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Nonsmooth High-Order Averaging Theory with Application to Extremum Seeking Optimization and Control
Hesham Abdelfattah, Sameh A. Eisa, Peter Stechlinski
In this paper, we introduce a higher-order averaging theory and method for a wide range of nonsmooth systems that are generally characterized by the classical averaging canonical f…
A New Nonsmooth Optimal Control Framework for Wind Turbine Power Systems
Hesham Abdelfattah, Sameh A. Eisa, Peter Stechlinski
Optimal control theory extending from the calculus of variations has not been used to study the wind turbine power system (WTPS) control problem, which aims at achieving two target…
Identifiability and Observability of Nonsmooth Systems via Taylor-like Approximations
Peter Stechlinski, Sameh Eisa, Hesham Abdelfattah
New sensitivity-based methods are developed for determining identifiability and observability of nonsmooth input-output systems. More specifically, lexicographic calculus is used t…