一种改进的带调节因子状态反馈控制设计  

Improved design of state feedback controller with adjustable parameter

作　　者：何率天[1] 杜春彦[1] 李枝昌[1] 

机构地区：[1]空军第一航空学院基础部,河南信阳464000

出　　处：《控制与决策》2009年第6期949-952,956,共5页Control and Decision

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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]