Abstract
A novel preview control scheme is developed for the trajectory tracking problem of continuous-time Lur’e-type nonlinear systems. With the aid of the translation approach, the state augmentation technique along with some special mathematical manipulations, an augmented error system including preview information is constructed. The tracking control problem is thereby reduced to a standard H_{infty } controller design problem. Meanwhile, the integrator is introduced to eliminate the steady-state tracking error. The controller design condition is established in terms of a linear matrix inequality (LMI). As for the original system, the tracking controller is a state feedback controller with tracking error integral plus preview action. Finally, an example is given to illustrate the tracking performance of the proposed method.
Highlights
Preview control is an important control method, which is capable of effectively improving the tracking performance of the closed-loop system by means of the available future information about the reference signal and/or the disturbance [1, 2]
Preview control is widely used in trajectory tracking problem of control systems
For the deterministic and stochastic linear time-invariant systems in both continuous-time and discrete-time domain, the classical Riccati equation approach was extensively applied to optimal preview controller design based on linear quadratic optimal control theory [6,7,8,9,10,11,12,13]
Summary
Preview control is an important control method, which is capable of effectively improving the tracking performance of the closed-loop system by means of the available future information about the reference signal and/or the disturbance [1, 2]. Compared to the discrete-time counterpart, the preview controller design for continuous-time nonlinear Lur’e-type systems is more challenging This is mainly because the previewable reference information cannot be efficiently imported into the usual error system through state augmentation. The required augmented error system including integral action and preview information is successfully constructed, which transforms the original trajectory tracking control problem into an H∞ controller design problem This handling procedure provides a new control scheme for trajectory tracking problem of continuous-time nonlinear Lur’e-type systems, thereby effectively expanding the applicable scope of preview control technique.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
