Optimization of Lagrange Problem with State Constraints

Çiçek G., Mahmudov E.

9th International Conference on Control and Optimization with Industrial Applications, İstanbul, Türkiye, 27 - 29 Ağustos 2024, ss.89

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.89
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this study we consider a Lagrange problem of

time optimal control theory, whose dynamic constraint is given

by some class of nonconvex differential inclusion and state

constraints. Our main goal is to derive sufficient optimality

conditions for the problem with first order differential inclusions

and state constraints. The tool for constructing optimality condi-

tions is the concept locally adjoint mapping (LAM). The adjoint

trajectory possesses jumps that are common in state-constrained

control systems, the jump condition is also added to sufficient

optimality conditions. Moreover, we illustrate the validity of the

obtained results by an example.