一类虚拟控制系数未知的随机非线性时滞大系统的适应镇定控制  

Adaptive Stabilization Control of a Class of Large-scale Stochastic Nonlinear Systems with Time-delays and Unknown Virtual Control Coefficients

作　　者：赵平[1] 刘淑君[2] 

机构地区：[1]济南大学控制科学与工程学院,济南250022 [2]中国科学院数学与系统科学研究院

出　　处：《自动化学报》2008年第8期912-920,共9页Acta Automatica Sinica

基　　金：国家自然科学基金(60221301，60428304)资助~~

摘　　要：研究了一类具有未知虚拟控制系数和未知噪声协方差的随机非线性时滞大系统的适应镇定问题.首先,针对系统的未知虚拟控制系数和未知噪声协方差,选取了相应的估计参数;然后,针对时变时滞对闭环系统稳定性的影响,构造了适当形式的Lyapunov-Krasovskii泛函,采用积分反推方法给出了无记忆状态反馈控制律的系统设计过程.在一定条件下,证明了闭环系统平衡点依概率全局稳定,且除参数估计以外的所有闭环信号几乎均收敛到零点.仿真算例验证了所给方法的有效性.In this paper, the adaptive stabilization problem is investigated for a class of large-scale stochastic time-delay nonlinear systems with unknown virtual control coefficients and unknown noise covariances. First, corresponding to the unknown virtual control coefficients and unknown noise covariances, some parameters to be estimated are properly chosen. Then, in view of the effect of the time-varying delay on the stability of the closed-loop system, an suitable Lyapunov- Krasovskii functional is constructed, based on which and the well-known integrator backstepping method, a memoryless state-feedback control law is systematically designed. Under some mild conditions, it is shown that the equilibrium of the closed-loop system is globally stable in probability, and all the signals of the closed-loop system except for parameter estimates converge to zero almost surely. A simulation example is given to illustrate the effectiveness of the proposed approach.

关 键 词：随机非线性系统 大系统 时滞 自适府控制 积分反推 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]