Abstract
In this chapter, \(\mathscr {H}_{\infty }\) filter for discrete-time switched linear systems is investigated under MDADT switching. The designed filters are both mode-dependent and QTD, which can guarantee the resulting filtering error systems are GUAS with a weighted \(\ell _{2}\)-gain performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Du, D., Jiang, B., Shi, P., Zhou, S.: \(\mathscr {H}_{\infty }\) filtering of discrete-time switched systems with state delays via switched Lyapunov function approach. IEEE Trans. Autom. Control 52(8), 1520–1525 (2007)
Hu, K., Yuan, J.: Improved robust \(\mathscr {H}_{\infty }\) filtering for uncertain discrete-time switched systems. IET Contr. Theory Appl. 3(3), 315–324 (2009)
Tian, E., Wong, W.K., Yue, D., Yang, T.: \(\mathscr {H}_{\infty }\) filtering for discrete-time switched systems with known sojourn probabilities. IEEE Trans. Autom. Control 60(9), 2446–2451 (2015)
Xiang, W., Xiao, J., Iqbal, M.N.: \(\mathscr {H}_{\infty }\) filtering for short-time switched discrete-time linear systems. Circuits Syst. Signal Process. 31(6), 1927–1949 (2012)
Xiao, X., Zhou, L., Lu, G.: Event-triggered \(\mathscr {H}_{\infty }\) filtering of continuous-time switched linear systems. Signal Process. 141, 343–349 (2017)
Zhang, L., Boukas, E.K., Shi, P.: Exponential \(\mathscr {H}_{\infty }\) filtering for uncertain discrete-time switched linear systems with average dwell time: A \(\mu \)-dependent approach. Int. J. Robust Nonlinear Control 18(11), 1188–1207 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Fei, Z., Shi, S., Shi, P. (2020). \(\mathscr {H}_{\infty }\) Filtering. In: Analysis and Synthesis for Discrete-Time Switched Systems. Studies in Systems, Decision and Control, vol 244. Springer, Cham. https://doi.org/10.1007/978-3-030-25812-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-25812-2_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-25811-5
Online ISBN: 978-3-030-25812-2
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)