DESIGN OF AN OPTIMAL PREVIEW CONTROLLER FOR CONTINUOUS-TIME SYSTEMS

Author:

LIAO FUCHENG1,TANG YUAN YAN23,LIU HEPING4,WANG YUNJIAN5

Affiliation:

1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China

2. College of Computer Science, Chongqing University, Chongqing 400044, P. R. China

3. Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Macau, P. R. China

4. School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China

5. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454003, P. R. China

Abstract

This paper studies the preview control problem for continuous-time control systems. A design method for an optimal preview controller is presented, when the desired tracking and disturbance are piecewise-continuously differentiable functions. Applying the same techniques as for optimal control in linear quadratic optimal control, we derive a type-one servomechanism with both desired tracking preview and disturbance preview compensation. A proof is presented that if the original system is stabilizable and detectable, the closed-loop system is asymptotically stable. We also design a full-dimensional state observer for the considered system. Finally, numerical simulations show the efficiency of the controller.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

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