Hûta method for solving nth order state-space equations of nonlinear continuous-time control systems

Abstract EN

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.