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Adaptive fuzzy finite‐time fault‐tolerant control of nonlinear systems with state constraints and input quantization
International Journal of Adaptive Control and Signal Processing ( IF 3.9 ) Pub Date : 2020-08-03 , DOI: 10.1002/acs.3146
Changxin Lu 1 , Yingnan Pan 1 , Yang Liu 2 , Hongyi Li 2
Affiliation  

This article concentrates on an adaptive finite‐time fault‐tolerant fuzzy tracking control problem for nonstrict feedback nonlinear systems with input quantization and full‐state constraints. By utilizing the fuzzy logic systems and less adjustable parameters method, the unknown nonlinear functions are addressed in each step process. In addition, a dynamic surface control technique combined with fuzzy control is introduced to tackle the variable separation problem. The problem for the effect of quantization and unlimited number of actuator faults is tackled by a damping term with smooth function in the intermediate control law. Finite‐time stability is achieved by combining barrier Lyapunov functions and backstepping method. The finite‐time controller is designed such that all the responses of the systems are semiglobal practical finite‐time stable and ensured to remain in the predefined compact sets while tracking error converges to a small neighborhood of the origin in finite time. Finally, simulation examples are utilized to testify the validity of the investigated strategy.

中文翻译:

具有状态约束和输入量化的非线性系统的自适应模糊有限时间容错控制

本文主要针对具有输入量化和全状态约束的非严格反馈非线性系统的自适应有限时容错模糊跟踪控制问题。通过使用模糊逻辑系统和较少可调整的参数方法,在每个步骤过程中都会解决未知的非线性函数。另外,引入动态表面控制技术与模糊控制相结合来解决变量分离问题。在中间控制定律中,通过具有平滑函数的阻尼项解决了量化效应和致动器故障数量不受限制的问题。通过结合势垒李雅普诺夫函数和反推方法可以实现有限时的稳定性。有限时间控制器的设计使得系统的所有响应都是半全局实用的有限时间稳定的,并确保保留在预定义的紧凑集中,同时跟踪误差在有限时间内收敛到原点的一小部分。最后,通过仿真实例验证了所研究策略的有效性。
更新日期:2020-08-03
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