Mm. Seron et al., CONTROL-SYSTEM DESIGN ISSUES FOR UNSTABLE LINEAR-SYSTEMS WITH SATURATED INPUTS, IEE proceedings. Control theory and applications, 142(4), 1995, pp. 335-344
The paper studies stable setpoint tracking for linear open-loop unstab
le systems with saturated control input. A linear reference filter is
introduced that allows the independent design of the prestabilising an
d setpoint tracking controllers in an internal model control configura
tion. A nonlinear reference conditioning filter is also proposed that
avoids saturation in the main control loop, which remains stable there
after. Rules of thumb giving bounds on amplitude and frequency for sin
usoidal references are given that ensure stable saturated operation of
the nonlinear reference filter.