Abstract:

Due to heavy calculation burden for solving Diophantine’s equation and inverse matrix，the traditional GPC （generalized predictive control）algorithm is unsuitable in some areas where both small system overshoot and fast track speed are required.In this paper，an improved generalized predictive control algorithm for fast restraining overshoot is proposed.Firstly，the calculation of inverse matrix is not necessary by softening coefficient matrix to obtain smoothing current input.Secondly，the next input increment is estimated by simple GPC.Finally，the current input is combined by next input increment in order to overcome potential overshoot.The simulation results show the effectiveness of the algorithm.

摘要：

由于求取广义预测控制律时需要解Diophanatine方程和计算逆矩阵，传统的广义预测控制难以适用于那些既要求超调量小又要求实时性高的领域。本文提出了一种能快速抑制超调量的改进预测控制算法，通过柔化控制增量算法以计算当前时刻的控制量，通过单值广义预测控制算法计算下一步控制增量并将之补偿当前控制量。仿真结果表明：本算法具有超调量小、动态响应速度快、鲁棒性好的优点。