In this paper, a scheme is proposed for selecting the bounds of controller parameters required for tuning proportional integral and derivative controllers for linear time-invariant multi input multi output (MIMO) systems. In an evolutionary optimization algorithm, the judicious selection of the tuning range of proportional integral and derivative controller parameters is of primary consideration for the algorithm to work efficiently. The proposed scheme is used with the Effective Transfer Functions model of the MIMO plant under consideration. It unifies the decoupling technique applicable to both unstable and stable MIMO systems. The procedure for selecting an optimum range of the controller parameters has been tested using Particle Swarm Optimization and Harmony Search techniques. Simulation results exhibit the effectiveness of the proposed method for the selection of parameter ranges for the controller. The results show significant reductions in peak overshoot and settling time. The drop in Integral square error values computed in the present scheme is 6–19% compared to those reported in published literature, which establishes the potent of the proposed method. The efficacy of the technique has been tested on a MIMO plant in LabVIEW® based hardware platform.

本文提出了一种方案，用于选择线性时不变多输入多输出（MIMO）系统调整比例积分和微分控制器所需的控制器参数范围。在进化优化算法中，明智地选择比例积分和微分控制器参数的整定范围是算法高效工作的首要考虑因素。所提出的方案与所考虑的 MIMO 设备的有效传递函数模型一起使用。它统一了适用于不稳定和稳定 MIMO 系统的解耦技术。选择控制器参数最佳范围的过程已使用粒子群优化和和谐搜索技术进行了测试。仿真结果表明了所提出的控制器参数范围选择方法的有效性。结果显示峰值超调和稳定时间显着减少。与已发表文献中报道的相比，本方案中计算的积分平方误差值下降了 6-19%，这证明了所提出方法的有效性。该技术的功效已在基于 LabVIEW® 的硬件平台上的 MIMO 设备上进行了测试。