具有状态参数约束的鲁棒自适应最优控制设计

Design of robust adaptive optimum control with the state parameter constraint

在传统Backstepping鲁棒自适应设计中,虚拟控制函数的设计参数缺乏约束,对此,采用新的设计方法得到了新坐标系下的系统模型和参数替换律,结合直接反馈线性化和最优控制策略,最终给出了具有参数约束的非线性鲁棒自适应最优控制的设计方法.以具体励磁系统参数为例进行仿真实验研究,所得结果表明,该鲁棒自适应控制方法可以实现状态参数的最优约束,并能有效控制状态参数的收敛速度.

In the traditional robust adaptive control based on the Backstepping method, the design parameters in the virtual control function lack of restrain. Therefore, in the new method, the new system mathematical model is established in the new coordinate system. By using the direct linear feedback method and the optimal control method, the robust adaptive optimum control method with the state parameter constraint（RAOC-SPC） is obtained. Finally, taking the certain excitation system for example, the simulation experiment is carded out. The simulation results show that the RAOC-SPC method can improve the convergence speed of the state parameter and guarantee the system robustness.