NDLI: Robust and resilient state dependent control of continuous-time nonlinear systems with general performance criteria

Content Provider	IEEE Xplore Digital Library
Author	Xin Wang Yaz, E.E. Yaz, Y.I.
Copyright Year	2010
Description	Author affiliation: Electrical and Computer Engineering Department, Marquette University, Milwaukee, WI 53201 USA (Xin Wang; Yaz, E.E.) \|\| Mathematics Department, Milwaukee School of Engineering, WI 53202 USA (Yaz, Y.I.)
Abstract	A novel state dependent control approach for continuous-time nonlinear systems with general performance criteria is presented in this paper. This controller is optimally robust for model uncertainties and resilient against control feedback gain perturbations in achieving general performance criteria to secure quadratic optimality with inherent asymptotic stability property together with quadratic dissipative type of disturbance reduction. For the system model, unstructured uncertainty description is assumed, which incorporates commonly used types of uncertainties, such as norm-bounded and positive real uncertainties as special cases. By solving a state dependent linear matrix inequality at each time, sufficient condition for the control solution can be found which satisfies the general performance criteria. The results of this paper unify existing results on nonlinear quadratic regulator, H∞ and positive real control. The effectiveness of the proposed technique is demonstrated by simulations of the nonlinear control of the Furuta pendulum.
Starting Page	603
Ending Page	608
File Size	348494
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5717110
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertainty Linear matrix inequalities Nonlinear systems Mathematical model Equations Regulators
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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