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针对离散时间模糊控制系统的状态估计问题,设计出一种新颖的多时刻依赖型模糊状态观测器.与已有结果不同,所设计的模糊状态观测器设计不仅依赖于当前时刻的模糊隶属函数,还依赖于过去时刻的模糊隶属函数;这些特性为状态估计设计引入更多的自由度,可以得到保守性显著降低的模糊状态观测器.此外,针对衍生出多时刻模糊求和问题,还提出了一种新型松弛变量技术来进一步降低模糊状态估计问题的保守性.特别地,本文所设计的模糊观测器属于可求解的一组线性矩阵不等式,所以具有较好的可实现性.最后,通过一组仿真实验来验证本文结果的优越性.
Aiming at the problem of state estimation of discrete-time fuzzy control system, a novel multi-time-dependent fuzzy state observer is designed.Different from the existing results, the design of fuzzy state observer not only depends on the fuzzy membership function of the current time, But also depend on the fuzzy membership function of the past tense. These features introduce more degrees of freedom for the state estimation design, and the fuzzy state observer with significantly lower conservativeness can be obtained. In addition, in order to derive the multi-time fuzzy summation problem, A new relaxation variable technique is proposed to further reduce the conservativeness of the fuzzy state estimation problem.In particular, the fuzzy observer designed in this paper belongs to a set of linear matrix inequalities that can be solved, so it has better implementability.Finally, Set of simulation experiments to verify the superiority of the results of this paper.