Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
753035 | Systems & Control Letters | 2007 | 5 Pages |
Abstract
It is well known that if the linear time invariant system x˙=Ax+Bu,y=Cx is passive the associated incremental system x˜˙=Ax˜+Bu˜,y˜=Cx˜, with (·)˜=(·)-(·)⋆, u⋆,y⋆u⋆,y⋆ the constant input and output associated to an equilibrium state x⋆x⋆, is also passive. In this paper, we identify a class of nonlinear passive systems of the form x˙=f(x)+gu,y=h(x) whose incremental model is also passive. Using this result we then prove that a large class of nonlinear RLC circuits with strictly convex electric and magnetic energy functions and passive resistors with monotonic characteristic functions are globally stabilizable with linear PI control.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Bayu Jayawardhana, Romeo Ortega, Eloísa García-Canseco, Fernando Castaños,