摘要
文章对一类由Delta算子描述的具有范数有界不确定性的T-S模糊系统,研究其静态输出反馈鲁棒镇定问题;利用Delta域的Lyapunov稳定性理论,基于矩阵相似变换,得到使模糊Delta算子系统鲁棒镇定的静态输出反馈控制器存在的充分条件;并用一组线性矩阵不等式(LMI)的可行解,直接利用Matlab中的LMI工具箱验证求解,给出输出反馈鲁棒控制器的一个参数化表达形式。
Robust static output-feedback stabilization of a class of delta operator formulated systems in the T-S fuzzy framework is studied. Based on the Lyapunov＇s stability theory, sufficient conditions for the stability of closed-loop fuzzy systems and the existence of the stabilization controller are derived and shown to be equivalent to the solvability of a certain linear matrix inequality（LMI） system by using a matrix similarity transformation. Furthermore, a parameterized representation of a set of desired controllers is characterized in terms of the feasible solutions to the LMIs.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第10期1281-1286,共6页
Journal of Hefei University of Technology：Natural Science
基金
上海市教育委员会资助项目(06RZ002)
上海市教育高地建设资助项目
