Solving Optimal Control Problems by Numerical Simulations: A Literature Review
Palavras-chave:
Dynamic Optimization, Optimal Control, Dengue, Modelica, Aedes Aegypti.Resumo
Este artigo apresenta uma breve revisão da bibliografia relacionada à aplicação de simulações numéricas na solução de problemas de controle ótimos (OCP). Revisamos conceitos básicos, tais como os teoremas de existência e as condições suficientes para a otimização, no que diz respeito à otimização aplicada à engenharia de controle, bem como as principais regras relacionadas às simulações numéricas. O trabalho é baseado em pesquisas da literatura relevante publicada sobre o tema, a partir dos livros e artigos clássicos, e abrange as obras mais citadas na atualidade. Os resultados desta revisão sugerem que há uma falta de métodos numéricos para resolver OCP. Estes métodos parecem não fazer uso dos principais conceitos teóricos desenvolvidos nos últimos anos e, igualmente, parecem não explorar o poder computacional moderno. Este trabalho contribui para o conhecimento principal sobre o assunto, sugerindo que a melhor exploração do poder das simulações numéricas para resolver OCP, com o uso de métodos mais adequados, pode resultar em soluções de OCP muito relevantes, que são de grande interesse em sistemas de engenharia e até mesmo biológicos.
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