New Stability Conditions and Dynamic Feedback Designs

2003 ◽  
pp. 229-257 ◽  
Keyword(s):  
Stability Conditions ◽  
Dynamic Feedback

Stability Conditions Related to a Previously Unrecognized Form of Thrombin

1972 ◽  
Vol 27 (02) ◽  
pp. 361-362 ◽  
Author(s):  
Walter H. Seegers ◽  
Lowell E. McCoy
Keyword(s):  
Stability Conditions

Guidance of aeroassisted vehicles by static and dynamic feedback

1995 ◽  
Author(s):  
Charalmbos Charalambous ◽  
Raed Jaber ◽  
D Naidu
Keyword(s):  
Dynamic Feedback

scholarly journals Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Firas Turki ◽  
Hassène Gritli ◽  
Safya Belghith
Keyword(s):  
State Feedback ◽  
Position Control ◽  
External Disturbance ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Stability Conditions ◽  
Mechanical Oscillator ◽  
Impact Oscillator ◽  
State Feedback Controller ◽  
The Impact

This paper proposes a state-feedback controller using the linear matrix inequality (LMI) approach for the robust position control of a 1-DoF, periodically forced, impact mechanical oscillator subject to asymmetric two-sided rigid end-stops. The periodic forcing input is considered as a persistent external disturbance. The motion of the impacting oscillator is modeled by an impulsive hybrid dynamics. Thus, the control problem of the impact oscillator is recast as a problem of the robust control of such disturbed impulsive hybrid system. To synthesize stability conditions, we introduce the S-procedure and the Finsler lemmas by only considering the region within which the state evolves. We show that the stability conditions are first expressed in terms of bilinear matrix inequalities (BMIs). Using some technical lemmas, we convert these BMIs into LMIs. Finally, some numerical results and simulations are given. We show the effectiveness of the designed state-feedback controller in the robust stabilization of the position of the impact mechanical oscillator under the disturbance.

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