Stability and stabilization of delayed fuzzy systems via a novel quadratic polynomial inequality
Stability and stabilization of delayed fuzzy systems via a novel quadratic polynomial inequality
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DOI：
10.1016/j.jfranklin.2022.08.032
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发表时间：
2022-09
期刊：
影响因子：
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通讯作者：
Runmin Zou;Tianqing Yang;Fang Liu;Zhenqi Fan;D. Sidorov
中科院分区：
文献类型：
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作者：
Runmin Zou;Tianqing Yang;Fang Liu;Zhenqi Fan;D. Sidorov
研究了一类具有时变时滞的Takagi-Sugeno（TS）模糊系统的稳定性与镇定问题。通过引入可调参数l，提出了一个新的二次多项式不等式，以减少与以前的工作的估计差距。构造了一个包含新的s-依赖积分项的Lyapunov-Krasovskii泛函（LKF），并将广义自由矩阵积分不等式（GFMBII）与该不等式相结合，进一步改进了时滞依赖稳定性条件.最后，通过四个典型的数值算例验证了所提出的稳定性判据和控制器设计方法的有效性和可行性。
The stability and stabilization problems of a class of Takagi-Sugeno (TS) fuzzy systems with time-varying delay are concerned in this paper. By introducing the tunable parameter l, a novel quadratic polynomial inequality is proposed to reduce the estimation gap with previous work. Sequentially, an appropriate Lyapunov-Krasovskii functional (LKF) containing some new s-dependent integral terms is constructed, the delay-dependent stability condition is further improved by combining the generalized free-matrix-based integral inequality (GFMBII) with the proposed inequality. Finally, four typical numerical examples are carried out to demonstrate the validity and feasibility of the stability criterion and controller design method.