Nonlinear General Integral Control Design via Equal Ratio Gain Technique

Baishun Liu
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引用次数: 4

Abstract

This paper proposes two kinds of nonlinear general integral controllers, that is, one is generic and another is practical, for a class of uncertain nonlinear system. By extending equal ratio gain technique to a canonical interval system matrix and using Lyapunov method, theorems to ensure regionally as well as semi-globally asymptotic stability are established in terms of some bounded information. Moreover, for the practical nonlinear integral controller, a real time method to evaluate the equal ratio coefficient is proposed such that its value can be chosen moderately. Theoretical analysis and simulation results demonstrated that not only nonlinear general integral control can effectively deal with the uncertain nonlinear system but also equal ratio gain technique is a powerful and practical tool to solve the control design problem of dynamics with the nonlinear and uncertain actions.
利用等比增益技术设计非线性一般积分控制
针对一类不确定非线性系统,提出了两种非线性通用积分控制器,一种是通用的,另一种是实用的。将等比增益技术推广到正则区间系统矩阵上,利用Lyapunov方法,建立了关于有界信息的区域和半全局渐近稳定定理。此外,针对实际的非线性积分控制器,提出了一种实时求等比系数的方法,使得等比系数的取值适中。理论分析和仿真结果表明,非线性一般积分控制不仅能有效地处理不确定非线性系统,而且等比增益技术是解决具有非线性和不确定作用的动力学控制设计问题的有力工具。
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