A primal-dual probabilistic setting for quadratic stability of uncertain systems

2003 ◽  
Author(s):  
V.A. Ugrinovskii ◽  
R. Tempo ◽  
Y. Fujisaki
Keyword(s):  
Uncertain Systems ◽  
Quadratic Stability ◽  
Probabilistic Setting ◽  
Primal Dual

Design of Controllers for Quadratic Stability and Disturbance Attenuation of Uncertain Systems

1997 ◽  
Vol 119 (3) ◽  
pp. 594-598
Author(s):  
Faryar Jabbari ◽  
I˙. Emre Ko¨se
Keyword(s):  
Output Feedback ◽  
Uncertain Systems ◽  
Disturbance Attenuation ◽  
Time Varying ◽  
Quadratic Stability ◽  
Structured Uncertainty ◽  
Attenuation Level ◽  
Convex Problem ◽  
Disturbance Attenuation Level ◽  
Two Stages

In this paper, we discuss the design of controllers that provide quadratic stability and a desirable disturbance attenuation level (through an appropriately small L2 gain) for systems with time varying, real and structured uncertainty. It is shown that for a class of systems, the problem of designing dynamic output feedback can be separated into two stages, each an easily solvable convex problem. This information could be used in system design and configuration. Two examples are presented to illustrate the proposed approach.

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