Linear Quadratic State Feedback Optimal Control against Actuator Failures

2007 ◽  
Author(s):  
Zhizhou Zhang ◽  
Zhiqiang Long ◽  
Longhua She ◽  
Wensen Chang
Keyword(s):  
Optimal Control ◽  
State Feedback ◽  
Linear Quadratic ◽  
Actuator Failures ◽  
Feedback Optimal Control

Multi-Dimension Uncertain Linear Quadratic Optimal Control with Cross Term

2015 ◽  
Vol 19 (5) ◽  
pp. 670-675 ◽  
Author(s):  
Yuefen Chen ◽  
◽  
Bo Li
Keyword(s):  
Differential Equation ◽  
Optimal Control ◽  
Linear Feedback ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Riccati Differential Equation ◽  
Cross Term ◽  
Lq Optimal Control ◽  
Quadratic Optimal Control ◽  
Feedback Optimal Control

In this paper, we consider a multi-dimension uncertain linear quadratic (LQ) optimal control with cross term. With the aid of the equation of optimality of a general multi-dimension uncertain optimal control, we present a necessary and sufficient condition for the existence of optimal linear feedback optimal control which is associated with a Riccati differential equation. Moreover, some properties of the solution for the Riccati differential equation are discussed. Furthermore, the uniqueness of the feedback optimal control for the uncertain linear quadratic optimal control with cross term is proved. Finally, as an application, an example is presented to illustrate the theory obtained.

The Tensor Product Based Analytic Solutions of Nonlinear Optimal Control Problem

2014 ◽  
Vol 511-512 ◽  
pp. 1063-1067 ◽  
Author(s):  
Hajer Bouzaouache ◽  
Naceur Benhadj Braiek
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Tensor Product ◽  
Control Problem ◽  
State Feedback ◽  
Numerical Procedure ◽  
Analytic Solutions ◽  
Linear Solution ◽  
Algebraic Laws ◽  
Feedback Optimal Control

In this paper, the attention is focused on the optimization of a particular class of nonlinear systems. The optimum linear solution is not the best one so the problem of determining a nonlinear state feedback optimal control law with quadratic performance index over infinite time horizon is considered. It isn't an easy task and the most discouraging obstacle is the resolution of the Hamilton-Jacobi equation. Thus our contribution, based on the use of the tensor product and its algebraic laws, provide analytic solutions of the studied optimal control problem. The polynomial state feedback solution is computed through a numerical procedure. A numerical example is treated to illustrate the proposed solutions and some conclusions are drawn.

Vibration Control of the Elastodynamic Response of High-Speed Flexible Linkage Mechanisms

1991 ◽  
Vol 113 (1) ◽  
pp. 14-21 ◽  
Author(s):  
C. K. Sung ◽  
Y. C. Chen
Keyword(s):  
Optimal Control ◽  
High Speed ◽  
State Feedback ◽  
Control Law ◽  
Luenberger Observer ◽  
Control Scheme ◽  
Feedback Optimal Control ◽  
Optimal Control Scheme ◽  
Observation Spillover ◽  
Flexible Linkage

A methodology for suppressing the elastodynamic responses of high-speed flexible linkage mechanisms by employing a state feedback optimal control scheme is proposed. This permits the mechanisms to be subjected to controlled dynamic inputs generated by several pairs of suitably-selected piezoelectric ceramics while additional piezoceramics are utilized as sensing devices. This optimal control scheme includes a feedback control law and a Luenberger observer. The instabilities caused by the combined effect of control and observation spillover are investigated and carefully prevented. Finally, numerical simulation is performed to evaluate the improvement of the elastodynamic responses.

scholarly journals Position Control of a Three Degree of Freedom Gyroscope using Optimal Control

2020 ◽  
Author(s):  
Mustefa Jibril ◽  
Messay Tadese ◽  
Nuriye Hassen
Keyword(s):  
Optimal Control ◽  
State Feedback ◽  
Position Control ◽  
Angular Position ◽  
Linear Quadratic ◽  
The Third ◽  
Quadratic Integral ◽  
Three Degree Of Freedom ◽  
Input Torque ◽  
Feedback Regulator

In this paper, a 3 DOF gyrscope position control have been designed and controlled using optimal control theory. An input torque has been given to the first axis and the angular position of the second axis have been analyzed while the third axis are kept free from rotation. The system mathematical model is controllable and observable. Linear Quadratic Integral (LQI) and Linear Quadratic State Feedback Regulator (LQRY) controllers have been used to improve the performance of the system. Comparison of the system with the proposed controllers for tracking a desired step and random angular position have been done using Matlab/Simulink Toolbox and a promising results has been analyzed.

Sign in / Sign up

Export Citation Format

Share Document