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|Title:||Nonlinear optimal control for parameter-dependent polynomial nonlinear systems|
|Source:||Zhao, D.,Wang, J.L.,Liao, F.,Poh, E.K. (2008). Nonlinear optimal control for parameter-dependent polynomial nonlinear systems. 2007 IEEE International Conference on Control and Automation, ICCA : 1710-1715. ScholarBank@NUS Repository. https://doi.org/10.1109/ICCA.2007.4376653|
|Abstract:||In this paper, we address the nonlinear optimal control problem for parameter-dependent nonlinear systems with polynomial vector fields. Based on the state dependent coefficient form, sufficient conditions to guarantee the closed-loop stability and bounded performance index are presented as state dependent linear matrix inequalities, which can be formulated as sum-ofsquares based conditions and solved by semidefinite programming. A parameter-dependant Lyapunov function is adopted to reduce the conservativeness of the controller design. © 2007 IEEE.|
|Source Title:||2007 IEEE International Conference on Control and Automation, ICCA|
|Appears in Collections:||Staff Publications|
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