scholarly journals A Convex Sum-of-Squares Approach to Analysis, State Feedback and Output Feedback Control of Parabolic PDEs

2017 ◽  
Vol 62 (4) ◽  
pp. 1636-1651 ◽  
Author(s):  
Aditya Gahlawat ◽  
Matthew M. Peet
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
State Feedback ◽  
Output Feedback Control ◽  
Sum Of Squares ◽  
Parabolic Pdes

H ∞ Control for Continuous-Time Switched Linear Systems

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
Grace S. Deaecto ◽  
José C. Geromel
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Continuous Time ◽  
Design Problem ◽  
State Feedback ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Switched Linear Systems

This paper deals with the output feedback H∞ control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a dynamic full order linear controller to satisfy a prespecified H∞ level defined by the L2 gain from the input to the output signal. Initially, the state feedback version of this problem is solved in order to put in evidence the main difficulties we have to face toward the solution of the output feedback control design problem. The results reported in this paper are based on the so called Lyapunov–Metzler inequalities, which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through a linear matrix inequality based method is the main contribution of the present paper. An academic example borrowed from literature is used for illustration.

scholarly journals Designs of Feedback Controllers for Fluid Flows Based On Model Predictive Control and Regression Analysis

Energies ◽  
2020 ◽  
Vol 13 (6) ◽  
pp. 1325 ◽  
Author(s):  
Yasuo Sasaki ◽  
Daisuke Tsubakino
Keyword(s):  
Regression Analysis ◽  
Feedback Control ◽  
Predictive Control ◽  
Vortex Shedding ◽  
Ridge Regression ◽  
Output Feedback ◽  
State Feedback ◽  
Output Feedback Control ◽  
State Feedback Control ◽  
Control Laws

Complexity of online computation is a drawback of model predictive control (MPC) when applied to the Navier–Stokes equations. To reduce the computational complexity, we propose a method to approximate the MPC with an explicit control law by using regression analysis. In this paper, we extracted two state-feedback control laws and two output-feedback control laws for flow around a cylinder as a benchmark. The state-feedback control laws that feed back different quantities to each other were extracted by ridge regression, and the two output-feedback control laws, whose measurement output is the surface pressure, were extracted by ridge regression and Gaussian process regression. In numerical simulations, the state-feedback control laws were able to suppress vortex shedding almost completely. While the output-feedback control laws could not suppress vortex shedding completely, they moderately improved the drag of the cylinder. Moreover, we confirmed that these control laws have some degree of robustness to the change in the Reynolds number. The computation times of the control input in all the extracted control laws were considerably shorter than that of the MPC.

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