Abstract
his paper deals with the existence and synthesis of parameterized-(control) Lyapunov functions (p-(C)LFs) for discrete-time nonlinear systems that are possibly subject to constraints. A p-LF is obtained by associating a finite set of parameters to a standard LF. A set-valued map, which generates admissible sets of parameters, is defined such that the corresponding p-LF enjoys standard Lyapunov properties. It is demonstrated that the so-obtained p-LFs offer non-conservative stability analysis conditions, even when Lyapunov functions with a particular structure, such as quadratic forms, are considered. Furthermore, possible methods for synthesizing p-CLFs for discrete-time nonlinear systems are discussed. These methods make use of the receding horizon principle and require solving on-line a low-complexity convex optimization problem.
Original language | English |
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Title of host publication | Proceedings of the 49th IEEE Conference on Decision and Control [CDC] , 15-17 December 2010, Atlanta |
Place of Publication | Atlanta, GA |
Publisher | Institute of Electrical and Electronics Engineers |
Pages | 3264- |
ISBN (Print) | 978-1-4244-7745-6 |
DOIs | |
Publication status | Published - 2010 |
Event | 49th IEEE Conference on Decision and Control (CDC 2010) - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010 Conference number: 49 |
Conference
Conference | 49th IEEE Conference on Decision and Control (CDC 2010) |
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Abbreviated title | CDC 2010 |
Country | United States |
City | Atlanta |
Period | 15/12/10 → 17/12/10 |