Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs
2015 ◽
Vol 2015
◽
pp. 1-10
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Keyword(s):
The state observation problem is tackled for a system ofncoupled reaction-diffusion PDEs, possessing the same diffusivity parameter and equipped with boundary sensing devices. Particularly, a backstepping-based observer is designed and the exponential stability of the error system is proven with an arbitrarily fast convergence rate. The transformation kernel matrix is derived in the explicit form by using the method of successive approximations, thereby yielding the observer gains in the explicit form, too. Simulation results support the effectiveness of the suggested design.
2010 ◽
Vol 24
(22)
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pp. 4325-4331
Keyword(s):
2011 ◽
Vol 2
(1)
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pp. 21-37
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2021 ◽
Vol 358
(7)
◽
pp. 3822-3846
2017 ◽
Vol 865
◽
pp. 325-330
◽
1989 ◽
Vol 108
(4)
◽
pp. 281-291
◽
1985 ◽
Vol 16
(4)
◽
pp. 297-307
◽
Keyword(s):