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提出了应用GA(遗传算法 )设计H2 /H∞ 鲁棒控制器的一般方法。使得在满足闭环系统的H∞ 范数小于指定的工程要求的条件下误差信号的H2 范数最小。该问题可归结为一个带约束条件的极小值优化问题 ,并通过一种改进的遗传算法加以解决。该设计方法能对具有任意控制器结构的控制系统进行参数优化。与传统的鲁棒控制器设计方法相比 ,所提出的方法不仅可以提高控制器的鲁棒性 ,还具有易于进行参数优化的优点。将所提出的方法应用于超导磁储能装置 (SMES)PI型鲁棒控制器的设计 ,时域仿真结果表明所设计的控制器具有很好的鲁棒性 ,在不同的运行工况下均能有效阻尼电力系统的振荡。此外 ,控制器还具有结构简单、易于工程实现的优点。
A general method of designing H2 / H∞ robust controller using GA (Genetic Algorithm) is proposed. So that the H2 norm of the error signal is minimized while satisfying the H∞ norm of the closed-loop system less than the specified engineering requirement. The problem can be attributed to a minimization optimization problem with constraints and solved by an improved genetic algorithm. This design method can optimize the control system with any controller structure. Compared with the traditional robust controller design method, the proposed method not only improves the robustness of the controller, but also has the advantage of easy parameter optimization. The proposed method is applied to the design of SMES PI-type robust controller. The results of time-domain simulation show that the proposed controller has good robustness under different operating conditions All can effectively dampen the power system’s oscillation. In addition, the controller also has the advantages of simple structure, easy to implement.