On stabilization of a new class of linear time-invariant interval systems via constant state feedback control

2000 ◽  
Vol 45 (11) ◽  
pp. 2106-2111 ◽  
Author(s):  
Jun Wang ◽  
Sanqing Hu
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Linear Time ◽  
State Feedback Control ◽  
Linear Time Invariant ◽  
New Class ◽  
Constant State ◽  
Time Invariant ◽  
Interval Systems

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 Robust stabilization withH∞performance for a class of linear parameter-dependent systems

2006 ◽  
Vol 2006 ◽  
pp. 1-15 ◽  
Author(s):  
Hamid Reza Karimi
Keyword(s):  
Linear Time ◽  
Robust Stabilization ◽  
State Feedback Control ◽  
Disturbance Attenuation ◽  
Linear Time Invariant ◽  
Quadratic Lyapunov Functions ◽  
Nonlinear Uncertainties ◽  
Invariant Parameter ◽  
Parameter Dependent ◽  
Time Invariant

We focus on the issue of robust stabilization withH∞performance for a class of linear time-invariant parameter-dependent systems under norm-bounded nonlinear uncertainties. By combining the idea of polynomially parameter-dependent quadratic Lyapunov functions and linear matrix inequalities formulations, some parameter-independent conditions with high precision are given to guarantee robust asymptotic stability and robust disturbance attenuation of the linear time-invariant parameter-dependent system in the presence of norm-bounded nonlinear uncertainties. The parameter-dependent state-feedback control is designed based on the Hamilton-Jacobi-Isaac (HJI) method. The applicability of the proposed design method is illustrated in a simple example.

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