Using the output feedback linearization method, we consider the design of a servo
system for a single-link manipulator, which is elastically coupled to a gearbox shaft and
controlled by a sensorless DC motor. Unlike typical problem formulations, we assume significant
parametric uncertainty in the controlled plant model and the presence of external, unmatched
disturbances. The output (measured and controlled) variable is the angular position of the
manipulator, which, during control, tracks the reference trajectory. There is no analytical
description of the reference signal; only its current value is known. The design of a tracking
system is based on the equivalent canonical form of the “input – output” relationship with respect
to mixed variables, which are functions of state variables, external influences, and their
derivatives. A combined control law has been formalized that linearizes a closed-loop virtual
“input – output” system under conditions of an uncertain control multiplier. A reduced observer
with piecewise linear corrective actions in the form of nested saturators has been developed. The
observer is constructed on the basis of a canonical system with an uncertain input and, based on
the tracking error measurements, estimates mixed variables and generalized disturbances with a
given accuracy without dynamic generators of external influences and additional expansion of the
state space. It is shown that observer gain coefficients tuning can be performed using a reference
Hurwitz polynomial with a large stability margin. The actual gains will be many times smaller
than those of a typical observer with linear correction without saturation, which generates large
spikes in estimated signals and control action at the beginning of the transient process. Numerical
simulation results are presented, demonstrating the performance of the tracking system and the
advantages of the developed observer compared to a typical observer with linear correction
without saturation.