Gain scheduled output feedback control of discrete-time networked systems

Masahiro Tai; Kenko Uchida

doi:10.1109/CCA.2007.4389206

Gain scheduled output feedback control of discrete-time networked systems

Masahiro Tai, Kenko Uchida^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

This paper discusses the H_∞ control synthesis for discrete-time linear networked systems with time-varying delays in input and output channels. The time-varying delays are assumed to take their values in finite sets, and assumed to be measurable only on line. Our formulation allows the (worst) case of random delays with no stochastic assumption. Considering delays as parameters, we first reformulate the ℋ_∞ control problem for networked systems with time-varying delays into that for linear parameter-varying (LPV) systems with jumping parameters. Next, we present a sufficient condition, which is given as a finite set of linear matrix inequalities (LMIs) depending on values of parameters, for synthesizing a gain scheduled output feedback control for LPV systems with jumping parameters, and based on this condition, derive an output feedback controller scheduled with input-output delays. Finally, applying our controller to the networked system composed of the cart and inverted pendulum plant and the input-output channels with random jumping delays, we show that our controller, which does not assume any stochastic property on delays, displays a good performance almost similar to that of the existing stochastic ℋ_∞ controller.

Original language	English
Title of host publication	Proceedings of the IEEE International Conference on Control Applications
Pages	59-64
Number of pages	6
DOIs	https://doi.org/10.1109/CCA.2007.4389206
Publication status	Published - 2007
Event	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control - Duration: 2007 Oct 1 → 2007 Oct 3

Other

Other	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Period	07/10/1 → 07/10/3

ASJC Scopus subject areas

Engineering(all)

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10.1109/CCA.2007.4389206

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Tai, M & Uchida, K 2007, Gain scheduled output feedback control of discrete-time networked systems. in Proceedings of the IEEE International Conference on Control Applications., 4389206, pp. 59-64, 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control, 07/10/1. https://doi.org/10.1109/CCA.2007.4389206

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title = "Gain scheduled output feedback control of discrete-time networked systems",

abstract = "This paper discusses the H∞ control synthesis for discrete-time linear networked systems with time-varying delays in input and output channels. The time-varying delays are assumed to take their values in finite sets, and assumed to be measurable only on line. Our formulation allows the (worst) case of random delays with no stochastic assumption. Considering delays as parameters, we first reformulate the ℋ∞ control problem for networked systems with time-varying delays into that for linear parameter-varying (LPV) systems with jumping parameters. Next, we present a sufficient condition, which is given as a finite set of linear matrix inequalities (LMIs) depending on values of parameters, for synthesizing a gain scheduled output feedback control for LPV systems with jumping parameters, and based on this condition, derive an output feedback controller scheduled with input-output delays. Finally, applying our controller to the networked system composed of the cart and inverted pendulum plant and the input-output channels with random jumping delays, we show that our controller, which does not assume any stochastic property on delays, displays a good performance almost similar to that of the existing stochastic ℋ∞ controller.",

author = "Masahiro Tai and Kenko Uchida",

year = "2007",

doi = "10.1109/CCA.2007.4389206",

language = "English",

isbn = "1424404436",

pages = "59--64",

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N2 - This paper discusses the H∞ control synthesis for discrete-time linear networked systems with time-varying delays in input and output channels. The time-varying delays are assumed to take their values in finite sets, and assumed to be measurable only on line. Our formulation allows the (worst) case of random delays with no stochastic assumption. Considering delays as parameters, we first reformulate the ℋ∞ control problem for networked systems with time-varying delays into that for linear parameter-varying (LPV) systems with jumping parameters. Next, we present a sufficient condition, which is given as a finite set of linear matrix inequalities (LMIs) depending on values of parameters, for synthesizing a gain scheduled output feedback control for LPV systems with jumping parameters, and based on this condition, derive an output feedback controller scheduled with input-output delays. Finally, applying our controller to the networked system composed of the cart and inverted pendulum plant and the input-output channels with random jumping delays, we show that our controller, which does not assume any stochastic property on delays, displays a good performance almost similar to that of the existing stochastic ℋ∞ controller.

AB - This paper discusses the H∞ control synthesis for discrete-time linear networked systems with time-varying delays in input and output channels. The time-varying delays are assumed to take their values in finite sets, and assumed to be measurable only on line. Our formulation allows the (worst) case of random delays with no stochastic assumption. Considering delays as parameters, we first reformulate the ℋ∞ control problem for networked systems with time-varying delays into that for linear parameter-varying (LPV) systems with jumping parameters. Next, we present a sufficient condition, which is given as a finite set of linear matrix inequalities (LMIs) depending on values of parameters, for synthesizing a gain scheduled output feedback control for LPV systems with jumping parameters, and based on this condition, derive an output feedback controller scheduled with input-output delays. Finally, applying our controller to the networked system composed of the cart and inverted pendulum plant and the input-output channels with random jumping delays, we show that our controller, which does not assume any stochastic property on delays, displays a good performance almost similar to that of the existing stochastic ℋ∞ controller.

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ER -

Gain scheduled output feedback control of discrete-time networked systems

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