论文标题
具有匹配不确定性和完全未知的控制矩阵的MIMO切换系统的指数稳定MRAC
Exponentially Stable MRAC of MIMO Switched Systems with Matched Uncertainty and Completely Unknown Control Matrix
论文作者
论文摘要
在本文中，试图将指数稳定的自适应控制的概念扩展到具有匹配的非线性和未知的分段常数参数的一类多输入 - 多输出（MIMO）植物。在两个连续参数开关之间的间隔内，提出的自适应控制系统可确保：1）指数收敛到参数和参考模型跟踪误差的零，2）控制法律可调参数的单调性。如果回归器在每个此类间隔内的某个地方都有限令人兴奋，则可以保证这两种属性。与现有方法相比，提出的方法适用于具有未知的开关信号函数和完全未知的控制矩阵的系统。理论结果由数值实验支持。
In this paper an attempt is made to extend the concept of the exponentially stable adaptive control to one class of multi-input-multi-output (MIMO) plants with matched nonlinearity and unknown piecewise constant parameters. Within the intervals between two consecutive parameter switches, the proposed adaptive control system ensures: 1) exponential convergence to zero of the parameter and reference model tracking errors, 2) the monotonicity of the control law adjustable parameters. Both properties are guaranteed in case the regressor is finitely exciting somewhere inside each of such intervals. Compared to the existing methods, the proposed one is applicable to systems with unknown switching signal function and completely unknown control matrix. The theoretical results are supported by the numerical experiments.
