MPC of Switching in a Boost Converter Using a Hybrid State Model With a Sliding Mode Observer

In this paper, a model of a DC-DC (boost) converter is first expressed as a hybrid/switched/variable-structure system state model for the purpose of applying recently developed hybrid optimal control theory to control switching in a boost converter. Switching control is achieved by forming the embed...

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Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) 2009-09, Vol.56 (9), p.3453-3466
Main Authors: Oettmeier, F.M., Neely, J., Pekarek, S., DeCarlo, R., Uthaichana, K.
Format: Article
Language:English
Subjects:
Boost converter
Computer simulation
Control theory
Converters
DC-DC power converters
Electric potential
Hardware
hybrid optimal control theory (HOCT)
Mathematical models
Observers
Optimal control
Optimization
Performance analysis
Sliding mode
Sliding mode control
sliding mode observer
State estimation
switched system
Switching
Switching converters
Time domain analysis
Voltage
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Summary:In this paper, a model of a DC-DC (boost) converter is first expressed as a hybrid/switched/variable-structure system state model for the purpose of applying recently developed hybrid optimal control theory to control switching in a boost converter. Switching control is achieved by forming the embedded form of the hybrid state model, which enables the derivation of a control that solves for the switching function that minimizes a user-defined performance index. This approach eliminates the need to form average-value models and provides flexibility to balance competing objectives through appropriate weighting of individual terms in the performance index. Since, in practical situations, both the source voltage and the load resistance vary with time in unknown and unmeasurable ways, we introduce a sliding mode observer based on an enlarged state model which allows implicit estimation of the unknown variables. The combined optimal switching control and sliding mode observer are applied to a boost converter in which several nonidealities and losses are represented. The results of time-domain simulation and hardware experiments are used to validate and compare the response of the hybrid optimal control-sliding mode observer to that of a traditional current-mode control strategy.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2008.2006951