A structural solution to the monotonic tracking control problem
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 ste...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/57933 |
| _version_ | 1848760135544995840 |
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| author | Ntogramatzidis, Lorenzo Tregouet, J. Schmid, R. Ferrante, A. |
| author_facet | Ntogramatzidis, Lorenzo Tregouet, J. Schmid, R. Ferrante, A. |
| author_sort | Ntogramatzidis, Lorenzo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T10:10:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-57933 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:10:58Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-579332017-11-20T08:49:38Z A structural solution to the monotonic tracking control problem Ntogramatzidis, Lorenzo Tregouet, J. Schmid, R. Ferrante, A. 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. 2014 Journal Article http://hdl.handle.net/20.500.11937/57933 restricted |
| spellingShingle | Ntogramatzidis, Lorenzo Tregouet, J. Schmid, R. Ferrante, A. A structural solution to the monotonic tracking control problem |
| title | A structural solution to the monotonic tracking control problem |
| title_full | A structural solution to the monotonic tracking control problem |
| title_fullStr | A structural solution to the monotonic tracking control problem |
| title_full_unstemmed | A structural solution to the monotonic tracking control problem |
| title_short | A structural solution to the monotonic tracking control problem |
| title_sort | structural solution to the monotonic tracking control problem |
| url | http://hdl.handle.net/20.500.11937/57933 |