Nonlinear controller synthesis based on inverse describing function technique in the MATLAB environment

2006 ◽  
Vol 37 (6) ◽  
pp. 370-374 ◽  
Author(s):  
Amir Nassirharand ◽  
Hassan Karimi
Keyword(s):  
Controller Synthesis ◽  
Function Technique ◽  
Nonlinear Controller ◽  
Describing Function

Developments in Nonlinear Controller Synthesis: An Overview

1978 ◽  
Vol 100 (1) ◽  
pp. 59-69 ◽  
Author(s):  
Devendra P. Garg
Keyword(s):  
Functional Analysis ◽  
Nonlinear Systems ◽  
Performance Improvement ◽  
Performance Index ◽  
Controller Synthesis ◽  
Analysis Approach ◽  
Nonlinear Controller ◽  
System Synthesis ◽  
Synthesis Techniques ◽  
Nonlinear Controllers

In this paper developments in nonlinear controller synthesis techniques are surveyed. First, the use of functional analysis approach for system synthesis is discussed. Next, the application of intentional nonlinear controllers for performance improvement and optimization via performance index minimization is presented. This is followed by a discussion of signal stabilization using artificial dither. Finally, approaches are given for design of controllers to meet stability requirements for both single and multiple-loop nonlinear systems.

Vehicle-Follower Longitudinal Control for Automated Transit Vehicles

1977 ◽  
Vol 99 (4) ◽  
pp. 241-248 ◽  
Author(s):  
R. J. Caudill ◽  
W. L. Garrard
Keyword(s):  
Steady State ◽  
Function Technique ◽  
Steady State Response ◽  
Describing Function ◽  
Transient Responses ◽  
Longitudinal Control ◽  
Transit Systems ◽  
State Response ◽  
Acceleration And Deceleration ◽  
And Control

This paper examines the effects of spacing policy and control system nonlinearities on the dynamic response of strings of automated transit vehicles operating under automatic velocity and spacing control. Both steady-state and transient responses are studied. Steady-state response is examined by a modification of the describing function technique and transient response is studied by Liapunov procedures. It is shown that a nonlinearity commonly encountered in automated transit vehicles, a limiter on acceleration and deceleration, can result in string instabilities even though a linearized analysis indicates that the string is stable. Although this paper is specifically focused on automated transit systems, some of the results obtained also appear to be applicable to strings of automobiles on freeways.

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