Time Invariance of Optimal Control in a Stochastic Linear Controller Design with Dynamic Scaling of Coefficients

2021 ◽  
Vol 60 (2) ◽  
pp. 202-212
Author(s):  
E. S. Palamarchuk
2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Giacomo Innocenti ◽  
Paolo Paoletti

When dealing with linear systems feedback interconnected with memoryless nonlinearities, a natural control strategy is making the overall dynamics linear at first and then designing a linear controller for the remaining linear dynamics. By canceling the original nonlinearity via a first feedback loop, global linearization can be achieved. However, when the controller is not capable of exactly canceling the nonlinearity, such control strategy may provide unsatisfactory performance or even induce instability. Here, the interplay between accuracy of nonlinearity approximation, quality of state estimation, and robustness of linear controller is investigated and explicit conditions for stability are derived. An alternative controller design based on such conditions is proposed and its effectiveness is compared with standard methods on a benchmark system.


1996 ◽  
Vol 80 (4) ◽  
pp. 1951-1958 ◽  
Author(s):  
J. L. Garbini ◽  
K. J. Bruland ◽  
W. M. Dougherty ◽  
J. A. Sidles

Author(s):  
Goele Pipeleers ◽  
Bram Demeulenaere ◽  
Jan Swevers

2017 ◽  
Vol 59 ◽  
pp. 151-158 ◽  
Author(s):  
Juliana Almeida ◽  
Teresa Mendonça ◽  
Paula Rocha ◽  
Luís Rodrigues

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