This paper deals with estimation of interval controls for interval Linear Time Invariant (LTI) plants using pole placement technique. Generally, the parameters associated with LTI plant system are assumed to be crisp values, but due to the occurrence of error in experimentation, measurement or due to maintenance induced errors, the parameters are imprecise. As such, the LTI problem reduces to interval LTI. The pole placement problem is then reduced to interval algebraic equation viz. interval Diophantine equation using proper transfer function. Further, the interval Diophantine equation is transformed to Interval System of Linear Equations (ISLE) viz. interval Sylvester matrix equation. Initially, using interval arithmetic an interval algebraic approach has been applied to solve the ISLE for computing non-negative or non-positive controls. Then, another approach using Artificial Neural Network (ANN) is proposed for computing the interval controls. Further, algorithms based on sign function and ANN procedures have been discussed. Finally, the efficiency of the proposed algorithms has been verified using different order interval plants.

本文使用极点布置技术对区间线性时不变 (LTI) 设备的区间控制进行估计。通常，与 LTI 工厂系统相关的参数被假定为清晰值，但由于实验、测量中出现错误或由于维护引起的错误，这些参数是不精确的。因此，LTI 问题简化为区间 LTI。然后将极点放置问题简化为区间代数方程，即。使用适当传递函数的区间丢番图方程。此外，区间丢番图方程转换为区间线性方程组 (ISLE) 即。区间 Sylvester 矩阵方程。最初，使用区间算术，区间代数方法已被应用于求解 ISLE，以计算非负或非正对照。然后，提出了另一种使用人工神经网络 (ANN) 的方法来计算间隔控制。此外，已经讨论了基于符号函数和人工神经网络程序的算法。最后，使用不同阶次区间植物验证了所提出算法的效率。