|Optimal LQ Tracking Control for Continuous-time Systems with Pointwise Time-varying Input Delay
Chunyan Han* and WeiWang
International Journal of Control, Automation, and Systems, vol. 15, no. 5, pp.2243-2252, 2017
Abstract : "This paper investigates the linear quadratic (LQ) tracking problem for linear continuous-time systems
with pointwise time-varying input delays. It is assumed that the time-varying input delay takes only one value
from a finite set at a given time instant. By defining an indicator, the investigated LQ tracking problem is firstly
transformed into a special optimal control problem for continuous-time systems with multiple delays in a single
input channel. Then the duality between the LQ tracking for the system with multiple input delay and the smoothing
for an associated backward delay free system is established. Finally, an explicit analytical solution to the proposed
LQ tracking problem is presented by solving the smoothing problem."
Continuous-time system, duality principle, linear quadratic tracking control, time-varying input delay.