Abstract
In this chapter, design methods of the sampled-data control under missing data for dynamics systems have been developed. Two models of discontinuous sampled-data control signals in the presence of the consecutive missing data scenario are proposed by using stochastic variables with a Bernoulli distributed white sequence. Sufficient conditions for the existence of desired sampled-data controllers are presented in the form of a linear matrix inequality. Finally, developed methods have been applied to RLC circuit to show the validity of the proposed methods.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Wu ZG, Park JH, Su H, Chu J (2013) Non-fragile synchronisation control for complex networks with missing data. Int J Control 86:555–566
Wang Z, Shen B, Shu H, Wei G (2012) Quantized \(\mathscr {H}_{\infty }\) control for nonlinear stochastic time-delay systems with missing measurements. IEEE Trans Autom Control 57:1431–1444
Schenato L (2008) Optimal estimation in networked control systems subject to random delay and packet drop. IEEE Trans Autom Control 53:1311–1317
Gao H, Chen T, Wang L (2008) Robust fault detection with missing measurements. Int J Control 81:804–819
Shu Z, Lam J, Xiong J (2009) Non-fragile exponential stability assignment of discrete-time linear systems with missing data in actuators. IEEE Trans Autom Control 54:625–630
Gao H, Wu J, Shi P (2009) Robust sampled-data \(\mathscr {H}_{\infty }\) control with stochastic sampling. Automatica 45:1729–1736
Lee TH, Park JH, Lee SM, Kwon OM (2013) Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control. Int J Control 86:107–119
Tangirala AK, Li D, Patwardhan RS, Shah SL, Chen T (2001) Ripple-free conditions for lifted multirate control systems. Automatica 37:1637–1645
Lee TH, Wu ZG, Park JH (2012) Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control. Appl Math Comput 219:1354–1366
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Park, J.H., Shen, H., Chang, XH., Lee, T.H. (2019). Sampled-Data Control for a Class of Linear Systems with Randomly Occurring Missing Data. In: Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals. Studies in Systems, Decision and Control, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-96202-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-96202-3_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-96201-6
Online ISBN: 978-3-319-96202-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)