#br# 不确定参数快估反演自适应最优L2增益控制

为了加快参数自适应律微分方程求解速度和状态变量的稳定收敛速度,通过改进常规反演自适应L2增益控制算法和引入线性矩阵不等式(linear matrix inequality,LMI),实现了参数自适应律微分方程只需一步积分运算即可求解,简化了不确定参数自适应律计算求解,并保证了L2增益系数最小,给出了不确定参数快估反演自适应最优L2增益控制（rapid back stepping adaptive optimal L2 control, OP-L2-RBAC）的通式。军用电站谐波励磁系统的控制仿真结果表明,相对于传统反演自适应L2增益控制,该方法可加强军用电站励磁系统的动态稳定性。

Back stepping optimal L2 gain control with rapid#br# adaptation of uncertain parameters

In order to improve the calculation speed of the parameters adaptive law and the convergence speed of the state variables, by modifying the traditional back stepping adaptive L2 gain control algorithm and adopting linear matrix inequality (LMI), the parameter adaptive differential equation can be resolved in one integration, and the solution of the adaptive laws for the uncertain parameters is simplified, then the L2 gain of the adaptive robust control will be minimum, the common formulas for the rapid back stepping adaptive optimal L2 control (OP-L2-RBAC) is deduced. Simulation results of the harmonic excitation system for the military power station show that the OP-L2-RBAC, comparing with the traditional nonlinear adaptive L2 gain control (L2-NAC) method, can enhance the dynamic stability of the excitation system for the military power station.