Discrete minimax linear quadratic regulation of continuous-time systems

Automatica ◽  
1987 ◽  
Vol 23 (6) ◽  
pp. 741-747 ◽  
Author(s):  
K. Kadiman ◽  
D. Williamson
Keyword(s):  
Continuous Time ◽  
Linear Quadratic ◽  
Continuous Time Systems ◽  
Linear Quadratic Regulation ◽  
Time Systems

A generalised optimal linear quadratic tracker with universal applications – part 1: continuous-time systems

2016 ◽  
Vol 48 (2) ◽  
pp. 376-396 ◽  
Author(s):  
Faezeh Ebrahimzadeh ◽  
Jason Sheng-Hong Tsai ◽  
Ying Ting Liao ◽  
Min-Ching Chung ◽  
Shu-Mei Guo ◽  
...  
Keyword(s):  
Continuous Time ◽  
Linear Quadratic ◽  
Continuous Time Systems ◽  
Optimal Linear ◽  
Time Systems

DESIGN OF AN OPTIMAL PREVIEW CONTROLLER FOR CONTINUOUS-TIME SYSTEMS

2011 ◽  
Vol 09 (04) ◽  
pp. 655-673 ◽  
Author(s):  
FUCHENG LIAO ◽  
YUAN YAN TANG ◽  
HEPING LIU ◽  
YUNJIAN WANG
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Design Method ◽  
Original System ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Time Control ◽  
Differentiable Functions ◽  
Continuous Time Systems ◽  
Time Systems

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.

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