NDLI: Stability and performance of packet-based feedback control over a Markov channel

Content Provider	IEEE Xplore Digital Library
Author	Kawka, P.A. Alleyne, A.G.
Copyright Year	2006
Description	Author affiliation: Dept. of Mech. & Ind. Eng., Illinois Univ., Urbana, IL (Kawka, P.A.; Alleyne, A.G.)
Abstract	This paper examines a packet-based control strategy to improve the stability and performance of a networked control system with transmission losses that follow a stochastic 2-state Markov model. Typically, in a discrete time network control framework, a single control value is transmitted during each sample period. In a packet-based environment, however, there is no penalty for sending additional information in each transmission up to the fixed minimum packet size. When an accurate model of the plant dynamics is available, estimated control values can be included in each packet and applied when transmission delays are longer than the sample period or dropouts occur. The effects of data losses are analyzed using a discrete dynamics switched system framework. When the network transmits data successfully, standard closed loop dynamics exist using the latest feedback measurements. When packets are dropped, an alternate open loop set of dynamics are active. These dynamics incorporate the estimated control values that are applied when information is lost or delayed. Using analysis tools for stochastic stability of Markov jump linear systems, network operating conditions can be identified for given plant dynamics that ensure second moment stability (SMS) for zero, TV, or infinitely many estimated control values per packet. Additionally, a bounded real lemma for stochastic switched system $H_{infin}$ norms enables comparison of the expected disturbance to output performance for different numbers of control estimates. Analysis and experiments using an inverted pendulum show that this system obtains the greatest incremental stability and performance benefit from the first estimated control value
Sponsorship	American Automatic Control Council IFAC
File Size	735935
File Format	PDF
ISBN	1424402093
e-ISBN	1424402107
DOI	10.1109/ACC.2006.1656649
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-06-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Feedback control Delay estimation Stochastic systems Stability analysis Control systems Switched systems Performance loss Networked control systems Propagation losses Data analysis
Content Type	Text
Resource Type	Article

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