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摘要: 讨论了线性时滞系统带调节因子的状态反馈控制问题. 减小调节因子时, 所允许的时滞范围将得到扩大. 时滞固定时, 不同的调节因子导致不同的反馈增益, 从而可以通过选取合适的调节因子来优化闭环系统的动态性能. 通过设计调节因子的自适应律, 并将其引入到反馈增益存在的条件中, 得到了实时变化的反馈增益. 与用固定反馈增益所取得的控制效果相比较, 本文方法具有更弱的保守性, 且系统的动态性能更优. 仿真示例验证了本文方法的有效性.Abstract: In this paper, the state feedback control with adjustable parameter for linear time-delay systems is studied. If the adjustable parameter is reduced, the allowable maximum delay will be extended. When delay is fixed, different feedback gains are gotten by choosing different adjustable parameters, therefore, dynamic performance of closed-loop systems can be optimized by taking proper adjustable parameters. By designing adaptive law of the adjustable parameter, and introducing it into the stability condition of closed-loop systems, the feedback gains which change with time are gotten. Compared with the results by fixed feedback gains, the proposed method in this paper leads to less conservatism, and the better dynamic performance of closed-loop systems is obtained. Simulation example is given to show the effectiveness of the proposed approach.
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Key words:
- Time-delay systems /
- adaptive control /
- linear matrix inequality
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