Robust and Optimal Output-Feedback Control for Interval State-Space Model: Application to a Two-Degrees-of-Freedom Piezoelectric Tube Actuator
| Autor: | Philippe Lutz, Micky Rakotondrabe, Mounir Hammouche |
|---|---|
| Přispěvatelé: | Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174) (FEMTO-ST), Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2018 |
| Předmět: |
Output feedback
0209 industrial biotechnology State-space representation Computer science Mechanical Engineering [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS] Control (management) Particle swarm optimization 020206 networking & telecommunications 02 engineering and technology Interval (mathematics) [SPI.AUTO]Engineering Sciences [physics]/Automatic Computer Science Applications Two degrees of freedom 020901 industrial engineering & automation Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering Actuator Instrumentation Eigenvalues and eigenvectors Information Systems |
| Zdroj: | Journal of Dynamic Systems, Measurement, and Control Journal of Dynamic Systems, Measurement, and Control, American Society of Mechanical Engineers, 2018, 141 (2), pp.021008 |
| ISSN: | 1528-9028 0022-0434 |
| DOI: | 10.1115/1.4040977 |
| Popis: | The problem of robust and optimal output feedback design for interval state-space systems is addressed in this paper. Indeed, an algorithm based on set inversion via interval analysis (SIVIA) combined with interval eigenvalues computation and eigenvalues clustering techniques is proposed to seek for a set of robust gains. This recursive SIVIA-based algorithm allows to approximate with subpaving the set solutions [K] that satisfy the inclusion of the eigenvalues of the closed-loop system in a desired region in the complex plane. Moreover, the LQ tracker design is employed to find from the set solutions [K] the optimal solution that minimizes the inputs/outputs energy and ensures the best behaviors of the closed-loop system. Finally, the effectiveness of the algorithm is illustrated by a real experimentation on a piezoelectric tube actuator. |
| Databáze: | OpenAIRE |
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