lmi technique
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Author(s):  
Yingzi Guan ◽  
Kai Zhu ◽  
Chunlin Song

Concerning with stability control of a hypersonic vehicle in the presence of input amplitude saturation and rate saturation simultaneously, a state feedback controller is designed based on LMI technique. The uncertainties of aircraft model are regarded as a known “total disturbance”. Using the actuator dynamics, the aircraft model is transformed into an extended system with nested saturation. An invariant set condition of a system which subject to nested input saturation and disturbance is derived. Controller design is transformed into the maximization of the domain of attraction using LMI technique. As the actuator amplitude is regarded as an extended state, invariant set condition and state constraint are all considered in the LMI constraints to get a rational domain of attraction. Then the optimization problem is solved by sequence quadratic program method. Simulation results show the stability and good robustness of the proposed method in the presence of aerodynamic dispersion, as well as control input amplitude and rate saturation.


2014 ◽  
Vol 1014 ◽  
pp. 355-358
Author(s):  
Jin Gui Liu

This paper deals with robust synchronization of a class of uncertain fractional-order complex networks. Robust stability criteria of uncertain fractional-order system with is investigated based on LMI technique. Furthermore, robust synchronization of uncertain fractional-order complex networks is discussed based on the LMI technique. Finally, numerical example is given to illustrate the effectiveness of the proposed methods.


2013 ◽  
Vol 791-793 ◽  
pp. 888-891
Author(s):  
Zhi Yuan ◽  
Li Na Wu ◽  
Zheng Fang Wang ◽  
Jie Liu

This paper investigates the adaptive observer-based robust fault estimation problem for linear uncertain systems with disturbances. Sufficient conditions for the existence of such a fault estimation observer are given in terms of matrix inequalities. The solution is obtained by the linear matrix inequality (LMI) technique. An example is given to demonstrate the effectiveness of the proposed approach.


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