Linear Control Root-Clustering of Uncertain Systems

2014 ◽  
Author(s):  
S. Gutman
Keyword(s):  
Control Systems ◽  
Uncertain Systems ◽  
Closed Loop ◽  
Linear Control ◽  
Linear Control Systems ◽  
Linear Feedback ◽  
Important Class ◽  
Linear Feedback Control ◽  
Control Root ◽  
Clustering Criterion

In the design of linear control systems, it is desired to assign the closed loop spectrum in sub-regions (as opposed to locations) of the complex plane. The present paper establishes a matrix root-clustering criterion for an important class of regions, and develops a linear feedback control that assigns the closed loop spectrum in the desired region. This is done for both nominal and uncertain systems.

Estimating Output Variance in Closed Loop Systems

2007 ◽  
Vol 2 (1) ◽  
Author(s):  
Ming T. Tham ◽  
Richard W. Jones ◽  
Ibrahim Al-Hinai
Keyword(s):  
Process Control ◽  
Control Systems ◽  
Closed Loop ◽  
Simple Procedure ◽  
Linear Control ◽  
Linear Control Systems ◽  
Digital Controllers ◽  
Closed Loop Systems ◽  
Output Variance

This paper attempts to address a common difficulty encountered when trying to justify a process control revamp or upgrading project — the ability to quantify potential savings/profits. A relatively simple procedure that is applicable to both continuous and digital controllers is described. Given models of the process and the controller, knowledge of the disturbance frequencies and their variances, the method is able to predict accurately the variance of the controlled output of linear control systems.

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