Regularization Embedded Nonlinear Control Designs for Input-Constrained and Ill-Conditioned Thermal System

[+] Author and Article Information
Kwan-Woong Gwak, Glenn Y. Masada

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712-1063

J. Dyn. Sys., Meas., Control 126(3), 574-582 (Dec 03, 2004) (9 pages) doi:10.1115/1.1789973 History: Online December 03, 2004
Copyright © 2004 by ASME
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Geometry of the thermal system
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Desired temperature profile of the design surface 3
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Responses for FBL with λ1=0.1,λ2=0.1
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Singular values of Ac of FBL (a) over entire process time (b) at t=350 s
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TSVD-FBL with p=3,λ1=0.1,λ2=0.1
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(a) Residual norm and (b) standard deviation of the control input for different TSVD parameters p
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TSVD-FBL with p=2,λ1=0.1,λ2=0.1
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Final time errors in the design surface temperatures (a) FBL control (b) TSVD-FBL control with p=3,λ1=0.1,λ2=0.1
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Temperature and heater input distribution with MTSVD p=3 for FBL with λ1=0.1,λ2=0.1
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Standard deviation of control input for FBL with TSVD and MTSVD
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Tikhonov-FBL λTik=0.001,λ1=0.1,λ2=0.1
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Optimal Tikhonov parameter (a) L-curve for the optimal parameter selection (b) control input distribution along the heaters for different Tikhonov parameters
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Condition numbers with (a) Tikhonov parameter zero and (b) with λTik=0.001 and L1 as the derivative operator
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Tikhonov-SMC with D=0.5, λSMC=0.2 and λTik=0.001 and L2
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(a) Final time heater input distribution; (b) final time heater surface temperature distribution




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