时变时滞不确定性系统的状态反馈控制器设计
Designing of the State Feedaback Stabilizing Controller of Uncertain Dynamic Systems with Time-Varying Delays
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摘要: 研究一类不确定性动态系统.这类系统具有多重时变状态时滞和多重时变控制输 入时滞,其不确定性满足范数有界条件.采用黎卡提方程方法,得到了这类不确定性时滞系 统可状态反馈镇定的充分条件.通过解一个特定的黎卡提不等式,即可得到镇定已知系统的 控制器.Abstract: This paper deals with a class of uncertain systems with multiple time-varying delays in both states and controls. The uncertainties are unknown but norm-bounded. By using the Riccati equation approach, a sufficient condition for the system to be stabilizable is obtained. It is shown that the construction of the stabilizing controller involves solving a certain algebraic Riceati inequality.
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Key words:
- Uncertain dynamic systems /
- time-varying delay /
- Riccati equation /
- Lyapunov function
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