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Nonlinear control via automatic diff...

Magana Jimenez, Quetzalcoatl.

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Nonlinear control via automatic differentiation.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear control via automatic differentiation./
作者:	Magana Jimenez, Quetzalcoatl.
面頁冊數:	79 p.
附註:	Advisers: Coleman C. Brosilow; Kenneth A. Loparo.
Contained By:	Dissertation Abstracts International63-05B.
標題:	Engineering, Chemical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3052282
ISBN:	0493666672

Nonlinear control via automatic differentiation.
Magana Jimenez, Quetzalcoatl.

Nonlinear control via automatic differentiation. - 79 p.

Advisers: Coleman C. Brosilow; Kenneth A. Loparo.

Thesis (Ph.D.)--Case Western Reserve University, 2002.

Chemical processes present special control problems and offer special opportunities due to their inherent nonlinearity. The use of a linear controller often limits the range of operation to restricted feed-stocks (e.g. fluid catalytic cracking) and limits the speed of recovery from process disturbances. Nonlinear controllers that invert the process model require the computation of Lie derivatives, defined as the inner product of a real valued function and a vector field. These derivatives can be computed analytically and symbolically only for relatively simple nonlinear systems. This work simplifies the design and software maintenance of nonlinear controllers for complex highly nonlinear systems. The ADIFOR2.0 code (Automatic Differentiation in Fortran) appends derivative code to computer codes for function evaluations, handles branches, loops, subroutines, and computes numerical values of derivatives within machine precision. Our experience show that for complex nonlinear system, ADIFOR2.0 can produce efficient and portable computer code for the Lie derivatives and Jacobians required to calculate the control law and evaluate the local stability of the closed-loop control system. Furthermore an efficient and user friendly MATLAB5.3-ADIFOR2.0-FORTRAN<super>compaq</super>6.0 CONTROL (MAFC) software package was developed to calculate the relative order, compute, and simulate the control law and analyze the local stability of the closed-loop system for invertible complex highly nonlinear processes using Symbolic and Automatic Differentiation.

ISBN: 0493666672Subjects--Topical Terms:

1018531
Engineering, Chemical.

Nonlinear control via automatic differentiation.
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502 $a Thesis (Ph.D.)--Case Western Reserve University, 2002.
520 $a Chemical processes present special control problems and offer special opportunities due to their inherent nonlinearity. The use of a linear controller often limits the range of operation to restricted feed-stocks (e.g. fluid catalytic cracking) and limits the speed of recovery from process disturbances. Nonlinear controllers that invert the process model require the computation of Lie derivatives, defined as the inner product of a real valued function and a vector field. These derivatives can be computed analytically and symbolically only for relatively simple nonlinear systems. This work simplifies the design and software maintenance of nonlinear controllers for complex highly nonlinear systems. The ADIFOR2.0 code (Automatic Differentiation in Fortran) appends derivative code to computer codes for function evaluations, handles branches, loops, subroutines, and computes numerical values of derivatives within machine precision. Our experience show that for complex nonlinear system, ADIFOR2.0 can produce efficient and portable computer code for the Lie derivatives and Jacobians required to calculate the control law and evaluate the local stability of the closed-loop control system. Furthermore an efficient and user friendly MATLAB5.3-ADIFOR2.0-FORTRAN<super>compaq</super>6.0 CONTROL (MAFC) software package was developed to calculate the relative order, compute, and simulate the control law and analyze the local stability of the closed-loop system for invertible complex highly nonlinear processes using Symbolic and Automatic Differentiation.
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