Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System
نویسندگان
چکیده
The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by fractional-order differential equation. First, as an example of such system, viscoelastically damped structure is selected. Second, LQR designed for in which terms are contained the equation motion. An iteration-based method solving algebraic Riccati proposed order obtain feedback gains LQR. Third, state observer constructed estimate states originating from derivative term. Fourth, numerical simulations presented using calculation corresponding Finally, simulation results demonstrate that can suppress vibrations occurring with viscoelastic damping.
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ژورنال
عنوان ژورنال: Applied sciences
سال: 2021
ISSN: ['2076-3417']
DOI: https://doi.org/10.3390/app11073252