title: Partial state estimation for linear systems with output and input time delays.
abstract: 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.
authors.affiliation: Faculty of Engineering and Information Technology, University of Technology, Sydney, NSW 2007, Australia. Electronic address: Quang.Ha@uts.edu.au.
authors.forename: Q P
authors.initials: QP
authors.lastname: Ha
authors.affiliation: Faculty of Engineering and Information Technology, University of Technology, Sydney, NSW 2007, Australia; Faculty of Marine Electrical and Electronics Engineering, Vietnam Maritime University, Vietnam.
authors.forename: Nguyen D
authors.initials: ND
authors.lastname: That
authors.affiliation: Department of Mathematics, Quynhon University, Binhdinh, Vietnam.
authors.forename: Phan T
authors.initials: PT
authors.lastname: Nam
authors.affiliation: School of Engineering, Deakin University, VIC 3217, Australia.
authors.forename: H
authors.initials: H
authors.lastname: Trinh
mesh_terms: D000465:Algorithms; D001186:Artificial Limbs; D003198:Computer Simulation; D004867:Equipment Design / Q000379:methods*; D006225:Hand; D006801:Humans; D016014:Linear Models; D016571:Neural Networks, Computer; D012371:Robotics
keywords: Delay decomposition; Lyapunov–Krasovskii functional; Output and input delay; Partial state observer; ε-Convergence