H∞ Step Tracking Control for Networked Discrete-Time Nonlinear Systems With Integral and Predictive Actions

This paper investigates the step tracking control problem for discrete-time nonlinear systems in a networked environment with a limited capacity. The nonlinear system is represented by a Takagi-Sugeno (T-S) fuzzy system, and a network-induced delay is incorporated in the modeling of the connection l...

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Published in:IEEE transactions on industrial informatics Vol. 9; no. 1; pp. 337 - 345
Main Authors: Hui Zhang, Yang Shi, Mingxi Liu
Format: Journal Article
Language:English
Published: IEEE 01.02.2013
Subjects:
Actuators
Closed loop systems
Delay
linear matrix inequalities (LMIs)
networked control systems (NCSs)
Nonlinear systems
Stability analysis
Stochastic systems
{\cal H}_{\infty} control
ISSN:1551-3203
Online Access:Get full text
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Abstract This paper investigates the step tracking control problem for discrete-time nonlinear systems in a networked environment with a limited capacity. The nonlinear system is represented by a Takagi-Sugeno (T-S) fuzzy system, and a network-induced delay is incorporated in the modeling of the connection link. In order to compensate for the network link effects and eliminate the tracking error, we employ some techniques mainly used in the predictive control and the integral control. Moreover, a quadratic cost function which includes terms related to the performance of the system and the actuating capacity is used. We assume that the lumped network-induced delay lies within a known set, and that the occurrence probability for each element in the set is known a priori. Then, the delay information will be incorporated into the delay-dependent tracking controllers. The parameters for the tracking controller are derived by solving an optimization problem. A networked inverted pendulum is used to illustrate the efficacy of the proposed design method.
AbstractList This paper investigates the step tracking control problem for discrete-time nonlinear systems in a networked environment with a limited capacity. The nonlinear system is represented by a Takagi-Sugeno (T-S) fuzzy system, and a network-induced delay is incorporated in the modeling of the connection link. In order to compensate for the network link effects and eliminate the tracking error, we employ some techniques mainly used in the predictive control and the integral control. Moreover, a quadratic cost function which includes terms related to the performance of the system and the actuating capacity is used. We assume that the lumped network-induced delay lies within a known set, and that the occurrence probability for each element in the set is known a priori. Then, the delay information will be incorporated into the delay-dependent tracking controllers. The parameters for the tracking controller are derived by solving an optimization problem. A networked inverted pendulum is used to illustrate the efficacy of the proposed design method.
Author Yang Shi
Mingxi Liu
Hui Zhang
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  surname: Yang Shi
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  surname: Mingxi Liu
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  organization: Dept. of Mech. Eng., Univ. of Victoria, Victoria, BC, Canada
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Snippet This paper investigates the step tracking control problem for discrete-time nonlinear systems in a networked environment with a limited capacity. The nonlinear...
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StartPage 337
SubjectTerms Actuators
Closed loop systems
Delay
linear matrix inequalities (LMIs)
networked control systems (NCSs)
Nonlinear systems
Stability analysis
Stochastic systems
{\cal H}_{\infty} control
Title H∞ Step Tracking Control for Networked Discrete-Time Nonlinear Systems With Integral and Predictive Actions
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