Sampled-data-based dissipative control of T-S fuzzy systems
Sampled-data-based dissipative control of T-S fuzzy systems
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DOI：
10.1016/j.apm.2018.08.012
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发表时间：
2019
影响因子：
5
通讯作者：
Hongbing Zeng;K. Teo;Yong He;Wei Wang
中科院分区：
文献类型：
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作者：
Hongbing Zeng;K. Teo;Yong He;Wei Wang
研究了基于采样数据的Takagi-Sugeno(TS)模糊系统的耗散控制问题。假设采样周期在间隔内变化。通过充分利用整个采样间隔的真实信息，我们提出了一种新的完全依赖于采样间隔的循环函数，它不仅依赖于x(T)到x(Tk)的间隔，而且还依赖于x(T)到x(tk+1)的间隔。在此函数的基础上，建立了严格(Q，S，R)−γ耗散的充分条件。此外，还提出了一种设计期望采样数据控制器的方法。它被应用于解决拖车和倒立摆的问题。从获得的结果可以看出，该方法是非常有效的。
This paper investigates the problem of sampled-data-based dissipative control of Takagi–Sugeno (TS) fuzzy systems. The sampling period is assumed to be varying within an interval. By making full use of realistic information about the whole sampling interval, we propose a novel complete sampling-interval-dependent looped function, which depends not only on the interval from x (t) to x (t k) but also on the interval from x (t) to x (t k+ 1). Based on this function, a sufficient condition is established, ensuring the considered system strictly (Q, S, R)− γ-dissipative. Furthermore, a approach to design desired sampled-data controllers is proposed. It is applied to solve the problems of a truck-trailer and an inverted pendulum. From the results obtained, we see that this approach is highly effective.