High-gain PI natural tracking control for exponential tracking of linear MIMO systems with state-space description

1994 ◽  
Vol 25 (11) ◽  
pp. 1793-1817 ◽  
Author(s):  
W. P. MOUNFIELD Jr ◽  
L. T. GRUJIĆ
Keyword(s):  
State Space ◽  
Tracking Control ◽  
Mimo Systems ◽  
High Gain ◽  
Space Description

scholarly journals Block Method for SolvingState-Space Equations of Linear Continuous-Time Control Systems

2007 ◽  
Vol 4 (2) ◽  
pp. 318-329
Author(s):  
Baghdad Science Journal
Keyword(s):  
State Space ◽  
Continuous Time ◽  
Mimo Systems ◽  
Multiple Input Multiple Output ◽  
Method Comparison ◽  
The State ◽  
Block Method ◽  
Single Input Single Output ◽  
Single Output ◽  
Time Control

This paper presents a newly developed method with new algorithms to find the numerical solution of nth-order state-space equations (SSE) of linear continuous-time control system by using block method. The algorithms have been written in Matlab language. The state-space equation is the modern representation to the analysis of continuous-time system. It was treated numerically to the single-input-single-output (SISO) systems as well as multiple-input-multiple-output (MIMO) systems by using fourth-order-six-steps block method. We show that it is possible to find the output values of the state-space method using block method. Comparison between the numerical and exact results has been given for some numerical examples for solving different types of state-space equations using block method for conciliated the accuracy of the results of this method.

scholarly journals Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods

2016 ◽  
Vol 65 (3) ◽  
pp. 527-539 ◽  
Author(s):  
Joanna Kolańska-Płuska ◽  
Barbara Grochowicz
Keyword(s):  
Differential Equations ◽  
State Space ◽  
Linear Differential Equations ◽  
Non Linear ◽  
Runge Kutta ◽  
Linear Differential ◽  
Space Description

Abstract This work presents a study on dynamics of a circuit with a non-linear coil, where loss in iron is also taken into account. A coil model is derived using a state space description. The work also includes the development of an application in C# for coil dynamics examination, where the implicit RADAU IIA method of various orders is applied for the purpose of solving non-linear differential equations modelling the non-linear coil with loss in iron.

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