${\mathcal{H}}_2$ State Feedback Control Design of Continuous-Time Positive Linear Systems

2017 ◽  
Vol 62 (11) ◽  
pp. 5844-5849 ◽  
Author(s):  
Grace S. Deaecto ◽  
Jose C. Geromel
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Continuous Time ◽  
State Feedback ◽  
Control Design ◽  
State Feedback Control

H ∞ Control for Continuous-Time Switched Linear Systems

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
Grace S. Deaecto ◽  
José C. Geromel
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Continuous Time ◽  
Design Problem ◽  
State Feedback ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Switched Linear Systems

This paper deals with the output feedback H∞ control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a dynamic full order linear controller to satisfy a prespecified H∞ level defined by the L2 gain from the input to the output signal. Initially, the state feedback version of this problem is solved in order to put in evidence the main difficulties we have to face toward the solution of the output feedback control design problem. The results reported in this paper are based on the so called Lyapunov–Metzler inequalities, which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through a linear matrix inequality based method is the main contribution of the present paper. An academic example borrowed from literature is used for illustration.

Sign in / Sign up

Export Citation Format

Share Document