Design of a Static Output Feedback H-Infinity Controller for Linear Time-Invariant Systems: an LMI Approach

2018 ◽  
Author(s):  
Mehmet Nur Alpaslan Parlakci
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Static Output Feedback ◽  
Lmi Approach ◽  
H Infinity ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant ◽  
Static Output

scholarly journals Eigenvalue Placement by Quantifier Elimination - the Static Output Feedback Problem

2020 ◽  
Vol 24 (3) ◽  
pp. 409-427
Author(s):  
Klaus Röbenack ◽  
Rick Voßwinkel
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Quantifier Elimination ◽  
Static Output Feedback ◽  
Design Problems ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Active Research ◽  
Time Invariant ◽  
Static Output

This contribution deals with the static output feedback problem of linear time-invariant systems. This is still an area of active research, in contrast to the observer-based state feedback problem, which has been solved decades ago. We consider the formulation and solution of static output feedback design problems using quantifier elimination techniques. Stabilization as well as more specified eigenvalue placement scenarios are the focus of the paper.

scholarly journals Static output feedback stabilization of discrete time linear time invariant systems based on approximate dynamic programming

2020 ◽  
Vol 42 (16) ◽  
pp. 3168-3182
Author(s):  
Okan Demir ◽  
Hitay Özbay
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Linear Time ◽  
Feedback Stabilization ◽  
Mixed Integer ◽  
Static Output Feedback ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
Time Linear ◽  
Static Output

This study proposes a method for the static output feedback (SOF) stabilization of discrete time linear time invariant (LTI) systems by using a low number of sensors. The problem is investigated in two parts. First, the optimal sensor placement is formulated as a quadratic mixed integer problem that minimizes the required input energy to steer the output to a desired value. Then, the SOF stabilization, which is one of the most fundamental problems in the control research, is investigated. The SOF gain is calculated as a projected solution of the Hamilton-Jacobi-Bellman (HJB) equation for discrete time LTI system. The proposed method is compared with several examples from the literature.

New Results on Linear Time Invariant and Parameter Varying Static Output Feedback

2008 ◽  
Vol 31 (5) ◽  
pp. 1230-1238 ◽  
Author(s):  
Ricardo S. Sanchez-Pena ◽  
Phalguna Kumar Rachinayani ◽  
Dario H. Baldelli
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Static Output Feedback ◽  
Linear Time Invariant ◽  
Parameter Varying ◽  
Time Invariant ◽  
Static Output

Nonfragile H∞ Output Feedback Controller Design for Linear Systems*

2003 ◽  
Vol 125 (1) ◽  
pp. 117-123 ◽  
Author(s):  
Guang-Hong Yang ◽  
Jian Liang Wang
Keyword(s):  
Output Feedback ◽  
Controller Design ◽  
Linear Time ◽  
Output Feedback Control ◽  
Disturbance Attenuation ◽  
Output Measurement ◽  
Linear Time Invariant ◽  
Measurement Feedback ◽  
Linear Time Invariant Systems ◽  
Time Invariant

This paper is concerned with the nonfragile H∞ controller design problem for linear time-invariant systems. The controller to be designed is assumed to have norm-bounded uncertainties. Design methods are presented for dynamic output (measurement) feedback. The designed controllers with uncertainty (i.e. nonfragile controllers) are such that the closed-loop system is quadratically stable and has an H∞ disturbance attenuation bound. Furthermore, these robust controllers degenerate to the standard H∞ output feedback control designs, when the controller uncertainties are set to zero.

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