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    A structural solution to the monotonic tracking control problem

    Access Status
    Fulltext not available
    Authors
    Ntogramatzidis, Lorenzo
    Tregouet, J.
    Schmid, R.
    Ferrante, A.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Ntogramatzidis, L. and Tregouet, J. and Schmid, R. and Ferrante, A. 2014. A structural solution to the monotonic tracking control problem. Optimization and Control. -.
    Source Title
    Optimization and Control
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/57933
    Collection
    • Curtin Research Publications
    Abstract

    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. Necessary and sufficient constructive conditions are given to deliver a monotonic step response from all initial conditions. This method is developed for multi-input multi-output (MIMO) systems, and can be applied to square and non-square systems, strictly proper and non-strictly proper systems, and, importantly, also minimum and non-minimum phase systems. The framework proposed here 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.

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