FIR-type robust H 2 and H ∞ control of discrete linear time-invariant polytopic systems via memory state-feedback control laws

2015 ◽  
Vol 13 (5) ◽  
pp. 1047-1056 ◽  
Author(s):  
Dong Hwan Lee ◽  
Young Hoon Joo ◽  
Sung Kwan Kim
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Linear Time ◽  
State Feedback Control ◽  
Memory State ◽  
Control Laws ◽  
Linear Time Invariant ◽  
Polytopic Systems ◽  
Time Invariant ◽  
Memory State Feedback

Robust Observer Based Control for Stability of Linear Systems: Application to Polytopic Systems

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Mouna Belguith ◽  
Amel Benabdallah
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
State Feedback ◽  
Linear Time ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Robust Observer ◽  
Linear Time Invariant ◽  
Polytopic Systems ◽  
Linear Time Invariant Systems

This paper investigates the problem of global stabilization by output feedback for linear time-invariant systems. We give first a procedure to design a robust observer for the linear system. Then using this robust observer with the robust state feedback control law developed by Molander and Willems (1980, “Synthesis of State Feedback Control Laws With a Specified Gain and Phase Margin,” IEEE Trans. Autom. Control, 25(5), pp. 928–931), we construct an output feedback which yields a closed loop system with robustness characteristics. That is, we establish a separation principle. Finally, we give sufficient conditions to establish a robust output feedback for linear polytopic systems.

scholarly journals Switched H2-state-feedback control with application to a fighter aircraft

2019 ◽  
Vol 233 (14) ◽  
pp. 5428-5437
Author(s):  
Emre Kemer ◽  
Hasan Başak ◽  
Emmanuel Prempain
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Linear Time ◽  
State Feedback Control ◽  
Time Varying ◽  
Fighter Aircraft ◽  
Control Laws ◽  
Use Of Time ◽  
External Signals ◽  
Parameter Dependent

This paper proposes two different [Formula: see text]-state-feedback controller synthesis algorithms for uncertain linear, time-varying, switched systems. The synthesis algorithms are based on a dwell-time approach, which makes use of time-varying parameter-dependent Lyapunov functions. The control laws consist of state-feedback controllers that are switched according to external signals. The proposed synthesis algorithms are then employed to design switched [Formula: see text]-state-feedback control laws for the longitudinal dynamics of the ADMIRE fighter benchmark model. The results obtained in simulation show the merits of the proposed approach.

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