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AUTOMATICA
2008

Controller synthesis with guaranteed closed-loop phase constraints

13 years 3 months ago
Controller synthesis with guaranteed closed-loop phase constraints
In this paper, we present an analysis and synthesis framework for guaranteeing that the phase of a single-input, single-output closed-loop transfer function is contained in the interval [-, ] for a given > 0 at all frequencies. Specifically, we first derive a sufficient condition involving a frequency domain inequality for guaranteeing a given phase constraint. Next, we use the Kalman-Yakubovich-Popov theorem to derive an equivalent time domain condition. In the case where = 2 , we show that frequency and time domain sufficient conditions specialize to the positivity theorem. Furthermore, using linear matrix inequalities, we develop a controller synthesis framework for guaranteeing a phase constraint on the closed-loop transfer function. Finally, we extend this synthesis framework to address mixed gain and phase constraints on the closed-loop transfer function.
Wassim M. Haddad, VijaySekhar Chellaboina, Behnood
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2008
Where AUTOMATICA
Authors Wassim M. Haddad, VijaySekhar Chellaboina, Behnood Gholami
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