Difference-based Nonlinear Control Designs of a Reduced-order Tubular Reactor System

2002 ◽  
Vol 35 (8) ◽  
pp. 759-770
Author(s):  
Wei Wu
2020 ◽  
Vol 141 ◽  
pp. 107321 ◽  
Author(s):  
Fahad Alsayyari ◽  
Marco Tiberga ◽  
Zoltán Perkó ◽  
Danny Lathouwers ◽  
Jan Leen Kloosterman

1999 ◽  
Vol 32 (2) ◽  
pp. 2181-2186 ◽  
Author(s):  
Jie Yu ◽  
Ali Jadbabaie ◽  
James Primbs ◽  
Yun Huang

Author(s):  
Dirk M. Luchtenburg ◽  
Katarina Aleksić ◽  
Michael Schlegel ◽  
Bernd R. Noack ◽  
Rudibert King ◽  
...  

2004 ◽  
Vol 126 (3) ◽  
pp. 574-582 ◽  
Author(s):  
Kwan-Woong Gwak ◽  
Glenn Y. Masada

New regularization embedded nonlinear control designs are proposed for the temperature control of an input-constrained and ill-conditioned thermal process. A classic nonlinear controller applied to such a process is shown to provide good temperature tracking but generates physically unreasonable actuator solutions, i.e. input-constraint-violation. The reason of input-constraint-violating control solutions—ill-conditionedness—is shown by applying singular value decomposition (SVD) on the linear algebraic equivalence of the nonlinear controllers (LAENC). Based on the analogy of LAENC and regularization method for the linear algebraic equations, Tikhonov, truncated singular value decomposition (TSVD) and modified TSVD (MTSVD) methods are embedded in the design of feedback linearizing controllers (FBL) and sliding mode controllers (SMC). These regularization embedded nonlinear controllers (RENLC) provide good temperature tracking and generate physically reasonable and actuator-constraint-satisfying solutions for the ill-conditioned system, in spite of the modeling errors inherent in applying regularization. The optimal Tikhonov parameter is found using an L-curve. Quantitative comparisons of the residuals and standard deviations of the control inputs are used as criteria to select the optimal truncated singular value decomposition (TSVD) parameter.


Author(s):  
Qian Zheng ◽  
Fen Wu

In this paper, we consider nonlinear control of a symmetric spacecraft about its axis of symmetry with two control torques. Using a computationally efficient ℋ∞ control design procedure, attitude regulation and trajectory tracking problems of the axi-symmetric spacecraft were solved. Resorting to higher order Lyapunov functions, the employed nonlinear ℋ∞ control approach reformulates the difficult Hamilton-Jacobian-Isaacs (HJI) inequalities as semi-definite optimization conditions. Sum-of-squares (SOS) programming techniques are then applied to obtain computationally tractable solutions, from which nonlinear control laws will be constructed. The proposed nonlinear ℋ∞ designs will be able to exploit the most suitable forms of Lyapunov function for spacecraft control and the resulting controllers will perform better than existing nonlinear control laws.


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