LQR controller design of MIMO systems with external disturbances based on stability degree constraint

Author(s):  
De-xin Gao ◽  
Bao-tong Cui
2012 ◽  
Vol 433-440 ◽  
pp. 4662-4668
Author(s):  
De Xin Gao ◽  
Rui Wei ◽  
Bao Tong Cui ◽  
Bao Lin Zhang

This paper considers the optimal output tracking control problem for nonlinear systems affected by external disturbances based on stability degree constraint. The objective is to find an optimal output tracking controller, by which the cost function minimum and the state with the optimal having a higher mean-square convergence rate can be obtained. An optimal output tracking law is derived from a Riccati equation and Matrix equations. We give the existence and uniqueness conditions of the control law. Finally, a practical example is given to illustrate the effectiveness of the theory.


2019 ◽  
Vol 2019 (17) ◽  
pp. 4003-4007 ◽  
Author(s):  
Emmanuel Okyere ◽  
Amar Bousbaine ◽  
Gwangtim T. Poyi ◽  
Ajay K. Joseph ◽  
Jose M. Andrade

Author(s):  
Shusheng Zang ◽  
Jaqiang Pan

The design of a modern Linear Quadratic Regulator (LQR) is described for a test steam injected gas turbine (STIG) unit. The LQR controller is obtained by using the fuel flow rate and the injected steam flow rate as the output parameters. To meet the goal of the shaft speed control, a classical Proportional Differential (PD) controller is compared to the LQR controller design. The control performance of the dynamic response of the STIG plant in the case of rejection of load is evaluated. The results of the computer simulation show a remarkable improvement on the dynamic performance of the STIG unit.


Sign in / Sign up

Export Citation Format

Share Document