Design of delay observer-based controllers for uncertain time-lag systems.
Mahmoud, Magdi S., Zribi, Mohamed (1999)
Mathematical Problems in Engineering
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Mahmoud, Magdi S., Zribi, Mohamed (1999)
Mathematical Problems in Engineering
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Lubomír Bakule, Josep M. Rossell (2008)
Kybernetika
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Man Sun, Yingmin Jia (2009)
Control and Cybernetics
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Germain Garcia, Sophie Tarbouriech (2001)
Kybernetika
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A method to derive a nonlinear bounded state feedback controller for a linear continuous-time system with time-delay in the state is proposed. The controllers are based on an -parameterized family of algebraic Riccati equations or on an -parameterized family of LMI optimization problems. Hence, nested ellipsoidal neighborhoods of the origin are determined. Thus, from the Lyapunov–Krasovskii theorem, the uniform asymptotic stability of the closed-loop system is guaranteed and a certain...
Ting-Li Chien, Chung-Cheng Chen, Chia-Ju Wu, Yi-Chieh Huang, Chih-Yuann Chen (2007)
Control and Cybernetics
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Leite, Valter J.S., Miranda, Márcio F. (2008)
Mathematical Problems in Engineering
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Mai Viet Thuan, Vu Ngoc Phat, Hieu Trinh (2012)
International Journal of Applied Mathematics and Computer Science
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This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent...