Adaptive boundary control for unstable parabolic PDEs—Part III: Output feedback examples with swapping identifiers

Automatica ◽  
2007 ◽  
Vol 43 (9) ◽  
pp. 1557-1564 ◽  
Author(s):  
Andrey Smyshlyaev ◽  
Miroslav Krstic
Keyword(s):  
Boundary Control ◽  
Output Feedback ◽  
Parabolic Pdes ◽  
Adaptive Boundary Control

Adaptive output feedback boundary control for a class of axially moving system

2019 ◽  
Vol 13 (2) ◽  
pp. 213-221 ◽  
Author(s):  
Fang Guo ◽  
Fei Luo ◽  
Yu Liu ◽  
Yilin Wu
Keyword(s):  
Boundary Control ◽  
Output Feedback ◽  
Axially Moving

scholarly journals State and output feedback boundary control of time fractional PDE–fractional ODE cascades with space‐dependent diffusivity

2020 ◽  
Vol 14 (20) ◽  
pp. 3589-3600
Author(s):  
Juan Chen ◽  
Aleksei Tepljakov ◽  
Eduard Petlenkov ◽  
YangQuan Chen ◽  
Bo Zhuang
Keyword(s):  
Boundary Control ◽  
Output Feedback ◽  
Fractional Pde

scholarly journals Weighted multiple model adaptive boundary control for a flexible manipulator

2019 ◽  
Vol 103 (1) ◽  
pp. 003685041988646
Author(s):  
Weicun Zhang ◽  
Qing Li ◽  
Yuzhen Zhang ◽  
Ziyi Lu ◽  
Cheng Nian
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Boundary Control ◽  
Control Strategy ◽  
Flexible Manipulator ◽  
Multiple Model ◽  
Parameter Uncertainties ◽  
Partial Differential ◽  
Local Boundary ◽  
Adaptive Boundary Control

In this article, a weighted multiple model adaptive boundary control scheme is proposed for a flexible manipulator with unknown large parameter uncertainties. First, the uncertainties are approximatively covered by a finite number of constant models. Second, based on Euler–Bernoulli beam theory and Hamilton principle, the distributed parameter model of the flexible manipulator is constructed in terms of partial differential equation for each local constant model. Correspondingly, local boundary controllers are designed to control the manipulator movement and suppress its vibration for each partial differential equation model, which are based on Lyapunov stability theory. Then, a novel weighted multiple model adaptive control strategy is developed based on an improved weighting algorithm. The stability of the overall closed-loop system is ensured by virtual equivalent system theory. Finally, numerical simulations are provided to illustrate the feasibility and effectiveness of the proposed control strategy.

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