Optimal control problems with mixed and pure state constraints
| Autor: | Maria do Rosário de Pinho, Andrea Boccia, Richard B. Vinter |
|---|---|
| Přispěvatelé: | Faculdade de Engenharia, Commission of the European Communities |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Technology
0209 industrial biotechnology State variable Mathematical optimization Control and Optimization Mathematics Applied 0211 other engineering and technologies Structure (category theory) 02 engineering and technology Mathematical proof optimal control Automation & Control Systems 020901 industrial engineering & automation Maximum principle 0102 Applied Mathematics Control (linguistics) Mathematics Science & Technology 021103 operations research nonsmooth analysis state constraints Applied Mathematics 0906 Electrical And Electronic Engineering State (functional analysis) Optimal control Constraint (information theory) Industrial Engineering & Automation maximum principle Physical Sciences EQUALITY 0913 Mechanical Engineering |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| Popis: | This paper provides necessary conditions of optimality for optimal control problems, in which the pathwise constraints comprise both ‘pure’ constraints on the state variable and also ‘mixed’ constraints on control and state variables. The proofs are along the lines of earlier analysis for mixed constraint problems, according to which Clarke’s theory of ‘stratified’ necessary conditions is applied to a modified optimal control problem resulting from absorbing the mixed constraint into the dynamics; the difference here is that necessary conditions which now take account of the presence of pure state constraints are applied to the modified problem. Necessary conditions are given for a rather general formulation of the problem containing both forms of the constraints, and then these are specialized to apply to problems having special structure. While combined pure state and mixed control/state problems have been previously treated in the literature, the necessary conditions in this paper are proved under less restrictive hypotheses and for novel formulations of the constraints. |
| Databáze: | OpenAIRE |
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