新型多目标优化控制策略及其应用研究

针对优化控制器设计中的保守性问题,提出了一类新型的多目标鲁棒优化控制器的设计方法,通过有效算法求解满足系统鲁棒稳定性和鲁棒性能的优化解.该方法扩展了传统的基于Lyaponov稳定性条件的Gl2控制问题,通过将多目标约束条件转化为一系列线性矩阵不等式 (LMI),使多目标的鲁棒控制问题具有更小的保守性.仿真结果显示,新方法在提高控制系统的鲁棒性能和时域指标误差平方积分(ISE)、时间乘误差平方积分(ITSE)方面的优越性.

New multi-objective optimization control and its application to nonlinear evaporation process

A new multi-objective robust control design approach was proposed to reduce conservativeness that generally exists in optimal controller design. It extended the standard generalized-l_2 (Gl_2) control problem based on a new stability condition to a set of new linear matrix inequality (LMI) constraints. As a result the multi-objective robust control problem associated with robust stability and robust performance objectives was less conservative when it was solved using computationally tractable algorithms. A comparison of simulation results with controllers designed by different techniques demonstrates the superiority of the method in improving the performance of robustness, integral of squared error and integral of time multiplied with squared error.