scholarly journals Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling

2011 ◽  
Author(s):  
J. A. Tenreiro Machado
Keyword(s):  
Control System ◽  
Multidimensional Scaling ◽  
System Performance ◽  
Numerical Experiments ◽  
Closed Loop ◽  
Linear Control ◽  
Performance Indices ◽  
Frequency Domains ◽  
Non Linear ◽  
Non Linear Systems

This paper addresses the use of multidimensional scaling in the evaluation of control system performance. Both linear and non-linear systems are analysed based on the closed loop time response under the action of a reference step input signal. Two alternative performance indices, based on the time and frequency domains, are tested. The numerical experiments demonstrate the feasibility of the proposed methodology and motivate its extension for other performance measures and a broader classes of non-linearities.

scholarly journals Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling

2013 ◽  
Vol 8 (4) ◽  
Author(s):  
J. A. Tenreiro Machado
Keyword(s):  
Control System ◽  
Multidimensional Scaling ◽  
Performance Measures ◽  
System Performance ◽  
Numerical Experiments ◽  
Closed Loop ◽  
Time Response ◽  
Linear Control ◽  
Performance Indices ◽  
Controller Performance

This paper addresses the use of multidimensional scaling in the evaluation of controller performance. Several nonlinear systems are analyzed based on the closed loop time response under the action of a reference step input signal. Three alternative performance indices, based on the time response, Fourier analysis, and mutual information, are tested. The numerical experiments demonstrate the feasibility of the proposed methodology and motivate its extension for other performance measures and new classes of nonlinearities.

Visualizing Fractional Control System Approximations by Means of Multidimensional Scaling

2011 ◽  
Author(s):  
J. A. Tenreiro Machado
Keyword(s):  
Control System ◽  
Multidimensional Scaling ◽  
Input Signal ◽  
Numerical Experiments ◽  
Closed Loop ◽  
Performance Indices ◽  
Closed Loop System ◽  
Frequency Domains ◽  
Fractional System ◽  
Fractional Control

This paper addresses the use of multidimensional scaling in the evaluation of fractional system approximations. Algorithms are analysed based on the time response of the closed loop system under the action of a reference step input signal. Two alternative performance indices, based on the time and frequency domains, are tested. The numerical experiments demonstrate the feasibility of the proposed methodology.

Finite bang-bang controllability for certain non-linear systems

1977 ◽  
Vol 77 (1-2) ◽  
pp. 137-144 ◽  
Author(s):  
Gunnar Aronsson
Keyword(s):  
Control System ◽  
Sufficient Conditions ◽  
Linear Control ◽  
Usual Sense ◽  
Unperturbed System ◽  
Control Functions ◽  
Bounded Controls ◽  
Non Linear ◽  
Non Linear Systems ◽  
Image Position

SynopsisThis paper gives sufficient conditions ensuring that a non-linear control system of the formis controllable by means of control functions u(t), such that each ui(t) only takes two values, with a finite number of switches. It is assumed that the ‘unperturbed’ system ẋ = A(t)x + B(t)u is controllable in the usual sense, i.e. by measurable and bounded controls.

A pole placement controller for non-linear dynamic plants

2002 ◽  
Vol 216 (6) ◽  
pp. 467-476 ◽  
Author(s):  
Q M Zhu ◽  
L Z Guo
Keyword(s):  
Control System ◽  
System Design ◽  
Discrete Time ◽  
Linear Control System ◽  
Linear Control ◽  
Pole Placement ◽  
Hammerstein Model ◽  
Control System Design ◽  
Non Linear ◽  
Pole Placement Controller

In this study a control-oriented model is proposed to represent a wide range of non-linear discrete-time dynamic plants. As a testimony to the efficiency of the model structure for control system design, a pole placement controller is designed for non-linear discrete-time plants. Mathematically the solution of the controller output is converted into resolving a polynomial equation in the current control term u( t), which significantly reduces the difficulties encountered in non-linear control system synthesis and computational complexities. The integrated procedure provides a straightforward methodology to use in linear control system design techniques when designing non-linear control systems. For a demonstration of the effectiveness of the proposed methodology used to deal with practical problems, pole placement controllers are designed for three non-linear plants, including the Hammerstein model, a laboratory-scale liquid level system and a continuous stirred tank reactor. The simulation results are presented with graphical illustrations.

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