Static output feedback control for positive linear continuous-time systems

2012 ◽  
Vol 23 (14) ◽  
pp. 1537-1544 ◽  
Author(s):  
Cuihong Wang ◽  
Tianmin Huang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Continuous Time ◽  
Output Feedback Control ◽  
Static Output Feedback ◽  
Continuous Time Systems ◽  
Static Output Feedback Control ◽  
Time Systems ◽  
Static Output

scholarly journals Sufficient Dilated LMI Conditions for Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Kamel Dabboussi ◽  
Jalel Zrida
Keyword(s):  
Output Feedback ◽  
Continuous Time ◽  
Robust Stabilization ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Slack Variables ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Static Output

New sufficient dilated linear matrix inequality (LMI) conditions for the static output feedback control problem of linear continuous-time systems with no uncertainty are proposed. The used technique easily and successfully extends to systems with polytopic uncertainties, by means of parameter-dependent Lyapunov functions (PDLFs). In order to reduce the conservatism existing in early standard LMI methods, auxiliary slack variables with even more relaxed structure are employed. It is shown that these slack variables provide additional flexibility to the solution. It is also shown, in this paper, that the proposed dilated LMI-based conditions always encompass the standard LMI-based ones. Numerical examples are given to illustrate the merits of the proposed method.

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