Published July 2004
| public
Book Section - Chapter
Nonlinear Control Synthesis by Sum of Squares Optimization: A Lyapunov-based Approach
Abstract
This paper addresses the state feedback control synthesis problems for nonlinear systems, either without or with guaranteed cost or H_∞ performance objectives. By representing the open-loop nonlinear systems in a state dependent linear-like form and considering a special class of Lyapunov functions, sufficient conditions for the solutions to the above problems can be formulated in terms of state dependent linear matrix inequalities. Semidefinite programming relaxations based on the sum of squares decomposition are then used to efficiently solve such inequalities.
Additional Information
© 2004 IEEE. Issue Date: 20-23 July 2004. Date of Current Version: 09 May 2005.Additional details
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- 27289
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- CaltechAUTHORS:20111018-153711433
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2011-10-18Created from EPrint's datestamp field
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2019-10-03Created from EPrint's last_modified field
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- Other Numbering System Identifier
- 8401470