Delay-dependent stabilization of linear systems with time-varying state and input delays
By Xianming Zhang, Min Wu, Jinhua She, Yong He. at - Automatisierungstechnik, 2005
551 citations recorded by the source corpus.
The integral-inequality method is a new way of tackling the delay-dependent stabilization problem for a linear system with time-varying state and input delays: [email protected]?(t)=Ax(t)+A"1x(t-h"1(t))+B"1u(t)+B"2u(t-h"2(t)). In this paper, a new integral inequality for quadratic terms is first established. Then, it is used to obtain a new state- and input-delay-dependent criterion that ensures the stability of the closed-loop system with a memoryless state feedback controller. Finally, some numerical examples are presented to demonstrate that control systems designed based on the criterion are effective, even though neither (A,B"1) nor (A+A"1,B"1) is stabilizable.
Subfields: Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/9ad44ba8ab677ebaeec193a7496aab59f5407e96
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Citations in the corpus
- Delay‐range‐dependent robust stability and stabilization for uncertain systems with time‐varying delay (2008, background): “[12] calculated the upper bound h2 for which a state-feedback control law K exists to stabilize (32).”
- Containment analysis and design for high-order linear time-invariant singular swarm systems with time delays (2012, methodology): “[21] showed that this method has less conservation than other methods.”
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- Robust stabilization for uncertain discrete singular systems with state delay (2008, background): “Remark 13 The optimal values of tuning parameters 1, 2 and 3, which are introduced in Theorem 3, Theorem 4 and Corollary 2, can be found by the algorithm stated in [3].”
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- Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay (2015, methodology): “Lemma 2 [18]: For any matrices R ∈ Rn×n, Y ∈ R2n×n, and X ∈ R2n×2n with [ X Y ∗ R ] ≥ 0, and a vector function ẋ : [α, β] →”
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