高国成,控制系统第二标准型绝对稳定性实用准则,山东矿业学院学报,9(3) (1990),308-313. -
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