一种不需要严正实条件的模型参考自适应控制(英文)

A Model Reference Adaptive Control without Strictly Positive Real Condition

中文关键词  严正条件  模型参考自适应控制  未建模动态

英文关键词  SPR condition  model reference adaptive control  unmodeled dynamics

中文摘要

      对于具有未建模动态η_n的系统(1)和(2), 考虑了模型参考自适应控制问题. 利用有界的外部激励和随机变向截尾技术, 我们给出了一种类似于[1]的模糊参考自适应控制器的设计. 对于这种控制器, 我们证明了闭环系统是全局稳定的, 建模部分的参数估计是O(ε), 且这种模型参考自适应控制器在limsup_n→∞1/n ∑ⁿ_i=0(A_m(z)y_i+1-B_m(z)z_i^* -C_m(z)w_i+1)²≤O(ε²) +γ²b²¹意义下是次优的, 而其他文献中用到的严正实条件减弱为稳定性条件.

英文摘要

      This paper considers the model reference adaptive control problem for the system(1) with unmodeled dynamics η_n satisfying(2). Using bounded external excitation and randomly varying truncation techniques, we give design method of a model reference adaptive controller which is similar to that in [1]. It is shown that the closed loop system is globally stable, the estimation error for parameter contained in the modeled part is of order ε, and the closed loop system under the model reference adaptive control law is suboptimal in the sense of limsup_n→∞1/n ∑ⁿ_i=0(A_m(z)y_i+1-B_m(z)z_i^* -C_m(z)w_i+1)²≤O(ε²) +γ²b²¹, while the SPR condition usually used in other papers is replaced by a stability condition.