含K类函数和附加控制量的自适应L_2励磁控制

Adaptive L_2 excitation control with K–class functions and additional control variable

为了简化常规非线性自适应L_2增益控制计算和加快控制系统状态变量的稳定收敛速度,通过引入附加控制变量和K类函数,克服了每次虚拟函数设计时都要考虑γ–耗散不等式的不足,保证了L_2增益控制能力随误差变量的增加而增强,给出了一种含附加控制变量和K类函数的非线性自适应L_2增益控制的通式,并以具体军用电站谐波励磁系统为对象,进行了仿真实验.仿真结果表明,相对于传统L_2增益控制,该方法可提高状态变量的收敛速度,并可加强军用电站励磁系统的动态稳定性.

In order to simplify the calculation of the nonlinear adaptive L2–gain control（L2–NAC） and improve the convergence speed of the state variables, by adopting additional control variable and K–class functions, the γ–dissipation inequality will not be considered in virtual function design and the control ability of L2–NAC can be improved with the increase of error-variable values, the common formulas of the L2–NAC with K–class functions and additional control variables（K–L2–NAC） is deduced. K–L2–NAC simulation results of the harmonic excitation system for military power station show that the K–L2–NAC, comparing with the traditional L2–NAC method, can improve the convergence speed of the control variables and enhance the dynamic stability of the excitation system for military power station.