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Partial state estimation for linear systems with output and input time delays.

Title: Partial state estimation for linear systems with output and input time delays.
Authors: QP Ha; ND That; PT Nam; Hieu Trinh
Publication Year: 2014
Subject Terms: Electrical engineering not elsewhere classified; Manufacturing engineering not elsewhere classified; Applied mathematics not elsewhere classified; Delay decomposition; Lyapunov–Krasovskii functional; Output and input delay; Partial state observer; ε-Convergence; Algorithms; Artificial Limbs; Computer Simulation; Equipment Design; Hand; Humans; Linear Models; Neural Networks (Computer); Robotics; Science & Technology; Technology; Engineering; Multidisciplinary; Instruments & Instrumentation; epsilon-Convergence; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; LMI APPROACH; STABILITY; DISTURBANCES; INEQUALITY; 010204 Dynamical Systems in Applications
Description: This paper deals with the problem of partial state observer design for linear systems that are subject to time delays in the measured output as well as the control input. By choosing a set of appropriate augmented Lyapunov-Krasovskii functionals with a triple-integral term and using the information of both the delayed output and input, a novel approach to design a minimal-order observer is proposed to guarantee that the observer error is ε-convergent with an exponential rate. Existence conditions of such an observer are derived in terms of matrix inequalities for the cases with time delays in both the output and input and with output delay only. Constructive design algorithms are introduced. Numerical examples are provided to illustrate the design procedure, practicality and effectiveness of the proposed observer.
Document Type: article in journal/newspaper
Language: unknown
Relation: http://hdl.handle.net/10536/DRO/DU:30069138; https://figshare.com/articles/journal_contribution/Partial_state_estimation_for_linear_systems_with_output_and_input_time_delays_/20924512
Availability: http://hdl.handle.net/10536/DRO/DU:30069138; https://figshare.com/articles/journal_contribution/Partial_state_estimation_for_linear_systems_with_output_and_input_time_delays_/20924512
Rights: All Rights Reserved
Accession Number: edsbas.AC813308
Database: BASE