Abstract
For multi-phase batch processes with partial failure of the actuator and unknown disturbance, this paper proposes a minimax optimization design method for H ∞ linear quadratic fault-tolerant tracking control based on switching strategy. Firstly, a non-minimum state space model is constructed based on the input-output model given by the batch process, and then a discrete switched model consisting of state errors, tracking errors and new state variables containing tracking errors is constructed. In this model, the antidisturbances performance index function with terminal constraint is selected, and the controller and the external disturbances are obtained by using the optimization theory. Then, under the acquired control law, the switching signal is designed and the range of uncertainty caused by the fault is given to realize the robustness of the system. The advantage of this design is that the system is tracking fast and the tracking error is small. Finally, by taking the parameters such as speed and pressure in the process of injection molding as examples, and comparing with the traditional control methods, the method presented in this paper is proved to be effective.
Highlights
Batch production processes have developed rapidly in recent years due to its wide application in industrial process
The object is to design the controller based on the established model so that the output of the actual system can track the given output as much as possible, even if the actuators in the system fail
The auto-regressive model based on input-output process data is transformed into a traditional non-minimum state space model (TNMSS): xi(k + 1) = Ai xi(k) + Bi ui(k) + Biw wi(k) (12)
Summary
Batch production processes have developed rapidly in recent years due to its wide application in industrial process. J. Mao et al.: New Minimax Optimization Design of H∞ LQ Fault-Tolerant Tracking Control for Multi-Phase Batch Processes will change. One is to propose different iterative learning fault-tolerant control design methods, namely 2D control theory, according to the repetitive characteristics of batch production These results are reflected in the single-phase batch process [15]–[18] and the multi-phase process [19], [20]. In the case of the actuator failure, the design iterative learning fault-tolerant control strategy for the multi-phase batch process has appeared [30]. A new design of the minimax H∞ tracking fault-tolerant control strategy is proposed by using the extended non-minimum state space model. I and 0 respectively denote the identity matrix and the zero matrix with appropriate dimensions. σmi ax(χ ) is the maximum singular value. λimin(χ ) and λimax(χ ) are respectively the minimum eigenvalue and the maximum eigenvalue of χ i. · represents the norm of matrix ‘‘·’’
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