摘要
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 state feedback control with changing gains for a class of linear systems with time-delay is addressed. The stability of closed-loop systems is analyzed by using Lyapunov functional with adjustable parameter. And a delay-dependent LMI-based sufficient condition with an adjustable parameter is derived for the stability of closed-loop systems. The feedback gains are adjusted more strongly by the adjustable parameter by introducing sensitive parameter, which makes the feedback gains change with the state and its changing rate is more quick. Therefore, the systems at different time are controlled by different control gains, the overshoot, oscillation number and response time of closed-loop systems are decreased, and the dynamic performance is optimized. Simulation example illustrates the effectiveness of the proposed approach.
出处
《控制与决策》
EI
CSCD
北大核心
2009年第6期949-952,956,共5页
Control and Decision
关键词
时滞系统
线性矩阵不等式
时变增益
调节因子
灵敏度参数
Time-delay system, Linear matrix inequality （LMI）, Changing gains
Adjustable parameter, Sensitive parameter
