An Approach to Partial Quadratic Eigenvalue Assignment of Damped Vibration Systems Using Static Output Feedback

2018 ◽  
Vol 18 (01) ◽  
pp. 1850012 ◽  
Author(s):  
Jiafan Zhang ◽  
Yongxin Yuan ◽  
Hao Liu
Keyword(s):  
Output Feedback ◽  
Second Order ◽  
Order System ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Homogeneous Matrix ◽  
Quadratic Eigenvalue ◽  
Static Output ◽  
Damped Vibration Systems ◽  
Eigenvalue Assignment

This paper addresses the problem of the partial eigenvalue assignment for second-order damped vibration systems by static output feedback. The presented method uses the combined acceleration, velocity and displacement output feedback and works directly on second-order system models without the knowledge of the unassigned eigenpairs. It allows the input and output matrices to be prescribed beforehand in a simple form. The real-valued spectral decomposition of the symmetric quadratic pencil is adopted to derive a homogeneous matrix equation of output feedback gain matrices that assure the no spillover eigenvalue assignment. The method is validated by some illustrative numerical examples.

Regional Pole Placement via Static Output Feedback Based on Coordinate Transformation

2012 ◽  
Vol 546-547 ◽  
pp. 916-921
Author(s):  
Hai Bin Shi ◽  
Li Qi
Keyword(s):  
Output Feedback ◽  
Coordinate Transformation ◽  
Pole Placement ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Gain Matrix ◽  
Matrix Variable ◽  
Regional Pole Placement ◽  
Static Output

This paper focuses on the regional pole placement via static output feedback. Under proper state coordinate transformation with a free matrix variable, the static output feedback gain may be obtained by solving a linear matrix inequality (LMI). The LMI is feasible only if the poles of a dummy control system are in the given LMI region. The free matrix variable can regulate the dummy system as a state feedback gain matrix. So once the free variable is determined, the static output feedback gain matrix may be obtained by an LMI-based method. The main computations do not concern any reduction or enlargement of matrix inequalities. Numerical examples show the effectiveness of the proposed algorithm.

Low Cost Output Feedback Controllers for Small UAVs

2011 ◽  
Author(s):  
Chandra B. Asthana ◽  
Seetharama M. Bhat
Keyword(s):  
Output Feedback ◽  
Low Cost ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Matrix Equations ◽  
Unknown Parameters ◽  
Feedback Controllers ◽  
General State Space ◽  
Static Output ◽  
Space Description

This article demonstrates that many general forms of pre-compensators can be included in a Multi-Input-Multi-Output (MIMO) plant with a very general state-space description and the augmented plant can be reduced to static output feedback (SOF) form that is required for optimal design. The main contribution lies in solving very cumbersome algebraic matrix equations, for each configuration, to separate the unknown parameters after the optimal static output feedback gain matrix is achieved. Once the designers see that such configurations with chosen pre-compensators can be dealt with, they would be motivated to consider a suitable configuration for the specific application and finally achieve low cost controllers that are simple to implement and require low computational power.

scholarly journals H∞Static Output Tracking Control of Nonlinear Systems with One-Sided Lipschitz Condition

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Leipo Liu ◽  
Xiaona Song
Keyword(s):  
Nonlinear Systems ◽  
Lipschitz Condition ◽  
Output Feedback ◽  
Tracking Control ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Static Output

This paper is concerned withH∞static output tracking control of nonlinear systems with one-sided Lipschitz condition. The dimensions of system model and reference model may be different. A static output feedback controller is designed to guarantee that the system output asymptotically tracks the reference output withH∞disturbance rejection level. A new sufficient condition is derived to obtain the static output feedback gain by linear matrix inequality (LMI), and no equality constraints can be needed. Finally, an example is given to illustrate the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document