Abstract
We consider the problems of state feedback and static output feedback preview controller (PC) for uncertain discrete-time multiple-input multiple output (MIMO) systems based on the parameter-dependent Lyapunov function and the linear matrix inequality (LMI) technique in this paper. First, for each component of a reference signal, an augmented error system (AES) containing previewed information is constructed via the difference operator and state augmentation technique. Then, for the AES, the state feedback and static output feedback are introduced, and when considering the output feedback, a previewable reference signal is utilized by modifying the output equation. The preview controllers’ parameter matrices can be achieved from the solution of LMI problems. The superiority of the PC is illustrated via two numerical examples.
Highlights
In the field of control, there are many effective control methods, for example, optimal control [1], learning control [2], tracking control [3], and repetitive control [4] and so on
The preview control was first proposed by Sheridan in 1966 [7], and Bender [8] applied preview control theory to a vehicle suspension system
The main contributions of our preview control scheme are summarized as follows: (i) The augmented error system (AES) of a multiple-input multiple output (MIMO) uncertain discrete-time system is successfully constructed from a new perspective
Summary
In the field of control, there are many effective control methods, for example, optimal control [1], learning control [2], tracking control [3], and repetitive control [4] and so on. The presence of an unknown disturbance or uncertain system model can cause degraded performance or even loss of closed-loop stability To deal with this problem, robust preview control has received considerable attention [21,22,23,24,25,26,27]. The main contributions of our preview control scheme are summarized as follows: (i) The AES of a MIMO uncertain discrete-time system is successfully constructed from a new perspective. It constructs a lower-dimensional error system, but it provides optional preview lengths. (ii) Our desired PC design method can avoid the negative influence of reference signal components on each other, and effectively improve the tracking performance.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
