A switched linear system approach to the modeling of the air path of diesel engines

2018 ◽  
Author(s):  
Zsolt Horváth ◽  
Petra Csomós
Keyword(s):  
Linear System ◽  
Diesel Engines ◽  
System Approach ◽  
Switched Linear System

Modelling of the Human's Leg as a Switched Linear System

2015 ◽  
Vol 789-790 ◽  
pp. 747-753
Author(s):  
Artur Babiarz ◽  
Adam Czornik ◽  
Michał Niezabitowski ◽  
Radosław Zawiski
Keyword(s):  
System Theory ◽  
Linear System ◽  
Mathematical Modelling ◽  
System Approach ◽  
Switched System ◽  
Rectangular Prism ◽  
Switched Linear System ◽  
Model Application ◽  
Angular Displacements ◽  
Switching Method

This article describes the alternative mathematical modelling of a human's leg by means of switched system approach. The leg is considered three joints connected by a rotational link. The novelty of each of the links being represented as a rectangular prism changing shape during motion introduces new possibilities of model application. Each of the links is represented as a rectangular prism which's shape depends on the three state coordinates - the angular displacements q1, q2 and q3. A design process is then made on the basis of switched system theory. In several steps we show the transition from the general equation of the three-link leg dynamics to the switched linear system where the switching rule depends on the state vector. A switching method is presented in schematics.

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