Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements
Multi-Input Multi-Output (MIMO) Linear Time-Invariant (LTI) controllable and observable systems where the controller has access to some plant outputs but not others are considered. Analytical expressions of coprime factorizations of a given plant, a solution of the Diophantine equation and the two f...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2021
|
| Subjects: | |
| Online Access: | http://eprints.uanl.mx/27288/1/225.pdf |
| _version_ | 1824420703786500096 |
|---|---|
| author | Flores, Miguel A. Galindo, René |
| author_facet | Flores, Miguel A. Galindo, René |
| author_sort | Flores, Miguel A. |
| collection | Repositorio Institucional |
| description | Multi-Input Multi-Output (MIMO) Linear Time-Invariant (LTI) controllable and observable systems where the controller has access to some plant outputs but not others are considered. Analytical expressions of coprime factorizations of a given plant, a solution of the Diophantine equation and the two free parameters of a two-degrees of freedom (2DOF) controller based on observer stabilizing control are presented solving a pole placement problem, a mixed sensitivity criterion, and a reference tracking problem. These solutions are based on proposed stabilizing gains solving a pole placement problem by output feedback. The proposed gains simplify the coprime factorizations of the plant and the controller, and allow assigning a decoupled characteristic polynomial. The 2DOF stabilizing control is based on the Parameterization of All Stabilizing Controllers (PASC) where the free parameter in the feedback part of the controller
solves the mixed sensitivity robust control problem of attenuation of a Low-Frequency (LF) additive disturbance at the input of the plant and of a High-Frequency (HF) additive disturbance at the measurement, while the free parameter in the reference part of the controller assures that the controlled output tracks the reference at LF such as step or sinusoidal inputs. With the proposed expressions, the mixed sensitivity problem is solved without using weighting functions, so the controller does not increase its order; and the infinite norm of the mixed sensitivity criterion, as well as the assignment of poles, is determined by a set of control parameters |
| format | Article |
| id | eprints-27288 |
| institution | UANL |
| language | English |
| publishDate | 2021 |
| record_format | eprints |
| spelling | eprints-272882024-04-17T16:21:36Z http://eprints.uanl.mx/27288/ Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements Flores, Miguel A. Galindo, René QA Matemáticas, Ciencias computacionales Multi-Input Multi-Output (MIMO) Linear Time-Invariant (LTI) controllable and observable systems where the controller has access to some plant outputs but not others are considered. Analytical expressions of coprime factorizations of a given plant, a solution of the Diophantine equation and the two free parameters of a two-degrees of freedom (2DOF) controller based on observer stabilizing control are presented solving a pole placement problem, a mixed sensitivity criterion, and a reference tracking problem. These solutions are based on proposed stabilizing gains solving a pole placement problem by output feedback. The proposed gains simplify the coprime factorizations of the plant and the controller, and allow assigning a decoupled characteristic polynomial. The 2DOF stabilizing control is based on the Parameterization of All Stabilizing Controllers (PASC) where the free parameter in the feedback part of the controller solves the mixed sensitivity robust control problem of attenuation of a Low-Frequency (LF) additive disturbance at the input of the plant and of a High-Frequency (HF) additive disturbance at the measurement, while the free parameter in the reference part of the controller assures that the controlled output tracks the reference at LF such as step or sinusoidal inputs. With the proposed expressions, the mixed sensitivity problem is solved without using weighting functions, so the controller does not increase its order; and the infinite norm of the mixed sensitivity criterion, as well as the assignment of poles, is determined by a set of control parameters 2021 Article NonPeerReviewed text en cc_by_nc_nd http://eprints.uanl.mx/27288/1/225.pdf http://eprints.uanl.mx/27288/1.haspreviewThumbnailVersion/225.pdf Flores, Miguel A. y Galindo, René (2021) Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements. Kybernetika. pp. 193-219. ISSN 0023-5954 http://doi.org/10.14736/kyb-2021-2-0193 doi:10.14736/kyb-2021-2-0193 |
| spellingShingle | QA Matemáticas, Ciencias computacionales Flores, Miguel A. Galindo, René Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements |
| thumbnail | https://rediab.uanl.mx/themes/sandal5/images/online.png |
| title | Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements |
| title_full | Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements |
| title_fullStr | Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements |
| title_full_unstemmed | Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements |
| title_short | Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements |
| title_sort | pole placement and mixed sensitivity of lti mimo systems having controlled outputs different from measurements |
| topic | QA Matemáticas, Ciencias computacionales |
| url | http://eprints.uanl.mx/27288/1/225.pdf |
| work_keys_str_mv | AT floresmiguela poleplacementandmixedsensitivityofltimimosystemshavingcontrolledoutputsdifferentfrommeasurements AT galindorene poleplacementandmixedsensitivityofltimimosystemshavingcontrolledoutputsdifferentfrommeasurements |