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Lqr control of shell vibrations via piezoceramic actuators
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Smith, R. C. delRosario, R. C. H. |
| Copyright Year | 1997 |
| Description | A model-based Linear Quadratic Regulator (LQR) method for controlling vibrations in cylindrical shells is presented. Surface-mounted piezo-ceramic patches are employed as actuators which leads to unbounded control input operators. Modified Donnell-Mushtari shell equations incorporating strong or Kelvin-Voigt damping are used to model the system. The model is then abstractly formulated in terms of sesquilinear forms. This provides a framework amenable for proving model well-posedness and convergence of LQR gains using analytic semigroup results combined with LQR theory for unbounded input operators. Finally, numerical examples demonstrating the effectiveness of the method are presented. |
| File Size | 960251 |
| Page Count | 24 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19970016361 |
| Archival Resource Key | ark:/13960/t89h0kp5c |
| Language | English |
| Publisher Date | 1997-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Actuators Control Systems Design Feedback Control Piezoelectric Ceramics Cauchy Problem Convergence Cylindrical Shells Vibration Damping Donnell Equations Galerkin Method Polynomials Matrices Mathematics Linear Quadratic Regulator Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |