State feedback gain tuning for inverted pendulum in frequency domain using one-shot closed-loop transient response data

2012 ◽  
Author(s):  
Yoshihiro Matsui ◽  
Tomohiko Kimura ◽  
Kazushi Nakano
Keyword(s):  
Frequency Domain ◽  
Transient Response ◽  
State Feedback ◽  
Closed Loop ◽  
Inverted Pendulum ◽  
Feedback Gain ◽  
Response Data

Optimizing the Feedback Gains of the Robust Linear Regulator

1999 ◽  
Vol 121 (3) ◽  
pp. 346-350
Author(s):  
Jie Huang
Keyword(s):  
Computer Simulation ◽  
Steady State ◽  
Transient Response ◽  
Closed Loop ◽  
Feedback Gain ◽  
Frobenius Norm ◽  
Closed Loop System ◽  
Optimal Feedback ◽  
Linear Regulator ◽  
Fixed Set

This paper aims to improve the transient response of a linear regulator system by optimizing the feedback gains associated with a fixed set of desirable eigenvalues of the closed-loop system. The optimal feedback gain is such that the Frobenius norm of the steady state of the compensator is minimized. Computer simulation shows that this scheme is effective in improving the transient response of the regulator system.

PID Tuning for Unstable Systems Using Closed-Loop Transient Response Data

2013 ◽  
Vol 133 (10) ◽  
pp. 1936-1942
Author(s):  
Yoshihiro Matsui ◽  
Shunichi Akamatsu ◽  
Tomohiko Kimura ◽  
Kazushi Nakano
Keyword(s):  
Transient Response ◽  
Closed Loop ◽  
Unstable Systems ◽  
Pid Tuning ◽  
Response Data

A New Method of Calculating the State Feedback Gain Vector of Vibration Control System

2012 ◽  
Vol 229-231 ◽  
pp. 424-427
Author(s):  
Ming Yang ◽  
De Chen Zhang ◽  
Xin Xiang Zhou
Keyword(s):  
Vibration Control ◽  
Uncertain Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Random Perturbation ◽  
Feedback Gain ◽  
Uncertain Parameters ◽  
Vibration System ◽  
Deterministic Systems ◽  
Closed Loop Systems

Using the random model, the vibration control problem of structures with uncertain parameters is discussed, which is approximated by a deterministic one. The feedback gain matrix is determined based on the deterministic systems, and then it is applied to the actual uncertain systems. A method to calculate the standard deviations for responses of the closed-loop systems with the uncertain parameters is presented by using the random perturbation. This method is applied to a vibration system to illustrate the application. The numerical results show that the present method is effective.

Stable observer-based controller design for robust state-feedback pole assignment

2000 ◽  
Vol 214 (4) ◽  
pp. 313-318 ◽  
Author(s):  
G P Liu ◽  
G R Duan ◽  
S Daley
Keyword(s):  
Frequency Domain ◽  
Stability Problem ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Pole Assignment ◽  
Loop System ◽  
Closed Loop System ◽  
Sensitive Function ◽  
The Stability

The design of stable observer-based controllers for robust pole assignment is addressed in this paper. The stability problem of these dynamical controllers is investigated, which is often ignored during the controller design. A design formulation of stable observer controllers is presented using state-feedback pole assignment techniques. Although the design formulation is principally aimed at the design of a stable controller, the mixed sensitive function in the frequency domain is also considered to improve the robustness of the closed-loop system. This ensures that the closed-loop system has good robustness and the controller is stable.

scholarly journals Robust Parametric Control of Lorenz System via State Feedback

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Da-Ke Gu ◽  
Da-Wei Zhang ◽  
Yin-Dong Liu
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Lorenz System ◽  
Feedback Gain ◽  
Eigenvalues And Eigenvectors ◽  
Constant Matrix ◽  
Parametric Control ◽  
Generalized Sylvester Matrix Equation ◽  
Parametric Expression ◽  
The Lorenz System

This paper considers the parametric control to the Lorenz system by state feedback. Based on the solutions of the generalized Sylvester matrix equation (GSE), the unified explicit parametric expression of the state feedback gain matrix is proposed. The closed loop of the Lorenz system can be transformed into an arbitrary constant matrix with the desired eigenstructure (eigenvalues and eigenvectors). The freedom provided by the parametric control can be fully used to find a controller to satisfy the robustness criteria. A numerical simulation is developed to illustrate the effectiveness of the proposed approach.

Virtual Feedback Reference Tuning Using Closed-loop Step Response Data in Frequency Domain

2016 ◽  
Vol 136 (5) ◽  
pp. 715-721 ◽  
Author(s):  
Shiro Masuda ◽  
Xianda Kong ◽  
Koki Udagawa ◽  
Yoshihiro Matsui
Keyword(s):  
Frequency Domain ◽  
Closed Loop ◽  
Step Response ◽  
Response Data
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