Robust performance analysis of linear time-invariant parameter-dependent systems using higher-order Lyapunov functions

2005 ◽  
Author(s):  
M. Sato
Keyword(s):  
Performance Analysis ◽  
Lyapunov Functions ◽  
Linear Time ◽  
Higher Order ◽  
Robust Performance ◽  
Linear Time Invariant ◽  
Invariant Parameter ◽  
Parameter Dependent ◽  
Time Invariant

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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