Abstract
A robust synthesis algorithm is proposed for a class of uncertain linear parameter varying (LPV) systems. The uncertain system is described as an interconnection of a nominal (not-uncertain) LPV system and an uncertainty whose input/output behavior is described by an integral quadratic constraint (IQC). The proposed algorithm is a coordinate-wise ascent that is similar to the well-known DK iteration for μ-synthesis. In the first step, a nominal controller is designed for the LPV system without uncertainties. In the second step, the robustness of the designed controller is evaluated and a new scaled plant for the next synthesis step is created. The robust performance condition used in the analysis step is formulated as a dissipation inequality that incorporates the IQC and generalizes the Bounded Real Lemma like condition for performance of nominal LPV systems. Both steps can be formulated as a semidefinite program (SDP) and efficiently solved using available optimization software. The effectiveness of the proposed method is demonstrated on a simple numerical example.
Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 4789-4794 |
Number of pages | 6 |
Volume | 2015-February |
Edition | February |
DOIs | |
State | Published - Feb 11 2015 |
Event | 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: Dec 15 2014 → Dec 17 2014 |
Other
Other | 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 |
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Country/Territory | United States |
City | Los Angeles |
Period | 12/15/14 → 12/17/14 |