凸多面体不确定非线性变时滞系统的鲁棒H<sub>∞</sub>控制

凸多面体不确定非线性变时滞系统的鲁棒H_∞控制

基金项目:

国家自然科学基金资助项目(10771047)

吉林省教育厅科学技术研究项目(2012524)

详细信息

摘要: 针对一类同时具有凸多面体不确定性和非线性扰动的变时滞系统,这里的非线性项满足一种特殊的线性界,首先利用线性矩阵不等式给出系统强鲁棒稳定且满足H_∞性能指标的充分条件;然后设计状态反馈鲁棒H_∞控制器;最后给出仿真算例,验证了所得结果的可行性与有效性.
- 非线性变时滞系统 /
- 鲁棒H_∞控制 /
- 线性矩阵不等式 /
- 凸多面体不确定性
Abstract: Robust H_∞ control problem of nonlinear systems with time-varying delay and polytopic uncertainty is discussed. The nonlinear condition satisfying a type of especial linear bound is assumed. By using the linear matrix inequality technique, a sufficient condition for nonlinear time-delay systems, which is asymptotically stable and satisfies H_∞ performance, is given, and the explicit design method of the robust H_∞ controller is obtained. Finally, an numerical example is supplied to clarify the feasibility and effectiveness of the proposed results
- nonlinear time-varying delay systems /
- robust H_∞ control /
- linear matrix inequality /
- polytopic uncertainty