Robust Bolza-Type Optimal Control of Logical Control Networks Subject to Function Perturbation

As a significant branch of modern control theory, optimal control has wide applications in many fields. In this paper, the robust Bolza-type optimal control problem (BTOCP) is investigated for logical control networks (LCNs) subject to function perturbation. Firstly, the impact of function perturbat...

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Bibliographic Details
Published inChinese Control and Decision Conference pp. 1824 - 1829
Main Authors Yang, Xinrong, Li, Haitao
Format Conference Proceeding
LanguageEnglish
Published IEEE 20.05.2023
Subjects
Control theory
Cost function
Costs
function perturbation
logical control network
Optimal control
optimal matrix
Perturbation methods
Robustness
semi-tensor product
Sufficient conditions
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Summary:As a significant branch of modern control theory, optimal control has wide applications in many fields. In this paper, the robust Bolza-type optimal control problem (BTOCP) is investigated for logical control networks (LCNs) subject to function perturbation. Firstly, the impact of function perturbation on the BTOCP of LCNs is analyzed, based on which, an effective sufficient condition is proposed for the robustness of optimal control sequence (OCS). Secondly, an optimal matrix is constructed by combining the information of state transition and cost function, which provides a new tool for the solvability of BTOCP. Thirdly, based on the optimal matrix, the deviation of cost function with respect to function perturbation is measured, and several necessary and sufficient conditions are proposed to guarantee the robustness of OCS. Finally, an illustrative example is worked out to illustrate the effectiveness of the obtained results.
ISSN:1948-9447
DOI:10.1109/CCDC58219.2023.10327316