一类参数不确定系统的输出反馈自适应稳定控制设计

研究一类n阶、相对阶为n-m(n为任意自然数,m≤n为非负整数)参数不确定系统的输出反馈自适应镇定控制设计问题.所给出的控制器适用于相对阶为n-m的n阶系统.通过引入一个新型的3n+2m阶动态补偿器,构造性地给出了输出反馈自适应镇定控制器的显式表达.所设计的控制器使得闭环系统所有信号有界或渐近稳定.

Output Feedback Adaptive Stabilizing Control Design for a Class ofSystems with Uncertain Parameters

In this paper, the output-feedback adaptive stabilization control design is investigated for a class of $n$-order, $(n-m)$-relative-degree ($n$ is a natural number, $mleq n$ is a nonnegative integer) minimum-phase linear systems with unknown parameters. The controller presented is applicable to $n$-order systems with $n-m$ relative degree. By introducing a novel $(3n+2m)$-order dynamic compensator, the output-feedback adaptive stabilizing controller isconstructively designed. The controller designed guarantees that all the signals of the closed-loop system are either bounded or asymptotically stable.