Robust stabilization for a class of complex production process systems based on multi-dimensional moving pattern

Abstract

This paper studies robust stabilization problem and state feedback controller design problem for a class of complex production process systems by pattern class variable instead of state variable or output variable. Firstly, the maximum entropy clustering method is introduced and modeling method based on multi-dimensional moving pattern is given. Nonlinear state space models of systems with input-delay are established by using the trajectories of pattern class variable. Then sufficient conditions for robust stabilization of the system are obtained by Linear Matrix Inequality. In addition, a state feedback controller is designed based on this condition. Finally, the effectiveness of the methods is illustrated by taking the actual working conditions data as an example.

Pattern-Moving-Modelling and Analysis Based on Clustered Generalized Cell Mapping for a Class of Complex Systems

“…Recent research suggests that the solutions adopted for solving these computation challenges include generalized probability density evolution, interval numbers, and class centres [10][11][12]. Additionally, many studies have embraced the technique of integrating both implicit and explicit measures of the pattern class centre, where the modelling and control of the system are examined using the model permitted by the theory of control [13,14]. Of note, these methods are considered as linear for the modelling system.…”