scholarly journals H ∞ filtering for non-linear systems with stochastic sensor saturations and Markov time delays: the asymptotic stability in probability

2016 ◽  
Vol 10 (14) ◽  
pp. 1706-1715 ◽  
Author(s):  
Yang Liu ◽  
Xiao He ◽  
Zidong Wang ◽  
Donghua Zhou
Keyword(s):  
Asymptotic Stability ◽  
Linear Systems ◽  
Time Delays ◽  
Stability In Probability ◽  
Non Linear ◽  
Asymptotic Stability In Probability ◽  
Non Linear Systems

Passive output feedback control for non-linear systems with time delays

2009 ◽  
Vol 223 (6) ◽  
pp. 737-743 ◽  
Author(s):  
X Luan ◽  
F Liu ◽  
P Shi
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Time Delays ◽  
Passive Control ◽  
Output Feedback Control ◽  
Design Tool ◽  
Linear Matrix ◽  
Non Linear ◽  
Non Linear Systems

This paper focuses on the passive output feedback control problem for a class of non-linear systems with time delays. By using multilayer neural networks as an off-line-aided design tool, a dynamic output feedback controller with certain dissipation is developed using the passive control theory in terms of linear matrix inequalities (LMIs), which guarantees the closed-loop system asymptotically stable and strictly passive. It is shown that the solvability of the passive controller design problem is implied by the feasibility of LMIs. A numerical example is given to demonstrate the validity of the proposed approach.

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