FUZZY CENTRE BASED SOLUTION OF FUZZY COMPLEX LINEAR SYSTEM OF EQUATIONS

2013 ◽  
Vol 21 (04) ◽  
pp. 629-642 ◽  
Author(s):  
DIPTIRANJAN BEHERA ◽  
S. CHAKRAVERTY
Keyword(s):  
Linear Time ◽  
Linear Equations ◽  
Electric Circuit ◽  
System Of Linear Equations ◽  
New Approach ◽  
Linear System Of Equations ◽  
Linear Time Invariant ◽  
Complex Linear ◽  
Time Invariant ◽  
Good Agreement

A new approach to solve Fuzzy Complex System of Linear Equations (FCSLE) based on fuzzy complex centre procedure is presented here. Few theorems related to the investigation are stated and proved. Finally the presented procedure is used to analyze an example problem of linear time invariant electric circuit with complex crisp coefficient and fuzzy complex sources. The results obtained are also compared with the known solutions and are found to be in good agreement.

Computing Impulse Response of Room Acoustics Using the Ray-Tracing Method in Time Domain

2010 ◽  
Vol 35 (4) ◽  
pp. 505-519 ◽  
Author(s):  
Adil Alpkocak ◽  
Malik Sis
Keyword(s):  
Impulse Response ◽  
Linear Time ◽  
Simulation Software ◽  
Room Acoustics ◽  
New Approach ◽  
Linear Time Invariant ◽  
Linear Time Invariant System ◽  
Time Invariant ◽  
Time Invariant System

AbstractThis paper proposes a new approach for calculating the impulse response of room acoustics. Impulse response provides unique characterization of any discrete lineartime invariant (LTI) systems. We assume that the room is a linear time-invariant system and the impulse response is calculated simply by sending a Dirac Impulse into the system as input and getting the response from the output. Then, the output of the system is represented as a sum of time-shifted weighted impulse responses. Both mathematical justifications for the proposed method and results from simulation software developed to evaluate the proposed approach are presented in detail.

A New Methodology for Circuit Analysis with Reverse Analysis Capability

2017 ◽  
Vol 26 (06) ◽  
pp. 1750101
Author(s):  
Mohammad Rahimi ◽  
Behrad Soleymani ◽  
Farrokh Aminifar ◽  
Amin Gholami
Keyword(s):  
Linear Time ◽  
Electric Circuit ◽  
Circuit Analysis ◽  
Passive Element ◽  
Electric Circuits ◽  
Linear Time Invariant ◽  
Basic Circuit ◽  
Reverse Analysis ◽  
Circuit Elements ◽  
Time Invariant

This paper presents a novel technique for the analysis of looped linear time-invariant electric circuits. This approach works in both time and Laplace domains; any type of elements could hence be incorporated. The circuit elements are partitioned into twofold classes of basic circuit and subsidiaries. The basic circuit is a spanning tree of the network, and the subsidiaries include circuit elements hypothetically removed from the looped electric circuit to open the loops. The subsidiaries include a suit of passive elements which might not even make any interconnected circuit. The circuit governing equations of flow and energy conservation are manipulated so that branch currents in the subsidiaries and branch voltages in the basic circuit are considered as independent variables to calculate passive element properties (impedance of all passive elements) directly. In contrast to existing methods, this technique is tailored for the circuit analysis in a reverse manner. As a complement for conventional circuit analysis techniques, this method can be taught in the undergraduate program to offer the students an alternative tool for the circuit analysis.

A New Approach for Designing Robust Controllers for the Servomechanism Problem

1997 ◽  
Vol 119 (2) ◽  
pp. 293-298 ◽  
Author(s):  
Salem A. K. Al-Assadi
Keyword(s):  
Disturbance Rejection ◽  
Simple Structure ◽  
Linear Time ◽  
New Approach ◽  
Linear Time Invariant ◽  
Multivariable Control Systems ◽  
Asymptotic Tracking ◽  
Dynamic Compensator ◽  
Dynamic Output Feedback Controller ◽  
Time Invariant

In this paper, we provide an alternative method for solving the more general servomechanism problem. The new approach based on designing a simple structure of a dynamic output feedback controller to achieve asymptotic tracking, disturbance rejection and pole assignment in linear time-invariant multivariable control systems. In addition, the resulting dynamic compensator is robust in the sense that asymptotic regulation take place for some or all disturbances and reference signals independent of any nondestabilizing perturbations in the system parameters. The main results of this paper are illustrated by an example.

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