Abstract
A robust asynchronous switching fault-tolerant control method is proposed to solve the problems of uncertainties, unknown disturbances, time-varying delays and partial actuator failures in multi-phase batch processes. Firstly, an asynchronous system composed of subsystems with different dimensions including stable and unstable case is established to describe such multi-phase batch processes more accurately. Then introducing the output tracking error, the established switching model of different dimensions is extended. On this basis, a robust asynchronous switching fault-tolerant control law is designed, which improves the system’s ability to cope with negative factors such as actuator failure and can obtain greater adjustment freedom. Secondly, by using relevant theories and methods, the sufficient conditions in the form of linear matrix inequality (LMI) are given to ensure the exponential stability of the system and the asymptotic stability at each phase. By solving these LMIs conditions, the shortest running time under stable case, the longest running time under unstable case and the control law gain of each phase are obtained. Finally, the effectiveness and feasibility of the proposed method are verified with injection molding process.
Highlights
With people's increasingly personalized and diversified needs, batch processes with high adjustability and small-scale are more popular
Liu et al [6] considered the influence of uncertainties, unknown disturbances and timevarying delays in the study of robust model predictive control based on matrix inequality
Reciprocating screw injection molding machine is the most common mechanical equipment in the injection molding industry, and the injection molding process is a typical multi-phase batch processes (MPBP), taking injection molding as an example can more accurately verify the effectiveness and feasibility of the method proposed in this paper
Summary
With people's increasingly personalized and diversified needs, batch processes with high adjustability and small-scale are more popular. Shi et al [24] proposed a robust predictive fault-tolerant control method for MPBP with time-varying delays, uncertainty and disturbances This control method can effectively solve the problem of inconsistent batch length in the iterative learning control method. A robust model predictive fault-tolerant control method is proposed for MPBP with uncertainties, unknown disturbances, interval time-varying delays, and partial actuator failures. (1) A switching model of extended state space containing stable and unstable conditions at each phase is established to describe a class of MPBP with time-varying delays and partial actuator failures Based on this model, a robust model predictive fault-tolerant control law is designed, which can effectively improve the control performance and improve the degree of freedom of the system.
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