Title | ||
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Local Performance Analysis Of Uncertain Polynomial Systems With Applications To Actuator Saturation |
Abstract | ||
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This paper considers the local performance analysis of uncertain polynomial systems. A method for estimating an upper bound of the local L (2) -> L-2 gain is presented. The gain upper bound condition is formulated in terms of a dissipation inequality that incorporates an integral quadratic constraint to model the uncertainty. For polynomial systems, the dissipation inequality can be verified using sum-of-squares optimizations. This approach is applied to systems with actuator position and rate limits. The effectiveness of the proposed method is demonstrated on two numerical examples. |
Year | DOI | Venue |
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2011 | 10.1109/CDC.2011.6161016 | 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) |
Keywords | Field | DocType |
rate limiting,mathematical model,actuators,upper bound,polynomials | Mathematical optimization,Polynomial,Control theory,Dissipation,Upper and lower bounds,Quadratic equation,Mathematics,Actuator saturation,Actuator | Conference |
ISSN | Citations | PageRank |
0743-1546 | 3 | 0.49 |
References | Authors | |
3 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Abhijit Chakraborty | 1 | 10 | 1.37 |
Pete Seiler | 2 | 354 | 56.78 |
Gary J. Balas | 3 | 345 | 47.33 |