Degenerate linear-quadratic problems for continuous-time control systems

2017 ◽  
Author(s):  
Alexander Bunich
Keyword(s):  
Control Systems ◽  
Continuous Time ◽  
Linear Quadratic ◽  
Time Control ◽  
Degenerate Linear

scholarly journals STATIC LINEAR ANTI-WINDUP DESIGN FOR STRICTLY PROPER CONTINUOUS TIME CONTROL SYSTEMS WITH MAGNITUDE AND RATE SATURATION 1

2006 ◽  
Vol 39 (9) ◽  
pp. 465-470
Author(s):  
Sergio Galeani ◽  
Simona Onori ◽  
Andrew R. Teel ◽  
Luca Zaccarian
Keyword(s):  
Control Systems ◽  
Continuous Time ◽  
Time Control

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.

scholarly journals Analysis of Real-Time Control Systems using First-Order Continuization

10.29007/8nq6 ◽  
2020 ◽  
Author(s):  
Maximilian Gaukler
Keyword(s):  
Control Systems ◽  
Real Time ◽  
Continuous Time ◽  
Real Time Control ◽  
Control Loops ◽  
Time Dynamics ◽  
First Order ◽  
Time Control ◽  
Formal Framework ◽  
Continuous Time System

Experience Report: Real-Time control systems can be difficult to analyze due to the mixture of discrete-time and continuous-time dynamics. This difficulty is particularly pronounced if the timing is non-periodic, e.g., due to network or execution effects. Still, most control loops behave similar to a purely continuous-time system disturbed by a small discretization error, which is exploited by Bak and Johnson (2015) in the method of Continuization. This paper uncovers limitations of that work and presents an extension, First-Order Continuization, based on a new formal framework that recovers previous results and eases future development.

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