scholarly journals Optimisation process to solve multirate system

2015 ◽  
Vol 1 (6) ◽  
pp. 56-59
Author(s):  
Antoine PIERQUIN
Keyword(s):  
Multirate System

Introduction to Multirate Systems

2002 ◽  
pp. 1-26 ◽  
Author(s):  
Gordana Jovanovic-Dolecek
Keyword(s):  
System Theory ◽  
Rational Number ◽  
Sampling Rate ◽  
Multirate Systems ◽  
Multirate System ◽  
Basic Concepts

This chapter treats the fundamentals of multirate system theory and includes decimation and interpolation as the basic concepts behind the changing of the sampling rate. The conversion of the sampling rate by an integer as well as by a rational number is explained. Also discussed are some widely used interconnections of upsamplers and downsamplers.

Design Method for Improvement of Transient-State Intersample Output of Multirate Systems Including Integrators

2016 ◽  
Vol 28 (5) ◽  
pp. 702-706 ◽  
Author(s):  
Tomonori Kamiya ◽  
◽  
Takao Sato ◽  
Nozomu Araki ◽  
Yasuo Konishi
Keyword(s):  
Steady State ◽  
Conventional Method ◽  
Discrete Time ◽  
Design Method ◽  
Transient State ◽  
Sampling Interval ◽  
Time Response ◽  
Control Input ◽  
Multirate System ◽  
Difference Operation

[abstFig src='/00280005/12.jpg' width='300' text='Comparison of output responses' ] This paper discusses a design method for a multirate system including integrators, where the update interval of the control input is shorter than the sampling interval of the plant output. In such a multirate control system, intersample output might oscillate between sampled outputs in the steady state even if the sampled output converges to the reference input. This is because the control input can be updated between the sampled outputs. In a conventional method, a predesigned control law is extended such that the steady-state ripples are eliminated independent of a discrete-time response. However, the conventional method is invalid when integrators are included in a controlled plant. In this study, a difference operation in discrete time is used to address this issue. Moreover, the transient-state intersample response is improved independent of a pre-designed discrete-time response.

Multi-Rate Analysis and Design of Visual Feedback Digital Servo-Control System

1994 ◽  
Vol 116 (1) ◽  
pp. 45-55 ◽  
Author(s):  
Mahadevamurty Nemani ◽  
Tsu-Chin Tsao ◽  
Seth Hutchinson
Keyword(s):  
Control System ◽  
Servo Control ◽  
Analysis And Design ◽  
Rate Analysis ◽  
Lifting Technique ◽  
Servo Control System ◽  
Update Rate ◽  
Servo Loop ◽  
Multirate System ◽  
Time Invariant

This paper addresses the analysis and design of digital motion control system with machine vision as a feedback measurement in the servo loop. The camera vision is modeled as a discrete time-delayed sensor. A multirate formulation is proposed based on the fact that vision update rate is slower than the digital servo-control update rate and is analyzed through the lifting technique which converts the periodic time varying multirate system to a time invariant one. Some interesting properties of this specific multirate system are found and are utilized in control system design. An l-1 norm optimal control problem is formulated to minimize the maximum time domain error, which has direct connection to camera field of view and mechanical tolerance. A numerical example is given to demonstrate the presented methods.

Fundamentals of Multirate Systems

2011 ◽  
pp. 1601-1605
Author(s):  
Gordana Jovanovic Dolecek
Keyword(s):  
Signal Processing ◽  
Integrated Circuits ◽  
Digital Signal Processing ◽  
Rapid Development ◽  
Sampling Rate ◽  
Digital Signal ◽  
Digital Signals ◽  
Multiple Sampling ◽  
Multirate System ◽  
Rate Conversion

Digital signal processing (DSP) is an area of science and engineering that has been rapidly developed over the past years. This rapid development is a result of significant advances in digital computers technology and integrated circuits fabrication (Mitra, 2005; Smith, 2002). Classical digital signal processing structures belong to the class of single-rate systems since the sampling rates at all points of the system are the same. The process of converting a signal from a given rate to a different rate is called sampling rate conversion. Systems that employ multiple sampling rates in the processing of digital signals are called multirate digital signal processing systems. Sample rate conversion is one of the main operations in a multirate system (Harris, 2004; Stearns, 2002).

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