Static output feedback control for discrete-time fuzzy bilinear system

The problem of designing fuzzy static output feedback controller for T-S discrete-time fuzzy bilinear system （DFBS） is presented. Based on parallel distribution compensation method, some sufficient conditions are derived to guarantee the stability of the overall fuzzy system. The stabilization conditions are further formulated into linear matrix inequality （LMI） so that the desired controller can be easily obtained by using the Matlab LMI toolbox. In comparison with the existing results, the drawbacks, such as coordinate transformation, same output matrices, have been elim- inated. Finally, a simulation example shows that the approach is effective.

关联大系统的静态输出反馈控制

研究了一类基于T-S双线性模型的非线性关联大系统的分散静态输出控制反馈问题。应用Lyapunov稳定性分析理论,得到了闭环关联大系统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,相应的分散模糊控制器可由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。

一类模糊非脆弱静态输出反馈控制器的设计

提出一种离散模糊非脆弱静态输出控制器的设计方法。在控制器增益存在加性摄动的情况下,基于并行分布补偿基本思想(PDC),提出一个判定了闭环离散模糊双线性系统稳定的充分条件。这些充分条件可进一步转化为线性矩阵不等式(LMI)的形式,模糊控制器通过求解线性矩阵不等式得到。仿真实例验证了所提方法的有效性。