Fuzzy-Model-Based Reliable Static Output Feedback Control of Nonlinear Hyperbolic PDE Systems


This paper investigates the problem of output feedback robust ℋ∞ management 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 1st expressed by Takagi-Sugeno fuzzy models with parameter uncertainties, and then, the target is to design a reliable distributed fuzzy static output feedback controller guaranteeing the stochastic exponential stability of the ensuing closed-loop system with certain ℋ∞ disturbance attenuation performance. Primarily based on a Markovian Lyapunov purposeful combined with some matrix inequality convexification techniques, two approaches are developed for reliable fuzzy static output feedback controller style 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 primarily based on the finite-distinction method in house. Finally, 2 examples are presented to demonstrate the effectiveness of the proposed ways.

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