Control of a 2 × 2 coupled linear hyperbolic system sandwiched between 2 ODEs

Summary Motivated by an engineering application in cable mining elevators, we address a new problem on stabilization of 2×2 coupled linear first‐order hyperbolic PDEs sandwiched between 2 ODEs. A novel methology combining PDE backstepping and ODE backstepping is proposed to derive a state‐feedback c...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2018-09, Vol.28 (13), p.3987-4016
Main Authors: Wang, Ji, Krstic, Miroslav, Pi, Yangjun
Format: Article
Language:English
Subjects:
backstepping
Computer simulation
Control stability
Control systems design
Controllers
distributed parameter systems
Elevator cables
Feedback control
hyperbolic systems
ODE‐PDE‐ODE
Stability analysis
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