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      Analysis of unconstrained nonlinear MPC schemes with time varying control horizon

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          Abstract

          For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model predictive control schemes without stabilizing terminal constraints. Based on our formula, we perform a detailed analysis of the impact of the optimization horizon and the possibly time varying control horizon on stability and performance of the closed loop.

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          Author and article information

          Journal
          13 June 2010
          Article
          10.1137/090758696
          1006.2529
          026a2fb6-fd46-4fe0-baf1-8c0eaa8b0731

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          SIAM Journal on Control and Optimization, 2010, pp. 4938 - 4962
          math.OC

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