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.

scholarly journals Optimization of nonlinear controller with an enhanced biogeography approach

2014 ◽  
Vol 4 (2) ◽  
pp. 77-87
Author(s):  
Mohammed Salem ◽  
Mohamed Fayçal Khelfi
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Systems ◽  
Pid Controller ◽  
Inverted Pendulum ◽  
Optimal Solution ◽  
Optimization Process ◽  
Nonlinear Controller ◽  
Local Optima ◽  
Nonlinear Controllers ◽  
Mass Spring

This paper is dedicated to the optimization of nonlinear controllers basing of an enhanced Biogeography Based Optimization (BBO) approach. Indeed, The BBO is combined to a predator and prey model where several predators are used with introduction of a modified migration operator to increase the diversification along the optimization process so as to avoid local optima and reach the optimal solution quickly. The proposed approach is used in tuning the gains of PID controller for nonlinear systems. Simulations are carried out over a Mass spring damper and an inverted pendulum and has given remarkable results when compared to genetic algorithm and BBO. 

Suboptimal Design of a Class of Nonlinear Controllers

1973 ◽  
Vol 95 (4) ◽  
pp. 352-355 ◽  
Author(s):  
W. B. Rouse ◽  
D. P. Garg
Keyword(s):  
Design Procedure ◽  
Controller Synthesis ◽  
Systematic Design ◽  
Algebraic Equations ◽  
Nonlinear Controller ◽  
Response Characteristics ◽  
State Variable ◽  
Nonlinear Controllers ◽  
Single Input ◽  
Suboptimal Design

A systematic design procedure is presented for suboptimal nonlinear controller synthesis. Such a control yields faster response characteristics than are normally possible with a linear controller. The technique is geared to single-input linear systems where excursions of one state variable are of more importance than others. Design steps are formulated in terms of readily applicable algebraic equations. The proposed method is applied to several design examples, and the advantages are shown by comparison with the results obtained from existing techniques.

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