Observer-Based Control Design for Switched Affine Systems and Applications to DC–DC Converters

[摘要] This paper deals with the problem of establishing a state estimator for switched affine systems. For that matter, a modification on the Luenberger observer is proposed, the switched Luenberger observer, whose idea is to design one output gain matrix for each mode of the original system. The efficiency of the proposed method relies on a simplification on estimation error which is proved always valid, guaranteeing the estimation error to asymptotically converge to zero, for any initial state and switching law. Next, a dynamic output-dependent switching law is formulated. Then, design methodologies using linear matrix inequalities are proposed, which, to the authors’s knowledge, have not yet been applied to this problem. Finally, observers for DC–DC converters are designed and simulated as application examples...

[学科分类] 自动化工程

[关键词] Switched affine systems ;State estimation ;Switched Luenberger observer ;Linear matrix inequalities ;Output feedback ;DC–DC converters