Fuzzy Output Regulation of Nonlinear Time-Delay Distributed Parameter Systems With Quantization and Actuator Failures: Application to Hot Strip Mill Cooling Process

Abstract

The output regulation of nonlinear distributed parameter systems (DPSs) with time-varying delay is studied in this article. By employing the Takagi–Sugeno (T–S) fuzzy model, the nonlinear time-delay DPSs are described as a fuzzy partial differential equation. To deal with the limited capability of communication channels, the state information and output regulation error are quantized by a kind of dynamic quantizer. The actuator failures which occur frequently in practice are considered in two cases: to be unknown and to follow the Bernoulli stochastic distribution. Then, the boundary-control-based output regulation controllers are designed based on the derived T–S fuzzy model. And fuzzy controller design strategies are proposed to ensure the system state and the output regulation error are finite-time bounded. By constructing appropriate Lyapunov functionals, sufficient conditions for the control gains and the quantizer’s adjusting parameters are provided in forms of linear matrix inequalities. Finally, an application of the output regulation strategies into the cooling process in a hot strip mill is explored. The feasibility and effectiveness of the design strategies are indicated through the simulation results.