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Robust \(H\infty \)-optimal Output Feedback Actuator Placement with a Class of Actuator Constraints

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 404))

Abstract

This paper investigates the actuator placement of uncertain linear systems. The designed actuator locations are subject to a class of nonlinear equality constraints, and a dynamic output feedback controller should also be derived based on measured outputs. To minimize \(H\infty \) norm of the closed-loop systems, the actuator placement problem is formulated as an uncertain non-convex optimization problem. A series of transformations are developed to convert this problem into a deterministic successive convex problem. Correspondingly, an optimization algorithm is derived based on prediction-correction procedure.

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Acknowledgments

This work was supported by the National Basic Research Program of China (973 Program: 2012CB821200, 2012CB821201) and the NSFC (61134005, 61327807, 61521091, 61520106010).

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Correspondence to Xuhui Lu .

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© 2016 Springer Science+Business Media Singapore

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Lu, X., Zhang, L., Jia, Y., Wang, D., Liu, C. (2016). Robust \(H\infty \)-optimal Output Feedback Actuator Placement with a Class of Actuator Constraints. In: Jia, Y., Du, J., Zhang, W., Li, H. (eds) Proceedings of 2016 Chinese Intelligent Systems Conference. CISC 2016. Lecture Notes in Electrical Engineering, vol 404. Springer, Singapore. https://doi.org/10.1007/978-981-10-2338-5_48

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  • DOI: https://doi.org/10.1007/978-981-10-2338-5_48

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2337-8

  • Online ISBN: 978-981-10-2338-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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