3,144 research outputs found
Dimensional reduction of Lattice Gauge Theory in (2+1)D
This is my Ph.D. thesis defended earlier this year. It contains mostly
information already presented in previous Bielefeld/Saclay papers on this
subject, though in more detailed form. It also includes actual calculations and
some unpublished material on phase structure of the reduced model.Comment: ph.d. thesi
Regression Filtration with Resetting to Provide Exponential Convergence of MRAC for Plants with Jump Change of Unknown Parameters
This paper proposes a new method to provide the exponential convergence of
both the parameter and tracking errors of the composite adaptive control system
without the requirement of the regressor persistent excitation (PE). Instead,
the composite adaptation law obtained in this paper requires the regressor to
be finitely exciting (FE) to guarantee the above-mentioned properties. Unlike
known solutions, not only does it relax the PE requirement, but also it
functions effectively under the condition of a jump change of the plant
uncertainty parameters. To derive such an adaptation law, an integral filter of
regressor with damping and resetting is proposed. It provides the required
properties of the control system, and its output signal is bounded even when
its input is subjected to noise and disturbances. A rigorous analytical proof
of all mentioned properties of the developed adaptation law is presented. Such
law is compared with the known composite ones relaxing the PE requirement. The
wing-rock problem is used for the modeling of the developed composite MRAC
system. The obtained results fully support the theoretical analysis and
demonstrate the advantages of the proposed method.Comment: 12 pages, 3 figure
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