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首页> 外文期刊>Applied Mathematical Modelling >Internal model control design based on approximation of linear discrete dynamical systems
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Internal model control design based on approximation of linear discrete dynamical systems

机译：基于线性离散动力系统近似的内部模型控制设计

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摘要

In this paper, a new direct discrete approximation based internal model control design is proposed to the linear discrete dynamical systems. The approximation method is used to determine an accurate and stable reduced-order model for the considered original higher-order discrete-time system. The method involves an enhanced Differential Evolution algorithm to ascertain the stable denominator polynomial coefficients, and the preferable reduced numerator polynomial coefficients are evaluated by using the improved discrete multi-point Pade approximation approach. The method deploys on discrete step integral square error minimization between the original dynamical system and the approximated model, together with retaining their discrete impulse response energy values. The approximated model has been considered an internal (predictive) model and proceeds with an optimal internal model controller design to improve the discrete dynamical system behaviour according to the reference input/the set point. The controller's best performance is attained by tuning the single filter parameter 'λ' by minimizing the integral square error between the reference input and the actual output of the dynamical system using the enhanced differential evolution algorithm. The acceptability and applicability of the proposed process reduction-based controller design have been validated on a single-input single-output supersonic jet engine inlet dynamical model. The controller robust study is conducted by inserting 10% disruption uncertainty in the system dynamical model poles and zeros. The method has also been extended to the discrete multi-input multi-output dynamical model of the single machine infinite bus power system to develop an optimal internal model control-based power system stabilizer. The simulation results showing better reference input tracking, comparison of performance indices, and also highlight the efficacy of the proposed controller design.
机译：本文提出了一种新的基于直接离散近似的内模控制设计，对线性离散动力系统。近似方法用于确定考虑原始高阶离散时间系统的准确稳定的阶数模型。该方法涉及增强的差分演进算法来确定稳定的衡量分数多项式系数，并且通过使用改进的离散多点梯队近似方法来评估优选的减少的分子多项式系数。该方法在原始动态系统和近似模型之间进行分立步骤整体误差最小化最小化，以及保持其离散的脉冲响应能量值。近似模型已被认为是内部（预测性）模型，并采用最佳内部模型控制器设计，以改善根据参考输入/设定点的离散动态系统行为。通过使用增强型差分演进算法最小化参考输入与动态系统的实际输出之间的整体方误差来调整单个过滤器参数'λ'，通过调整单个过滤器参数的“λ”来实现控制器的最佳性能。所提出的基于过程的控制器设计的可接受性和适用性已经在单输入单输出超声波喷射发动机入口动态模型上验证了已验证。通过在系统动态模型杆和零中插入10％的破坏不确定性来进行控制器鲁棒研究。该方法还延伸到单机无限总线电力系统的离散多输入多输出动态模型，开发出基于最佳的基于内部模型控制的电力系统稳定器。仿真结果显示了更好的参考输入跟踪，性能指标的比较，并突出了所提出的控制器设计的功效。

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