基于虚拟参考反馈整定的改进无模型自适应控制

针对一类离散时间非线性系统, 提出一种基于虚拟参考反馈整定的改进无模型自适应控制方案. 首先, 利用动态线性化方法给出非线性系统的紧格式动态线性化模型; 然后, 基于优化技术设计控制算法和伪偏导数估计算法; 最后, 设计基于虚拟参考反馈整定的伪偏导数初值和重置值的估计算法. 该控制方案设计仅依赖于被控系统的输入和输出数据, 且能保证闭环系统的稳定性和收敛性. 仿真比较结果验证了所提出方法的有效性.

Improved model free adaptive control approach with virtual reference feedback tuning

An improved model-free adaptive control approach(iMFAC) with virtual reference feedback tuning(VRFT) is proposed for a class of discrete-time nonlinear systems. Firstly, the original nonlinear system is transformed into the compact form dynamic linearization(CFDL) data model by using dynamic linearization method. Then, the control algorithm and pseudo-partial-derivative(PPD) estimation algorithm are designed based on the optimization technique. Finally, estimation algorithms of the initial value and the reset value of PPD are designed based on virtual reference feedback tuning, respectively. The controller design depends merely on the measured input and output(I/O) data of the controlled plant and guarantees BIBO stability and tracking error convergence of the closed-loop system. Numerical simulation results show the effectiveness of  the proposed approach.