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研究一类线性时滞系统的时变增益控制问题.采用带调节因子的Lyapunov泛函分析闭环系统的稳定性,得到一个带调节因子的闭环系统稳定的充分条件,该条件可表示为与时滞相关的线性矩阵不等式的形式.通过引入灵敏度参数,增强了调节因子对反馈增益的调节力度,使得反馈增益可根据系统当前状态及其变化率迅速改变自身大小,从而实现了不同时刻的系统用不同的反馈增益来控制,减小了闭环系统的超调量、振荡次数和响应时间,优化了系统的动态性能.仿真示例验证了所给方法的有效性.
The problem of time-varying gain control for a class of linear time-delay systems is studied. By using the Lyapunov functional with adjusting factor to analyze the stability of the closed-loop system, a sufficient condition for the stability of a closed-loop system with an adjusting factor is obtained. The linear matrix inequality (LMI) is introduced.The sensitivity of the adjustment factor to the feedback gain is enhanced by introducing the sensitivity parameter so that the feedback gain can rapidly change its size according to the current state and the rate of change of the system, so as to achieve different system uses at different times , The overshoot, oscillation frequency and response time of the closed-loop system are reduced, and the dynamic performance of the system is optimized.The simulation results show the effectiveness of the proposed method.