一类带有时变时滞的模糊双线性系统的稳定控制
doi: 10.3724/SP.J.1146.2008.00666
Stability Control for a Class of Fuzzy Bilinear System with Time-Varying Delay
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摘要: 该文研究了一类输入和状态都带有时变时滞的模糊双线性系统的稳定控制问题。基于并行分布补偿算法(PDC)和自由权值矩阵，得到了系统时滞相关的渐近稳定的充分条件，并把这些条件转换成线性矩阵不等式(LMI)的形式，模糊控制器可以由一组线性矩阵不等式的解得到。最后，通过仿真数例验证了所提方法的有效性。Abstract: The stability control problem is considered for a class of Fuzzy Bilinear Systems (FBS) with time- varying delay in both state and input. Based on the Parallel Distributed Compensation (PDC) method and free-weighting matrices,some sufficient conditions are derived to guarantee the global asymptotically stability of the overall fuzzy system. The stabilization conditions are further formulated into Linear Matrix Inequalities (LMIs) so that the desired controller can be easily obtained by using the Matlab LMI toolbox. A numerical example is given to show the effectiveness of the presented approach.
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