scholarly journals An integral extension technique for continuous homogeneous state‐feedback control laws preserving nominal performance

2020 ◽  
Author(s):  
Richard Seeber ◽  
Jaime A. Moreno
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Homogeneous State ◽  
Control Laws ◽  
Integral Extension ◽  
Nominal Performance

scholarly journals Output Regulation of the Pan System

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
V. Sundarapandian
Keyword(s):  
Feedback Control ◽  
Secure Communication ◽  
State Feedback ◽  
Three Dimensional ◽  
Output Regulation ◽  
State Feedback Control ◽  
Chaotic Attractors ◽  
Control Laws ◽  
Potential Applications ◽  
Simulation Results

We solve the problem of regulating the output of the Pan system (2010), which is one of the recently discovered three-dimensional chaotic attractors. Pan system has many interesting complex dynamical behaviours, and it has potential applications in secure communication. In this paper, we construct explicit state feedback control laws for regulating the output of the Pan system so as to track constant reference signals. The state feedback control laws are derived using the regulator equations of Byrnes and Isidori (1990). The simulation results are provided to illustrate the effectiveness of the regulation schemes derived for the output regulation of the Pan system.

Output Regulation of the Liu Chaotic System

2011 ◽  
Vol 110-116 ◽  
pp. 3982-3989 ◽  
Author(s):  
Vaidyanathan Sundarapandian
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Chaotic System ◽  
State Feedback ◽  
Output Regulation ◽  
State Feedback Control ◽  
Nonlinear Control Systems ◽  
Control Laws ◽  
Reference Signals ◽  
Simulation Results

This paper investigates the problem of regulating the output of the Liu chaotic system (2004). Explicitly, we construct state feedback control laws to regulate the Liu chaotic system so as to track constant reference signals. The control laws are derived using the regulator equations of Byrnes and Isidori (1990), who have solved the output regulation of nonlinear control systems using neutrally stable exosystem dynamics. The simulation results are also discussed in detail.

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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