The Experts below are selected from a list of 126543 Experts worldwide ranked by ideXlab platform
Jing Zhou - One of the best experts on this subject based on the ideXlab platform.
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adaptive output feedback control of uncertain nonlinear systems with hysteresis nonlinearity
IEEE Transactions on Automatic Control, 2012Co-Authors: Jing Zhou, Changyun WenAbstract:In this note, we consider a class of uncertain dynamic nonlinear systems preceded by Bouc-Wen type of hysteresis nonlinearity. A new perfect Inverse Function of the hysteresis is constructed and used to cancel the hysteresis effects in controller design with backstepping technique. For the design and implementation of the controller, no knowledge is assumed on system parameters. It is shown that the proposed controller not only guarantees asymptotic stability, but also transient performance.
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robust adaptive output control of uncertain nonlinear plants with unknown backlash nonlinearity
IEEE Transactions on Automatic Control, 2007Co-Authors: Jing Zhou, Chengjin ZhangAbstract:In this note, we consider a class of uncertain dynamic nonlinear systems preceded by unknown backlash nonlinearity. The control design is achieved by introducing a smooth Inverse Function of the backlash and using it in the controller design with backstepping technique. For the design and implementation of the controller, no knowledge is assumed on the unknown system parameters. It is shown that the proposed controller not only can guarantee stability, but also transient performance
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adaptive output control of nonlinear systems with uncertain dead zone nonlinearity
IEEE Transactions on Automatic Control, 2006Co-Authors: Jing Zhou, Ying ZhangAbstract:In this note, we present a new scheme to design adaptive controllers for uncertain systems preceded by unknown dead-zone nonlinearity. The control design is achieved by introducing a smooth Inverse Function of the dead-zone and using it in the controller design with backstepping technique. For the design and implementation of the controller, no knowledge is assumed on the unknown system parameters. It is shown that the proposed controller not only can guarantee stability, but also transient performance.
Michel Théra - One of the best experts on this subject based on the ideXlab platform.
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ekeland s Inverse Function theorem in graded frechet spaces revisited for multiFunctions
Journal of Mathematical Analysis and Applications, 2018Co-Authors: Van Ngai Huynh, Michel ThéraAbstract:Abstract In this paper, we present some Inverse Function theorems and implicit Function theorems for set-valued mappings between Frechet spaces. The proof relies on Lebesgue's Dominated Convergence Theorem and on Ekeland's variational principle. An application to the existence of solutions of differential equations in Frechet spaces with non-smooth data is given.
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ekeland s Inverse Function theorem in graded fr e chet spaces revisited for multiFunctions
arXiv: Classical Analysis and ODEs, 2016Co-Authors: Van Ngai Huynh, Michel ThéraAbstract:In this paper, we present some implicit Function theorems for set-valued mappings between Frechet spaces. The proof relies on Lebesgue's Dominated Convergence Theorem and on Ekeland's variational principle. An application to the existence of solutions of differential equations in Frechet spaces with non-smooth data is given.
Changyun Wen - One of the best experts on this subject based on the ideXlab platform.
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adaptive output feedback control of uncertain nonlinear systems with hysteresis nonlinearity
IEEE Transactions on Automatic Control, 2012Co-Authors: Jing Zhou, Changyun WenAbstract:In this note, we consider a class of uncertain dynamic nonlinear systems preceded by Bouc-Wen type of hysteresis nonlinearity. A new perfect Inverse Function of the hysteresis is constructed and used to cancel the hysteresis effects in controller design with backstepping technique. For the design and implementation of the controller, no knowledge is assumed on system parameters. It is shown that the proposed controller not only guarantees asymptotic stability, but also transient performance.
Alban Ponse - One of the best experts on this subject based on the ideXlab platform.
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division by zero in common meadows
Lecture Notes in Computer Science, 2015Co-Authors: Jan A. Bergstra, Alban PonseAbstract:Common meadows are fields expanded with a total multiplicative Inverse Function. Division by zero produces an additional value denoted with “\({\textup{\textbf{a}}}\)” that propagates through all operations of the meadow signature (this additional value can be interpreted as an error element). We provide a basis theorem for so-called common cancellation meadows of characteristic zero, that is, common meadows of characteristic zero that admit a certain cancellation law.
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Division by zero in common meadows
arXiv: Rings and Algebras, 2014Co-Authors: Alban PonseAbstract:Common meadows are fields expanded with a total Inverse Function. Division by zero produces an additional value denoted with "a" that propagates through all operations of the meadow signature (this additional value can be interpreted as an error element). We provide a basis theorem for so-called common cancellation meadows of characteristic zero, that is, common meadows of characteristic zero that admit a certain cancellation law.
Ying Zhang - One of the best experts on this subject based on the ideXlab platform.
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adaptive output control of nonlinear systems with uncertain dead zone nonlinearity
IEEE Transactions on Automatic Control, 2006Co-Authors: Jing Zhou, Ying ZhangAbstract:In this note, we present a new scheme to design adaptive controllers for uncertain systems preceded by unknown dead-zone nonlinearity. The control design is achieved by introducing a smooth Inverse Function of the dead-zone and using it in the controller design with backstepping technique. For the design and implementation of the controller, no knowledge is assumed on the unknown system parameters. It is shown that the proposed controller not only can guarantee stability, but also transient performance.
