Construction of ISS interval observers for triangular systems

Author(s):  
Frederic Mazenc ◽  
Olivier Bernard
2017 ◽  
Vol 40 (7) ◽  
pp. 2408-2415 ◽  
Author(s):  
Liang Liu ◽  
Shengyuan Xu ◽  
Xuejun Xie ◽  
Bing Xiao

Based on stochastic time-delay system stability criterion and a homogeneous domination approach, the output-feedback stabilization problem for a class of more general stochastic upper-triangular systems with state and input time-delays has been solved in this paper. Firstly, the initial system is changed into an equivalent one with a designed scalar by introducing a set of coordinate transformations. After that, by designing an implementable homogeneous reduced-order observer, and tactfully selecting a suitable Lyapunov–Krasoviskii functional and a low gain scale, a delay-independent output-feedback controller is explicitly constructed. Finally, the globally asymptotically stability in probability of the closed-loop system is ensured by rigorous proof. The simulation results demonstrate the efficiency of the proposed design scheme.


2021 ◽  
pp. 2100040
Author(s):  
Mohammad Khajenejad ◽  
Zeyuan Jin ◽  
Sze Zheng Yong

2018 ◽  
Vol 29 (16) ◽  
pp. 5456-5480 ◽  
Author(s):  
Damiano Rotondo ◽  
Andrea Cristofaro ◽  
Tor Arne Johansen ◽  
Fatiha Nejjari ◽  
Vicenç Puig

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