非仿射高阶关联大系统的分散模糊输出反馈控制

Decentralized Fuzzy Output Feedback Control for Non-affine High-order Connective Large-scale Systems

针对一类仅子系统输出变量可测的非仿射不确定非线性关联大系统,考虑其关联项是关于系统状态的普通高阶多项式,在无须严格正实(SPR)的条件下采用Leunberger观测器观测未知状态向量,结合模糊系统的万能逼近原理,监督控制技术和自适应控制技术,借助反证法提出一种新的分散自适应模糊输出反馈控制方案,该方案不仅取消了逼近误差平方可积的假设条件,而且控制增益隐含数一阶导数的上界是更具一般性的未知非线性函数,基于Lyapunov稳定理论分析证明了闭环系统的全局稳定性,跟踪误差收敛到零,仿真结果表明所提控制方案的有效性。

For the class of non-affine uncertain nonlinear connective large-scale systems with the output variables of subsystems can be measured only, considering the interconnections among subsystems which are common high-order polynomials about system＇s states, by using Leunberger observer to observe the unknown state＇s variables without the strict positive real condition and by combining the universal approximation theory of fuzzy systems with supervisory control technology and adaptive control technology, a new decentralized adaptive fuzzy output feedback control method is provided with proof by contradiction. The control method can not only cancel the assumption that approximate error to be squared integrable, but also the upper bound of the first derivative of implicit function about control gain is more general nonlinear functions. The closed-loop system is proved to be globally uniformly ultimately bounded with tracking error converging to zero by using lyapunov stability theory. Simulation results show the effectiveness of the control scheme.