Abstract
In this paper, the optimal preview tracking control problem for a class of linear discrete-time periodic systems is investigated and the method to design the optimal preview controller for such systems is given. Initially, by fully considering the characteristic that the coefficient matrices are periodic functions, the system can be converted into a time-invariant system through lifting method. Then, the original problem is also transformed into the scenario of time-invariant system. Later on, the augmented system is constructed and the preview controller of the original system is obtained with the help of existing preview control method. The controller comprises integrator, state feedback, and preview feedforward. Finally, the simulation example shows the effectiveness of the proposed preview controller in improving the tracking performance of the close-loop system.
Highlights
The basic problem of the preview control is how to utilize the future values of the reference signal or disturbance signal to improve the control performance of the system [1, 2]
The preview control theory has been extensively considered in many fields, such as singular systems [3, 4], time delay systems [5], stochastic systems [6, 7], and multi-agent systems [8]
Reference [10] applied the preview control to the suspension system of the vehicle model, and the proposed design method of preview controller enhanced the performance of active suspension control system
Summary
The basic problem of the preview control is how to utilize the future values of the reference signal or disturbance signal to improve the control performance of the system [1, 2]. In reference [9], the problem of multi-model adaptive preview control for discrete-time systems with large uncertainties was discussed. Reference [10] applied the preview control to the suspension system of the vehicle model, and the proposed design method of preview controller enhanced the performance of active suspension control system. Reference [11] studied the applications of preview control in the UAV landing control system, in which the preview control theory was used to design path optimization scheme to improve the mobility and rapid-reaction capability. Preview control has great potential for application in high-tech fields, such as aerocraft, electronic power system, and cruise missile [13]
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