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H-infinity control for discrete linear repetitive processes with time-delay

Yuansheng Xiong

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Abstract

The discrete linear repetitive process with time-delay is described by a 2-D state-space Roesser model. A sufficient condition is derived for this process to be stable and to have an H-infinity disturbance attenuation via the linear matrix inequality(LMI) approach. A state feedback H-infinity controller is then developed by solving a certain LMI. Furthermore, the optimal state-feedback H-infinity controller is obtained by solving a convex optimization problem with LMI constraints.

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What this paper is about

The discrete linear repetitive process with time-delay is described by a 2-D state-space Roesser model. A sufficient condition is derived for this process to be stable and to have an H-infinity disturbance attenuation via the linear matrix inequality(LMI) approach. A state feedback H-infinity controller is then developed by solving a certain LMI. Furthermore, the optimal state-feedback H-infinity controller is obtained by solving a convex optimization problem with LMI constraints.

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Available abstract

The discrete linear repetitive process with time-delay is described by a 2-D state-space Roesser model. A sufficient condition is derived for this process to be stable and to have an H-infinity disturbance attenuation via the linear matrix inequality(LMI) approach. A state feedback H-infinity controller is then developed by solving a certain LMI. Furthermore, the optimal state-feedback H-infinity controller is obtained by solving a convex optimization problem with LMI constraints.

Key concepts: H-infinity methods in control theory, Linear matrix inequality, Control theory (sociology), Mathematics, Controller (irrigation), Infinity, Discrete time and continuous time, Convex optimization

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