School of Electronic Information and Intelligent Manufacturing, SIAS University, Zhengzhou, Henan, China.
School of Computer and Artificial Intelligence (School of Software), Huaihua University, Huaihua, Hunan, China.
PLoS One. 2024 Oct 3;19(10):e0311215. doi: 10.1371/journal.pone.0311215. eCollection 2024.
This article explores the dissipative control for a class of nonlinear DP-CPS (distributed parameter cyber physical system) within a finite-time interval. By utilizing a Takagi-Sugeno (T-S) fuzzy model to represent the system's nonlinear aspects, the studied system is formulated as a class of fuzzy parabolic partial differential equation (PDE). In order to optimize network resources, both the system state and input signal are subjected to quantization using dynamic quantizers. Subsequently, a dynamic state control strategy is proposed, taking into account potential DoS attack. The finite-time boundedness of the fuzzy parabolic PDE is analyzed, with respect to the influence of quantization, through the construction of an appropriate Lyapunov functional. The article then presents the conditions for finite-time dissipative control design, alongside the adjustment parameters for the dynamic quantizers within the fuzzy closed-loop system. Furthermore, the decoupling of interlinked nonlinear terms in the control design conditions is achieved by using an arbitrary matrix. Finally, an example is provided and the simulation results indicate the effectiveness of the dissipative control method proposed.
本文研究了一类非线性 DP-CPS（分布式参数网络物理系统）在有限时间区间内的耗散控制问题。通过利用 Takagi-Sugeno（T-S）模糊模型来表示系统的非线性方面，所研究的系统被表述为一类模糊抛物型偏微分方程（PDE）。为了优化网络资源，系统状态和输入信号都使用动态量化器进行量化。随后，提出了一种动态状态控制策略，考虑到潜在的 DoS 攻击。通过构造适当的 Lyapunov 函数，分析了量化对模糊抛物 PDE 的有限时间有界性的影响。然后，本文给出了有限时间耗散控制设计的条件，并调整了模糊闭环系统中动态量化器的参数。此外，通过使用任意矩阵，实现了控制设计条件中互联非线性项的解耦。最后，提供了一个示例，仿真结果表明了所提出的耗散控制方法的有效性。
