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MIMO Controller Synthesis for LTI and LPV Systems Using Input-Output Models
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ali, Mukhtar Abbas, Hossam Seddik Werner, Herbert |
| Copyright Year | 2011 |
| Abstract | Abstract This paper considers the problem of designing MIMO fixed-structure controllers based on a polynomial framework for both Linear Time-Invariant (LTI) and Linear Parameter-Varying (LPV) systems having input-output models. For SISO systems, a polynomial method has been proposed recently to solve such problems, where the a priori selection of a central polynomial is carried out heuristically, and for LPV systems the synthesis problem is solved using a sum-of-squares relaxation approach. To reduce the complexity of the design procedure, we propose a combined gradient and LMI-based algorithm for optimizing the choice of the central polynomial matrix in terms of the closed-loop performance. Moreover, for LPV systems, the computational complexity of the sum-of-squares approach is reduced by introducing polytopic input-output LPV representations. Quadratic stability and performance is guaranteed in the admissible scheduling range. The proposed methods are illustrated with simulation examples. |
| Starting Page | 11338 |
| Ending Page | 11343 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.3182/20110828-6-IT-1002.02571 |
| Volume Number | 44 |
| Alternate Webpage(s) | https://folk.ntnu.no/skoge/prost/proceedings/ifac11-proceedings/data/html/papers/2571.pdf |
| Alternate Webpage(s) | https://doi.org/10.3182/20110828-6-IT-1002.02571 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
