scholarly journals Robust Stabilization for a Class of Uncertain Discrete-time Switched Linear Systems

10.5772/14327 ◽  
2011 ◽  
Author(s):  
Songlin Chen ◽  
Yu Yao ◽  
Xiaoguan Di
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Switched Linear Systems

scholarly journals Robust State Feedback Stabilization of Uncertain Discrete-Time Switched Linear Systems Subject to Actuator Saturation

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Xinquan Zhang ◽  
Guoliang Wang ◽  
Jun Zhao
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Lyapunov Functions ◽  
State Feedback ◽  
Robust Stabilization ◽  
Domain Of Attraction ◽  
Feedback Stabilization ◽  
Multiple Lyapunov Functions ◽  
Switched Linear Systems ◽  
Lyapunov Functions Method

The robust stabilization problem is investigated for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the multiple Lyapunov functions method. A switching law and a state feedback law are designed to asymptotically stabilize the system with a large domain of attraction. Based on the multiple Lyapunov functions method, sufficient conditions are obtained for robust stabilization. Furthermore, when some parameters are given in advance, the state feedback controllers and the estimation of domain of attraction are presented by solving a convex optimization problem subject to a set of linear matrix inequalities (LMI) constraints. A numerical example is given to show the effectiveness of the proposed technique.

Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty

1994 ◽  
Vol 22 (5) ◽  
pp. 327-339 ◽  
Author(s):  
Germain Garcia ◽  
jacques Bernussou ◽  
Denis Arzelier
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Time Varying ◽  
Time Linear
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