Optimal control analysis and PID controller design for the Heisenberg Lie group H(3)

2016 ◽  
Author(s):  
Soumya Ranjan Sahoo ◽  
Amit Jena
Keyword(s):  
Optimal Control ◽  
Lie Group ◽  
Pid Controller ◽  
Controller Design ◽  
Control Analysis ◽  
Pid Controller Design

H∞ Controllers With a PID Structure

1990 ◽  
Vol 112 (3) ◽  
pp. 325-336 ◽  
Author(s):  
M. J. Grimble
Keyword(s):  
Optimal Control ◽  
Simple Form ◽  
Pid Controller ◽  
Transfer Functions ◽  
Controller Design ◽  
Design Procedure ◽  
Control Law ◽  
Pid Controller Design ◽  
Computational Procedures ◽  
The Cost

A review is given of the new H∞ Observations Weighted (HOW) optimal control law. The conditions under which the H∞ controller has a PID structure are identified and some implications for PID controller design are discussed. The simple form of this H∞ control law makes it easy to analyse and design. Examples are presented of the design procedure which involves the specification of the cost-function weighting transfer functions. The controller may be applied in applications where fast computational procedures are important.

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