不确定多时滞系统的自适应控制

Adaptive control of uncertain system with multiple delays

研究一类不满足匹配条件的不确定多时滞系统的自适应控制.基于时滞系统的一个新的稳定性定理,得到了时滞依赖充分性条件,并设计了自适应控制律,使得闭环系统以指定衰减度指数稳定.仿真算例验证了所提出控制策略的有效性.

Based on a new stability theorem of time delay systems, the problem of adaptive control for uncertain linear systems with multiple delays is studied. A delay-dependent sufficient condition is obtained. An adaptive controller is developed, which guarantees the state variables of the closed loop system to converge exponentially to the equilibrium. A simulation example shows the effectiveness of the approach.