On positive realness, negative imaginariness, and H∞ control of state-space symmetric systems

Automatica ◽  
2019 ◽  
Vol 101 ◽  
pp. 190-196 ◽  
Author(s):  
Mei Liu ◽  
James Lam ◽  
Bohao Zhu ◽  
Ka-Wai Kwok
Author(s):  
Mei Liu ◽  
Hong Lin ◽  
Yan Wang ◽  
Gang Chen

In this article, the state-space symmetric systems with symmetrical interval uncertainty that have positive real and negative imaginary properties are studied. First, a necessary and sufficient test in view of a state matrix is derived for a state-space symmetric system to be negative imaginary, which allows having poles at the origin. Second, bounds on symmetrical interval uncertainty that guarantee the positive realness and negative imaginariness of state-space symmetric systems are provided. Finally, the main results are illustrated by a resistor–capacitor network and a numerical design example.


1998 ◽  
Vol 34 (4) ◽  
pp. 209-215 ◽  
Author(s):  
W.Q. Liu ◽  
V. Sreeram ◽  
K.L. Teo

Automatica ◽  
2009 ◽  
Vol 45 (6) ◽  
pp. 1574-1579 ◽  
Author(s):  
Mona Meisami-Azad ◽  
Javad Mohammadpour ◽  
Karolos M. Grigoriadis

Author(s):  
Mona Meisami-Azad ◽  
Javad Mohammadpour ◽  
Karolos M. Grigoriadis

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