Application of absolute stability theorems for the analysis of relay-impulse control systems

1968 ◽  
Vol 11 (3) ◽  
pp. 204-207
Author(s):  
Sh. A. Akhmanov ◽  
A. I. Cherepanov
Keyword(s):  
Control Systems ◽  
Impulse Control ◽  
Absolute Stability ◽  
Stability Theorems

Robust absolute stability of Lurie interval control systems

2007 ◽  
Vol 17 (18) ◽  
pp. 1669-1689 ◽  
Author(s):  
Xiaoxin Liao ◽  
Zhen Chen ◽  
Fei Xu ◽  
Pei Yu
Keyword(s):  
Control Systems ◽  
Absolute Stability

Robust Stability of Sequential Multi-input Multi-output Quantitative Feedback Theory Designs

2004 ◽  
Vol 127 (2) ◽  
pp. 250-256 ◽  
Author(s):  
Murray L. Kerr ◽  
Suhada Jayasuriya ◽  
Samuel F. Asokanthan
Keyword(s):  
Control Systems ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Internal Stability ◽  
Quantitative Feedback Theory ◽  
Recursive Design ◽  
Stability Theorems ◽  
Improved Design ◽  
The Stability ◽  
Necessary And Sufficient

This paper re-examines the stability of multi-input multi-output (MIMO) control systems designed using sequential MIMO quantitative feedback theory (QFT). In order to establish the results, recursive design equations for the SISO equivalent plants employed in a sequential MIMO QFT design are established. The equations apply to sequential MIMO QFT designs in both the direct plant domain, which employs the elements of plant in the design, and the inverse plant domain, which employs the elements of the plant inverse in the design. Stability theorems that employ necessary and sufficient conditions for robust closed-loop internal stability are developed for sequential MIMO QFT designs in both domains. The theorems and design equations facilitate less conservative designs and improved design transparency.

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