摘要
针对状态和输入控制同时具有时滞依赖的不确定广义非线性系统,研究了鲁棒非脆弱H∞控制器的设计问题。假定其中的不确定性是范数有界的,并且系统的状态是完全可测的。通过构造广义Lyapunov函数,给出了使该非线性广义系统二次稳定的充分条件和非脆弱H∞控制器的存在条件。这些条件都是以线性矩阵不等式的形式给出的,当这些条件可解时,就可得到非线性广义系统的鲁棒非脆弱H∞控制器。最后,用数值算例及仿真验证了所给方法的有效性。
The problem of robust non-fragile H∞ controller for a class of uncertain time-delay non-linear singular systems is discussed in this paper.The dependent time-delay in singular systems exists in both state variable and input variable.Suppose that the uncertainties are norm-bounded and the states of the singular systems are all available,based on Lyapunov function,a sufficient condition of robust quadratic stabilization is given by matrix inequalities.Meanwhile,the design method of non-fragile H∞ controller for the singular systems is also given by linear matrix inequalities.When this linear matrix inequality is feasible,robust non-fragile H∞ controller can be obtained.At last,a numerical example is presented to illustrate the validity of this approach.
出处
《北京信息科技大学学报（自然科学版）》
2011年第4期30-34,共5页
Journal of Beijing Information Science and Technology University
基金
国家自然科学基金项目(11072038)
北京市自然科学基金项目(4082010)
关键词
时滞
非线性系统
广义系统
非脆弱控制
H∞控制
time delay； non-linear systems； singular systems； non-fragile control； H-infinity control；
