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采用混合H2/H∞鲁棒控制设计积分滑模面的过程中,由于仅使用一个公共的Lyapunov矩阵而产生了一定的保守性;与此同时,该方法也未充分考虑由于系统结构未知以及运行点变化造成的不确定性。针对这些问题,提出一种降低保守性和不确定性的广域阻尼积分滑模控制方法。该方法设计了积分形式的滑模切换函数,并通过边界层方法削弱抖振。在设计滑模面的过程中,首先将H2/H∞控制理论中的Lyapunov矩阵与系统矩阵分离,并对H2控制和H∞控制分别计算能使多面体各个顶点的约束条件均成立的矩阵,并将该矩阵取为积分滑模控制中的反馈增益矩阵,进而获得基于降低保守性且降低不确定性的积分滑模控制器。IEEE 4机2区域系统仿真结果验证了该方法的正确性和有效性。
In the hybrid H2 / H∞ robust control design of the integral sliding-mode surface, some conservatism has been obtained due to the use of only one common Lyapunov matrix. At the same time, this method has not fully considered the uncertainties due to unknown system structure and operation Uncertainty caused by changes in the point. Aiming at these problems, a new method of controlling wide-area damping integral sliding mode that reduces the conservativeness and uncertainty is proposed. In this method, an integral form of sliding mode switching function is designed and the chattering is attenuated by the boundary layer method. In the process of designing the sliding surface, the Lyapunov matrix in H2 / H∞ control theory is separated from the system matrix and the matrices that hold the constraints of each vertex of polyhedron are respectively calculated for H2 control and H∞control. The matrix is taken as the feedback gain matrix in the integral sliding mode control, and then an integral sliding mode controller based on reducing the conservativeness and reducing the uncertainty is obtained. The simulation result of IEEE 4 machine 2 area system verifies the correctness and effectiveness of this method.