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- W1587365104 abstract "Summary Determining the induced norm of a linear parameter‐varying (LPV) system is an integral part of many analysis and robust control design procedures. Most prior work has focused on efficiently computing upper bounds for the induced norm. The conditions for upper bounds are typically based on scaled small‐gain theorems with dynamic multipliers or dissipation inequalities with parameter‐dependent Lyapunov functions. This paper presents a complementary algorithm to compute lower bounds for the induced norm. The proposed approach computes a lower bound on the gain by restricting the parameter trajectory to be a periodic signal. This restriction enables the use of recent results for exact calculation of the norm for a periodic linear time varying system. The proposed lower bound algorithm also returns a worst‐case parameter trajectory for the LPV system that can be further analyzed to provide insight into the system performance. Copyright © 2015 John Wiley & Sons, Ltd." @default.
- W1587365104 created "2016-06-24" @default.
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- W1587365104 date "2015-03-25" @default.
- W1587365104 modified "2023-09-25" @default.
- W1587365104 title "Computation of lower bounds for the induced norm of LPV systems" @default.
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- W1587365104 doi "https://doi.org/10.1002/rnc.3328" @default.
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