Global stabilization of a class of cascaded systems with upper-triangular structures
Qixun Lan
School of Mathematics and Physics, Henan University of Urban Construction, Pingdingshan 467036, China
Search for more papers by this authorShihong Ding
College of Electrical and Information Engineering, Jiangsu University, ZhenJiang 212013, China
Search for more papers by this authorCorresponding Author
Shihua Li
School of Automation, Southeast University, Key Laboratory of Measurement and Control of CSE, Ministry of Education, Nanjing 210096, China
Correspondence
Shihua Li, School of Automation, Southeast University, Key Laboratory of Measurement and Control of CSE, Ministry of Education, Nanjing 210096, China.
Email: [email protected]
Search for more papers by this authorQixun Lan
School of Mathematics and Physics, Henan University of Urban Construction, Pingdingshan 467036, China
Search for more papers by this authorShihong Ding
College of Electrical and Information Engineering, Jiangsu University, ZhenJiang 212013, China
Search for more papers by this authorCorresponding Author
Shihua Li
School of Automation, Southeast University, Key Laboratory of Measurement and Control of CSE, Ministry of Education, Nanjing 210096, China
Correspondence
Shihua Li, School of Automation, Southeast University, Key Laboratory of Measurement and Control of CSE, Ministry of Education, Nanjing 210096, China.
Email: [email protected]
Search for more papers by this authorSummary
In this paper, the global stabilization problem of a class of cascaded systems with upper-triangular structures is considered. On the basis of the forwarding technique, a series of virtual controllers are recursively constructed for the driving subsystem. According to the mild assumption imposed on the driven subsystem, a partial-state feedback controller is obtained for the entire cascaded nonlinear system by developing a delicate design fashion. It is shown that the obtained state feedback controller will render the entire cascaded nonlinear system globally asymptotically stable. Numerical examples are conducted to validate the proposed control scheme.
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