System Identification Algorithm for Systems with Interval Coefficients

IIR System Identification Using Improved Harmony Search Algorithm with Chaos

Due to the fact that the error surface of adaptive infinite impulse response (IIR) systems is generally nonlinear and multimodal, the conventional derivative based techniques fail when used in adaptive identification of such systems. In this case, global optimization techniques are required in order to avoid the local minima. Harmony search (HS), a musical inspired metaheuristic, is a recently ...

Identification of Dynamic Systems with Interval Arithmetic

This paper aims to identify three electrical systems: a series RLC circuit, a motor/ generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system’s models was used the error reduction ratio and the Akaike information criterion. Our approach to handle the numerical errors was the interval arithmetic by means of the resolution of the least squares estimation. The routi...

A BI-LEVEL LINEAR MULTI-OBJECTIVE DECISION MAKING MODEL WITH INTERVAL COEFFICIENTS FOR SUPPLY CHAIN COORDINATION

  Bi-level programming, a tool for modeling decentralized decisions, consists of the objective(s) of the leader at its first level and that is of the follower at the second level. Three level programming results when second level is itself a bi-level programming. By extending this idea it is possible to define multi-level programs with any number of levels. Supply chain planning problems are co...

Interval-Affine Gaussian Algorithm for Constrained Systems

The paper presents interval-affine Gaussian algorithm for the interval linear systemsAx = b subject to some constraints on real matrices A from the interval matrix A. The interval-affine method is based on the so-called interval-affine arithmetic that allows to take the constraints into account during the computation of interval enclosures of the united solution set of the system Ax = b, and to...

Gauss elimination algorithm for interval matrix