This research work proposes a method to obtain a stable reduced-order interval model from its stable higher-order interval plant. The reduced-order interval numerator and denominator polynomials are determined by using Kharitonov’s polynomials and a general form of the Routh approximation method. The proposed reduction algorithm retains stability and full impulse response energy of the higher-order interval system in its reduced-order interval model. In addition to this, the proposed method has useful features like matching of time moments and mathematical simplicity. Moreover, a few numerical examples in the literature are taken into consideration and simulated through MATLAB to illustrate the effectiveness of the proposed method.
This research article presents a novel algorithm for the model order reduction of higher order linear time interval systems using soft computing optimization approach. In the proposed method, a new recursive formula for alpha parameters is developed for determining reduced order interval model without formulating alpha and beta tables. The denominator and numerator polynomials of reduced order interval model are determined based on minimization of a multi-objective function comprising integral squared error and impulse response energy error using particle swarm optimization technique. The proposed algorithm has several advantageous features such as reduced computational complexity and stability preservation property. The efficacy of the proposed algorithm is illustrated through typical numerical examples available in the literature, and the results are successfully compared with the other familiar methods.
In this paper, the authors presented a new algorithm for the reduction of high order linear time interval systems. In the proposed method, the Reduced Order Interval Model (ROIM) denominator and numerator polynomials are determined based on minimization of objective function comprising of Integral Squared Error r using Social Group Optimization (SGO). The SGO technique is found to be simple, easy in implementation and provides the optimal solution. Applicability and effectiveness of the proposed method are illustrated through a DC motor speed control system and a typical Seventh order system taken from the literature.
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