由使用所谓的 SP 稳定的多项式,这篇论文与输入浸透重新考虑线性系统的全球稳定的问题。第一,借助于所谓的州依赖者的浸透功能由浸透功能的平行连接组成的一条新非线性的反馈法律为综合者系统的链的全球稳定被建议。当一些状态糟糕显著地被放大并且能改善靠近环的系统的短暂表演时,州依赖者的浸透函数允许增加控制精力。第二,这类全球稳定非线性的反馈法律被扩大到能被围住的控制全球性稳定的线性系统的一个班。数字例子显示出建议途径的有效性。
By using the so-called SP-stable polynomials, this paper reconsiders the problem of global stabilization of linear systems with input saturation. Firstly, a new nonlinear feedback law consisting of parallel connections of saturation functions by means of the so-called state-dependent saturation function is proposed for global stabilization of chains of integrators system. The state-dependent saturation function allows increasing the control energy when some of the states are badly scaled and can improve significantly the transient performances of the closed-loop system. Secondly, this type of global stabilization nonlinear feedback laws is extended to a class of linear systems that can be globally stabilized by bounded controls. Numerical examples show the effectiveness of the proposed approach.