摘要
研究了一类时滞混沌系统的时滞依赖最优保性能控制问题.所考虑的控制器是无记忆状态反馈控制器.提取以两个需要同步的时滞混沌系统的状态差作为误差信号,从而建立起以该误差信号为状态量的误差系统,并通过线性化将闭环误差动态系统描述为一个线性时滞系统.基于适当构造的Lyapunov函数和自由矩阵方法,得到了闭环误差动态系统指数稳定的充分条件并进而得到了以线性矩阵不等式表示的最优保性能控制器存在性条件.通过构造的最小化问题可最终求得最优化保性能控制器.与已有文献的结果相比,给出的方法和结果具有更小的保守性.最后的算例验证了此方法的有效性.
The delay-dependent optimal guaranteed cost control is studied for a kind of time-delay chaotic systems. The controllers used are non-memory state feedback controller. The difference of the states of two synchronous time-delay chaotic systems is taken as the error signal. An error system is built by taking the obtained error signals as the state quantities of the system. The closed-loop error dynamic system using linearization procedure is described as a linear time-delay system. Based on a properly constructed Lyapunov function and the free matrix approach, suffi- cient conditions for the exponential stability of the error dynamic system are gained. Further more, the existence conditions for the optimal guaranteed cost controllers are gained in terms of linear matrix inequalities （LMIs）. The optimal guaranteed cost controllers can be obtained by solving the formulated minimization problem subjects to LMIs constraints. The proposed method and results are less conservative than the existing method and results in the literature. An illustrative example is finally given to demonstrate the effectiveness of the proposed method.
出处
《浙江工业大学学报》
CAS
2008年第1期52-56,共5页
Journal of Zhejiang University of Technology
基金
国家杰出青年科学基金(60525304)
关键词
时滞混沌系统
保性能控制
时滞依赖
状态反馈控制
线性矩阵不等式
time-delay chaotic systems
guaranteed cost control
delay-dependent
state feedback control
linear matrix inequalities（LMIs）
