Low order solutions to the perfect regulation problem with bounded peaking

Abstract

High gain control is an intrinsic aspect of high performance systems. The perfect regulation problem with bounded peaking refers to regulating a system arbitrarily fast, while maintaining boundedness at the output. In this thesis, we construct a family of controllers of low dynamic order parameterized by a gain parameter which solves this problem for multivariable, linear time-invariant systems which are invertible and minimum phase. In particular we obtain a lower bound on the order of the controller which is only a function of a structural property of the system known as the orders of infinite zeros.A further development shows how, under certain conditions, the techniques developed can be used to design decentralized controllers which also solve the perfect regulation problem with bounded peaking.ii To my parents.iii