A tutorial on the globally monotonic tracking control problem with geometric techniques

In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any initial condition. This framework shows that for MIMO LTI systems the objectives of achieving a rapid se...

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Bibliographic Details
Main Authors: Ntogramatzidis, Lorenzo, Tregouet, J., Schmid, R., Ferrante, A.
Format: Conference Paper
Published: 2016
Online Access:http://hdl.handle.net/20.500.11937/52055
Description
Summary:In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any initial condition. This framework shows that for MIMO LTI systems the objectives of achieving a rapid settling time, while at the same time avoiding overshoot and/or undershoot, are not necessarily competing objectives.