On the Non-optimality of Linear Quadratic Gaussian Balanced Truncation for Constrained Order Controller Design

2019 ◽  
Author(s):  
R.W.H. Merks ◽  
M. Mirzakhalili ◽  
S. Weiland
Keyword(s):  
Controller Design ◽  
Balanced Truncation ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian

Stability Robustness of LQ and LQG Active Suspensions

1994 ◽  
Vol 116 (1) ◽  
pp. 123-131 ◽  
Author(s):  
A. G. Ulsoy ◽  
D. Hrovat ◽  
T. Tseng
Keyword(s):  
Controller Design ◽  
Active Suspension ◽  
Point Of View ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Active Suspensions ◽  
Quarter Car Model ◽  
Stability Robustness ◽  
Trade Offs ◽  
Two Degree Of Freedom

A two-degree-of-freedom quarter-car model is used as the basis for linear quadratic (LQ) and linear quadratic Gaussian (LQG) controller design for an active suspension. The LQ controller results in the best rms performance trade-offs (as defined by the performance index) between ride, handling and packaging requirements. In practice, however, all suspension states are not directly measured, and a Kalman filter can be introduced for state estimation to yield an LQG controller. This paper (i) quantifies the rms performance losses for LQG control as compared to LQ control, and (ii) compares the LQ and LQG active suspension designs from the point of view of stability robustness. The robustness of the LQ active suspensions is not necessarily good, and depends strongly on the design of a backup passive suspension in parallel with the active one. The robustness properties of the LQG active suspension controller are also investigated for several distinct measurement sets.

scholarly journals Attitude and Altitude Controller Design for Quad-Rotor Type MAVs

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Wei Wang ◽  
Hao Ma ◽  
Min Xia ◽  
Liguo Weng ◽  
Xuefei Ye
Keyword(s):  
Attitude Control ◽  
Controller Design ◽  
Sliding Mode ◽  
Micro Air Vehicles ◽  
Triaxial Accelerometer ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Constant Altitude ◽  
The Military ◽  
Rotor Type

Micro air vehicles (MAVs) have a wide application such as the military reconnaissance, meteorological survey, environmental monitoring, and other aspects. In this paper, attitude and altitude control for Quad-Rotor type MAVs is discussed and analyzed. For the attitude control, a new method by using three gyroscopes and one triaxial accelerometer is proposed to estimate the attitude angle information. Then with the approximate linear model obtained by system identification, Model Reference Sliding Mode Control (MRSMC) technique is applied to enhance the robustness. In consideration of the relatively constant altitude model, a Linear Quadratic Gaussian (LQG) controller is adopted. The outdoor experimental results demonstrate the superior stability and robustness of the controllers.

Linear quadratic Gaussian controller design for plasma current, position and shape control system in ITER

1999 ◽  
Vol 45 (1) ◽  
pp. 55-64 ◽  
Author(s):  
V Belyakov ◽  
A Kavin ◽  
V Kharitonov ◽  
B Misenov ◽  
Y Mitrishkin ◽  
...  
Keyword(s):  
Control System ◽  
Shape Control ◽  
Controller Design ◽  
Plasma Current ◽  
Current Position ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian

ACTIVE CONTROL OF BUILDINGS WITH BILINEAR HYSTERESIS AND TIME DELAY

2013 ◽  
Vol 13 (05) ◽  
pp. 1350027 ◽  
Author(s):  
KUN LIU ◽  
LONG-XIANG CHEN ◽  
GUO-PING CAI
Keyword(s):  
Time Delay ◽  
Large Time ◽  
Control Method ◽  
Controller Design ◽  
Comparison Study ◽  
Hysteretic Model ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Restoring Force ◽  
Control Effectiveness

In this paper, an active controller for buildings with bilinear hysteresis and time delay is studied. The bilinear hysteretic model is treated as a stiffness restoring force. By using specific transformation and augmentation of state parameters, the equation of motion of the system with an explicit time delay is transformed into a standard state space where there is no explicit time delay. A linear quadratic Gaussian control method is proposed for the controller design with time delay. The method is verified with numerical simulations of three-story and 20-story buildings. Comparison study of simulation results indicates that the control performance will deteriorate if the time delay is not taken into account in the control design. The proposed time-delay controller not only effectively compensate the time delay for better control effectiveness, but it also works well with both small and large time-delay problems.

scholarly journals Optimal Controller Design for the System of Ball-on-sphere: The Linear Quadratic Gaussian (LQG) Case

2021 ◽  
Vol 11 (2) ◽  
pp. 14-30
Author(s):  
Usman Mohammed ◽  
◽  
Tologon Karataev ◽  
Omotayo O. Oshiga ◽  
Suleiman U. Hussein
Keyword(s):  
Controller Design ◽  
Optimal Controller ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian
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