Order Reduction of Linear Dynamic Discrete Systems Using Improved Generalised Least-squares Method and Differential Evolution Algorithm
نویسنده
چکیده
The authors present an algorithm for order reduction of linear dynamic SISO discrete systems using the combined advantages of the improved generalised Least squares method and error minimization by Differential Evolution technique (DE). The denominator of the reduced order model is obtained by improved generalise least squares method and the numerator coefficients are determined by minimizing the integral square error between the transient responses of original and reduced order models using DE technique, pertaining to unit step input. The reduction procedure is simple, efficient and computer oriented. The algorithm is illustrated with the help of two numerical examples to highlight the advantages of the approach and the results are compared with the other existing techniques.
منابع مشابه
A meshless discrete Galerkin method for solving the universe evolution differential equations based on the moving least squares approximation
In terms of observational data, there are some problems in the standard Big Bang cosmological model. Inflation era, early accelerated phase of the evolution of the universe, can successfully solve these problems. The inflation epoch can be explained by scalar inflaton field. The evolution of this field is presented by a non-linear differential equation. This equation is considered in FLRW model...
متن کاملOrder Reduction of Linear Dynamic Systems Using Improved Generalise Least-squares Method and Pso
The authors present an algorithm for order reduction of linear dynamic SISO systems using the combined advantages of the improved generalise Least squares method and error minimization by Particle Swarm Optimization technique (PSO). The denominator of the reduced order model is obtained by improved generalise least squares method and PSO is employed for determining numerator coefficients by min...
متن کاملSolving the fractional integro-differential equations using fractional order Jacobi polynomials
In this paper, we are intend to present a numerical algorithm for computing approximate solution of linear and nonlinear Fredholm, Volterra and Fredholm-Volterra integro-differential equations. The approximated solution is written in terms of fractional Jacobi polynomials. In this way, firstly we define Riemann-Liouville fractional operational matrix of fractional order Jacobi polynomials, the...
متن کاملExact and approximate solutions of fuzzy LR linear systems: New algorithms using a least squares model and the ABS approach
We present a methodology for characterization and an approach for computing the solutions of fuzzy linear systems with LR fuzzy variables. As solutions, notions of exact and approximate solutions are considered. We transform the fuzzy linear system into a corresponding linear crisp system and a constrained least squares problem. If the corresponding crisp system is incompatible, then the fuzzy ...
متن کاملHarmonics Estimation in Power Systems using a Fast Hybrid Algorithm
In this paper a novel hybrid algorithm for harmonics estimation in power systems is proposed. The estimation of the harmonic components is a nonlinear problem due to the nonlinearity of phase of sinusoids in distorted waveforms. Most researchers implemented nonlinear methods to extract the harmonic parameters. However, nonlinear methods for amplitude estimation increase time of convergence. Hen...
متن کامل