Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilizing Tube-Based Model Predictive Control: Terminal Set and Cost
  Construction for LPV Systems (extended version)   This paper presents a stabilizing tube-based MPC synthesis for LPV systems.
We employ terminal constraint sets which are required to be controlled
periodically contractive. Periodically (or finite-step) contractive sets are
easier to compute and can be of lower complexity than "true" contractive ones,
lowering the required computational effort both off-line and on-line. Under
certain assumptions on the tube parameterization, recursive feasibility of the
scheme is proven. Subsequently, asymptotic stability of the origin is
guaranteed through the construction of a suitable terminal cost based on a
novel Lyapunov-like metric for compact convex sets containing the origin. A
periodic variant on the well-known homothetic tube parameterization that
satisfies the necessary assumptions and yields a tractable LPV MPC algorithm is
derived. The resulting MPC algorithm requires the on-line solution of a single
linear program with linear complexity in the prediction horizon. The properties
of the approach are demonstrated by a numerical example.

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg