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Peter Kvasnica

Abstract

This paper is focused on creation, accuracy and simulation of 2-parameter control of a mathematical model for motion of aircraft in a flying simulator. We are discussing many of important advances in applied aircraft modeling. Modelling on various computer architectures (central, parallel, distributed) has an impact on a structure of a simulator system of aircraft. The way of description of a numerical method and its accuracy, a shared memory system and a distributed memory system, is an important part. Necessary accuracy of implemented simulation methods, an analytical approach to definition of mathematical models, and corresponding simulation implementation architecttures are presented in the article.

Open access

Peter Bakaráč and Michal Kvasnica

Abstract

This paper presents a fast way of implementing nonlinear model predictive control (NMPC) using the random shooting approach. Instead of calculating the optimal control sequence by solving the NMPC problem as a nonlinear programming (NLP) problem, which is time consuming, a sub-optimal, but feasible, sequence of control inputs is determined randomly. To minimize the induced sub-optimality, numerous random control sequences are selected and the one that yields the smallest cost is selected. By means of a motivating case study we demonstrate that the random shooting-based approach is superior, from a computational point of view, to state-of-the-art NLP solvers, and features a low level of sub-optimality. The case study involves a continuous stirred tank reactor where a fast multi-component chemical reaction takes place.