Design of Controller for Large-Scale Uncertain Systems Adopting Affine Arithmetic

H. M. Dora
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Abstract

In this article presents a new controller design technique for large scale uncertain systems. The new controller is designed through a reduced order system from certain high order system. In the projected reduction method, the numerator coefficients are obtained with γ-table while the denominator polynomial is achieved with δ - table. An optimised reduced order model is derived with minimum value of ISE. In this proposed method gives better stability of the reduced order model, if consider the original stable high order system. A PID controller is designed for the high order original systems through its proposed reducer order model. Consider several numerical examples are available in the literatureto illustrate the usefulness of the proposed method andit gives sufficientoutcome.
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基于仿射算法的大规模不确定系统控制器设计
针对大规模不确定系统,提出了一种新的控制器设计方法。新控制器是由某高阶系统降阶系统设计而成的。在投影约简法中,分子系数用γ表求得,分母多项式用δ表求得。以最小的ISE值为条件,导出了一个优化的降阶模型。在考虑原稳定高阶系统的情况下,本文提出的方法使降阶模型具有更好的稳定性。通过提出的减速器阶数模型,设计了高阶原系统的PID控制器。考虑文献中可用的几个数值例子来说明所提出方法的有效性,并给出了充分的结果。
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