2 research outputs found
Controller Design for Robust Output Regulation of Regular Linear Systems
We present three dynamic error feedback controllers for robust output
regulation of regular linear systems. These controllers are (i) a minimal order
robust controller for exponentially stable systems (ii) an observer-based
robust controller and (iii) a new internal model based robust controller
structure. In addition, we present two controllers that are by construction
robust with respect to predefined classes of perturbations. The results are
illustrated with an example where we study robust output tracking of a
sinusoidal reference signal for a two-dimensional heat equation with boundary
control and observation.Comment: 26 pages, 2 figures, to appear in IEEE Transactions on Automatic
Contro
Robust Controllers for Regular Linear Systems with Infinite-Dimensional Exosystems
We construct two error feedback controllers for robust output tracking and
disturbance rejection of a regular linear system with nonsmooth reference and
disturbance signals. We show that for sufficiently smooth signals the output
converges to the reference at a rate that depends on the behaviour of the
transfer function of the plant on the imaginary axis. In addition, we construct
a controller that can be designed to achieve robustness with respect to a given
class of uncertainties in the system, and present a novel controller structure
for output tracking and disturbance rejection without the robustness
requirement. We also generalize the internal model principle for regular linear
systems with boundary disturbance and for controllers with unbounded input and
output operators. The construction of controllers is illustrated with an
example where we consider output tracking of a nonsmooth periodic reference
signal for a two-dimensional heat equation with boundary control and
observation, and with periodic disturbances on the boundary.Comment: 30 pages, 3 figures, to appear in SIAM Journal on Control &
Optimizatio