Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties

Automatica ◽  
2013 ◽  
Vol 49 (6) ◽  
pp. 1821-1829 ◽  
Author(s):  
Jiuxiang Dong ◽  
Guang-Hong Yang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Control Synthesis ◽  
Continuous Systems ◽  
Static Output Feedback ◽  
Static Output Feedback Control ◽  
Polytopic Uncertainties ◽  
Static Output

LMI Formulation for Static Output Feedback Control of Linear Continuous System

2011 ◽  
Vol 186 ◽  
pp. 312-316
Author(s):  
Xin Gang Wang ◽  
Dong Mei Zhang ◽  
Jun Liu
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Continuous System ◽  
Linear Matrix ◽  
Continuous Systems ◽  
Static Output Feedback ◽  
Guaranteed Cost ◽  
Static Output Feedback Control ◽  
Static Output

In this paper, the static output feedback control of a class of continuous systems is considered. Thanks to the Reciprocal Projection Lemma, it is shown that the solution of the continuous system with static output feedback problem is conditioned by a set of linear matrix inequalities (LMIs), which are numerically tractable and free from any equality constraint. Furthermore, a convex optimization problem with LMI constraint is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop systems. Numerical examples are given to illustrate the effectiveness of the proposed methods.

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