This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T-S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system to trace the trajectory of the states of a stable reference model subject to H∞ performance. To enhance the fuzzy controller design flexibility, the number of rules and premise membership functions can be adjusted. Stability analysis for the FMB control system is performed based on Lyapunov stability theory. To address the control input saturation problem, linear sectors are created by local linear upper and lower bounds to include the possible control area. Hence, the nonlinear saturation problem can be tackled by the stability analysis of linear sectors. The membership-functions-dependent technique is used to bring the information and address the nonlinearity of embedded membership functions into the stability analysis. The numerical simulation example demonstrates the effectiveness of the proposed approach and discusses the effect of H∞ performance and control input saturation rate according to the tracking result.

中文翻译：

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T__ 具有控制输入饱和的基于模糊模型的输出反馈跟踪控制


本文研究了控制输入饱和时基于模糊模型（FMB）控制系统的输出反馈跟踪控制，其中 FMB 是基于 TS 模糊模型和模糊控制器开发的。控制器用于闭合反馈环路并生成系统来跟踪受 H∞ 性能影响的稳定参考模型的状态轨迹。为了增强模糊控制器设计的灵活性，可以调整规则的数量和前提隶属函数。基于Lyapunov稳定性理论对FMB控制系统进行稳定性分析。为了解决控制输入饱和问题，通过局部线性上限和下限创建线性扇区以包括可能的控制区域。因此，非线性饱和问题可以通过线性扇区的稳定性分析来解决。隶属函数相关技术用于将信息引入稳定性分析中并解决嵌入隶属函数的非线性问题。数值仿真实例证明了该方法的有效性，并根据跟踪结果讨论了H∞性能和控制输入饱和率的影响。