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Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems by Jianbin Qiu; Steven X. Ding; Huijun Gao; Shen Yin is a Computer Science article available to read on EtoBox.

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This paper investigates the problem of output feedback robust H∞ control for a class of nonlinear spatially distributed systems described by first-order hyperbolic partial differential equations (PDEs) with Markovian jumping actuator faults. The nonlinear hyperbolic PDE systems are firstly expressed by T-S fuzzy models with parameter uncertainties and then the objective is to design a reliable distributed fuzzy static output feedback controller guaranteeing the stochastic exponential stability of the resulting closed-loop system with certain H∞ disturbance attenuation performance. Based on a Markovian Lyapunov functional combined with some matrix inequality convexification techniques, two approaches are developed for reliable fuzzy static output feedback controller design of the underlying fuzzy PDE systems. It is shown that the controller gains can be obtained by solving a set of finite linear matrix inequalities based on the finite difference method in space. Finally, two examples are presented to demonstrate the effectiveness of the proposed methods.

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Author

Jianbin Qiu; Steven X. Ding; Huijun Gao; Shen Yin

Published

2016

Language

EN

Field

Computer Science (Physical Sciences)