论文标题
多变量系统家族的全格式自适应控制
Full-Form Model-Free Adaptive Control for a Family of Multivariable System
论文作者
论文摘要
该对应关系根据多变量非线性系统提出了一种无模型的自适应控制（MFAC）（MFAC）。与当前的MFAC相比，i）该控制定律没有分母，这是源于反矩阵的规范，并且不可避免地会错过系统的输入和输出（I/O）之间的耦合关系。 ii）当前的对角线矩阵的限制性假设减小以扩展其应用。 iii）基于全格式EDLM的MFAC比基于部分形式和紧凑形式EDLM的当前MFAC更一般。最后，已经证明了跟踪误差和BIBO稳定性的收敛性，这是MFAC中的开放问题之一。
This correspondence proposes a kind of model-free adaptive control (MFAC) on the basis of full-form equivalent-dynamic-linearization model (EDLM) for the multivariable nonlinear system. Compared with the current MFAC, i) this control law does not have denominator, which is stemmed from the norm of the inverse matrix and it inevitably misses the coupling relationships among the inputs and outputs (I/O) of systems. ii) the current restrictive assumption of a diagonally dominant matrix is reduced to extend its application. iii) the MFAC based on full-form EDLM is more general than the current MFAC based on partial-form and compact-form EDLM. At last, the convergence of tracking error and the BIBO stability of controlled system have been proved, which is one of the open questions in MFAC.
