Abstract
In this chapter, \(\mathscr {H}_{\infty }\) filter for discrete-time switched linear systems is investigated with MDPDT switching. The designed filters are full order and mode-dependent, which can guarantee the closed-loop systems are GUAS with a non-weighted \(\ell _{2}\)-gain. Meanwhile, both time-scheduled and time-independent filters are designed, while the former filtering scheme can achieve less conservative disturbance attenuation performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hu, K., Yuan, J.: Improved robust \(\mathscr {H}_{\infty }\) filtering for uncertain discrete-time switched systems. IET Control Theory Appl. 3(3), 315–324 (2009)
Wang, D., Wang, W., Shi, P.: Design on \(\mathscr {H}_{\infty }\) filtering for discrete-time switched delay systems. Int. J. Syst. Sci. 42(12), 1965–1973 (2011)
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)
Zhang, L., Shi, P.: \(\mathscr {H}_{\infty }\) filtering for a class of switched linear parameter varying systems. Int. J. Syst. Sci. 42(5), 781–788 (2011)
Zhang, L., Zhuang, S., Shi, P.: Non-weighted quasi-time-dependent \(\mathscr {H}_{\infty }\) filtering for switched linear systems with persistent dwell-time. Automatica 54, 201–209 (2015)
Zhu, K., Zhao, J., Liu, Y.: \(\mathscr {H}_{\infty }\) filtering for switched linear parameter-varying systems and its application to aero-engines. IET Control Theory Appl. 10(18), 2552–2558 (2016)
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_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-25812-2_11
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)