为直接模型引用的分离时间的系统,设计和分析的一个类,有规范的适应法律的适应控制(MRAC ) 被调查。我们责骂在输入和产量之间的 p 和 2 个关系性质上的分离时间的结论,和分离时间的交换词根 1 和 2。我们也建立分离时间的适应法律的性质,定义使正常化的信号,并且联系有在靠近环的系统的所有信号的信号。因此,分离时间的 MRAC 计划的稳定性和集中性质作为在连续时间的案例中以一种系统的方式严厉地被分析。
For a class of discrete-time systems, the design and analysis of direct model reference adaptive control (MRAC) with normalized adaptive law are investigated. We reprove the discrete-time conclusions on the Lp and E2δ relationship properties between the input and the output, and the discrete-time swapping Lemmas 1 and 2. We also establish the properties of discrete-time adaptive law, define the normalizing signal, and relate the signal with all the signals in the closed-loop system. Thus, the stability and convergence properties of the discrete-time MRAC scheme are analyzed rigorously in a systematic fashion as in the continuous-time case.