Adaptive fuzzy backstepping output feedback control for a class of MIMO time-delay nonlinear systems based on high-gain observer

作者：Li Yongming; Ren Chang'e^*; Tong Shaocheng

来源：Nonlinear Dynamics, 2012, 67(2): 1175-1191.

DOI：10.1007/s11071-011-0061-z

• MIMO time-delay nonlinear systems
• Fuzzy logic systems
• Adaptive output feedback control
• Backstepping design
• High-gain state observer
• Stability analysis

In this paper, an adaptive fuzzy backstepping output feedback control approach is developed for a class of multiinput and multioutput (MIMO) nonlinear systems with time delays and immeasurable states. Fuzzy logic systems are employed to approximate the unknown nonlinear functions, and an adaptive fuzzy high-gain observer is developed to estimate the unmeasured states. Using the designed high-gain observer, and combining the fuzzy adaptive control theory with the backstepping approach, an adaptive fuzzy output feedback control is constructed recursively. It is proved that all the signals of the closed-loop adaptive control system are semiglobally uniformly ultimately bounded (SUUB) and the tracking error converges to a small neighborhood of the origin.

• 出版日期2012-1
• 单位辽宁工业大学