Output Feedback Predictive Control of Interval Type-2 T-S Fuzzy Systems with Markovian Packet Loss

This paper is mainly concerned with the output feedback model predictive control (MPC) of nonlinear networked control systems (NCSs) with data quantization and packet loss. Affected by the parameter uncertainties, which can be captured with the lower and the upper membership functions, the nonlinear system is turned into the linear one by the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model. Stochastic variables with Markov jump linear model are exploited to represent the defective communication links with packet loss, and sector bound uncertainties are introduced to express the data quantization by applying the sector bound approach. The design of output feedback MPC scheme involves an off-line obtained state observer using the linear matrix inequality (LMI) technique and an on-line MPC optimization problem based on the designed estimation state. A new technique for refreshing the estimation error bound, which plays the key role of guaranteeing the recursive feasibility of optimization problem, is provided in this paper. A numerical example is given to demonstrate the effectiveness of the proposed output feedback MPC approach.