Normal Forms of Linear Time-Varying Systems With Applications to Output-Feedback Stabilization and Tracking
研究了多输入多输出线性时变系统的规范型变换，基于此分析了内部与外部动态及逆系统，并解决了输出反馈镇定和输出跟踪问题。
This article examines the normal form of a multiple-input-multiple-output (MIMO) linear time-varying (LTV) system. It explores the transformation of such a system into its normal form using an LTV transformation, if it possesses a general relative degree that may not be uniform (strict). Based on the obtained normal form, the internal and external dynamics as well as the inverse system of the LTV system are investigated. Additionally, the zero dynamics can be effectively parameterized. Moreover, by employing the derived LTV normal form, the proportional-derivative output-feedback stabilization and output tracking problems are resolved. Finally, an illustrative example is presented to showcase the effectiveness of the proposed controllers.