Stability and stabilization of fuzzy time-delay systems
Stability and stabilization of fuzzy time-delay systems
复制标题
模糊时滞系统的稳定性和镇定性
DOI：
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发表时间：
2004
期刊：
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通讯作者：
J. Yoneyama
中科院分区：
文献类型：
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作者：
J. Yoneyama
本文研究了Takagi-Sugeno模糊时滞系统的稳定性和镇定问题。众所周知，Takagi-Sugeno模糊系统是非线性系统的近似，甚至可以精确地描述一类非线性系统。另一方面，时滞系统出现在许多实际系统和数学公式中。因此，Takagi-Sugeno模糊时滞系统描述了一类广泛的非线性系统。对于这些模糊时滞系统，我们首先进行了稳定性分析，得到了稳定的充分条件。我们在这里得到的充分条件依赖于时间延迟的最大值，并在线性矩阵不等式（LMF）。接下来，我们考虑稳定化问题。基于稳定性条件，得到了闭环系统稳定的时变充分条件，并给出了镇定控制器的设计方法。此外，我们考虑了Takagi-Sugeno模糊中立系统的稳定性和镇定性。采用广义系统方法分析模糊中立系统的稳定性和镇定性。类似地，我们得到了中立型系统稳定性的时间依赖的充分条件。我们还得到了中立型系统可镇定的充分条件。
In this paper, we consider the stability and stabilization of Takagi-Sugeno fuzzy time-delay systems. It is well-known that Takagi-Sugeno fuzzy systems approximate nonlinear systems and they can even describe a certain class of nonlinear systems exactly. On the other hand, time-delay systems appear in many practical systems and mathematical formulations. Thus Takagi-Sugeno fuzzy time-delay systems describe a wide class of nonlinear systems. For these fuzzy time-delay systems, we first make stability analysis and obtain sufficient conditions for the stability. Sufficient conditions we obtain here depend on the maximum value of time-delay and are given in linear matrix inequalities (LMFs). Next, we consider the stabilization problem. Based on the stability conditions, we obtain time-dependent sufficient conditions for the closed-loop system to be stable, and give a design method of stabilizing controllers. Furthermore, we consider the stability and stabilization for Takagi-Sugeno fuzzy neutral systems. Descriptor system approach is taken to analyze the stability and stabilization of fuzzy neutral systems. Similarly, we obtain time-dependent sufficient conditions for the stability of neutral systems. We also obtain sufficient conditions on the stabilization of neutral systems.