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Content Provider | IET Digital Library |
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Author | Wei, Yanling Wang, Mao Qiu, Jianbin |
Abstract | This study is concerned with the delay-dependent H ∞ filter design for a class of discrete-time Markovian jump linear systems (MJLSs) with time-varying delay and incomplete transition descriptions. The considered systems with incomplete transition descriptions cover the MJLSs with known transition probabilities (TPs), partially unknown TPs and uncertain TPs, which are more general. A new equivalent model is proposed for the original MJLSs by employing a two-term approximation method, which formulates the filtering problem in the framework of input–output stability. Based on a Markovian Lyapunov–Krasovskii functional combined with the scaled small gain theorem, a new delay-dependent bounded real lemma for the underlying systems is established. It is shown that by using a linearisation technique, the corresponding full- and reduced-order H ∞ filter design is cast into a convex optimisation problem in terms of linear matrix inequalities. Finally, simulation examples are provided to illustrate the effectiveness and less conservatism of the proposed approach. |
Starting Page | 684 |
Ending Page | 696 |
Page Count | 13 |
ISSN | 17518644 |
Volume Number | 7 |
e-ISSN | 17518652 |
Issue Number | Issue 5, Mar (2013) |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/7/5 |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2012.0621 |
Journal | IET Control Theory & Applications |
Access Restriction | Open |
Rights Holder | © The Institution of Engineering and Technology |
Subject Keyword | Approximation Theory Control System Analysis Control System Synthesis Convex Optimisation Problem Convex Programming Delay System Delay-dependent Bounded Real Lemma Delay-dependent H∞ Filter Design Delay-dependent H∞ Filter Design Discrete Control System Discrete Time System Discrete-time Markovian Jump Linear System Distributed Parameter Control System Filtering Method in Signal Processing Filtering Problem Full-order H∞ Filter Design Full-order H∞ Filter Design H∞ Filters H∞ Filter Incomplete Transition Description Input-output Stability Input–output Stability Interpolation And Function Approximation Linear Algebra Linear Matrix Inequalities Linearisation Technique Markov Processes Markovian Lyapunov-Krasovskii Functional Markovian Lyapunov–Krasovskii Functional MJLS Numerical Analysis Optimisation Technique Probability Reduced Order System Reduced-order H∞ Filter Design Reduced-order H∞ Filter Design Scaled Small Gain Theorem Signal Processing Theory Stability in Control Theory Synthesis Method Time Varying Control System Time Varying System Time-varying Delay Transition Probabilities Two-term Approximation Method Uncertain TP |
Content Type | Text |
Resource Type | Article |
Subject | Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications |
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