Linear matrix inequality conditions for robustness and control design

2001 ◽  
Vol 11 (6) ◽  
pp. 541-554 ◽  
Author(s):  
Raffaello D'Andrea
Keyword(s):  
Linear Matrix Inequality ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
And Control

scholarly journals Load mitigation and power tracking capability for wind turbines using linear matrix inequality‐based control design

Wind Energy ◽  
2020 ◽  
Vol 23 (9) ◽  
pp. 1792-1809
Author(s):  
Florian Pöschke ◽  
Eckhard Gauterin ◽  
Martin Kühn ◽  
Jens Fortmann ◽  
Horst Schulte
Keyword(s):  
Linear Matrix Inequality ◽  
Wind Turbines ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality

scholarly journals Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Xin-rong Cong ◽  
Long-suo Li
Keyword(s):  
Linear Matrix Inequality ◽  
Robust Stability ◽  
Output Feedback ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Convex Optimization Problem ◽  
Control Laws ◽  
The Stability ◽  
And Control

This paper investigates the robust stability for a class of stochastic systems with both state and control inputs. The problem of the robust stability is solved via static output feedback, and we convert the problem to a constrained convex optimization problem involving linear matrix inequality (LMI). We show how the proposed linear matrix inequality framework can be used to select a quadratic Lyapunov function. The control laws can be produced by assuming the stability of the systems. We verify that all controllers can robustly stabilize the corresponding system. Further, the numerical simulation results verify the theoretical analysis results.

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