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Complete Sets of Basic Types of 2DoF Tracking Controllers with Finite Length Control Sequences

Authors:Pesek Pavel, University of West Bohemia, Czech Republic
Mosna Jiri, University of West Bohemia, Czech Republic
Melichar Jiri, University of West Bohemia, Czech Republic
Topic:2.1 Control Design
Session:Control of Systems with Constraints
Keywords: Finite length control, Dead-beat ripple-free tracking, Disturbance rejection, parametrization, optimization

Abstract

The paper deals with some specific feedback solutions to tracking problems for discrete linear SISO systems, characterized by a finite length control sequences (FLC) and by an infinite or a finite length error sequences. A complete set of all 2DoF FLC controllers for plants exposed to general disturbances (2DoF GFLC) is determined and it is shown that this set embeds the set of deadbeat ripple-free controllers (2DoF GDBRF), which moreover produce a finite length error sequences.