Pareto optimal feedforward constrained regulation of MIMO linear systems
Abstract
In this paper we present a methodology for the feedforwardminimum-time regulation of Multiple-Input-Multiple-Output (MIMO)square linear systems. The aim is to synthesize bounded smooth inputfunctions, subject to non-saturating constraints on the inputs andtheir derivatives until an arbitrary predefined order, in order toprovide given transitions of the outputs. The posed problem yieldsto the construction of a Pareto set of output transition times,which is determined by employing an ad hoc parametrized family ofoutput transition functions and a suitably devised input-outputinversion procedure. Illustrative examples are given in order toshow the effectiveness of the methodology.
