Authors

Abstract

The paper presents a proposed method with new algorithms written in
Matlab language to find the numerical solution of nth order state-space equations
(SSE's) of nonlinear continuous-time control system using Hûta method. The statespace
equation is the modern representation to analysis linear and nonlinear
continuous time invariant and time varying system. It was treated numerically to
the single-input-single-output (SISO) time invariant and time varying systems as
well as multiple-input-multiple-output (MIMO) time invariant and time varying
systems by using sixth-order-eight-stage Hûta method. We show that it is possible
to find the output values of nonlinear state-space model using Hûta method.
Finally, comparison between the numerical and exact results has been given with
illustrative figures for some test examples for solving different types of nonlinear
state-space equations using Hûta method for conciliated the accuracy of the results
of the proposed method.

Keywords