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Efficient Model Order Reduction of Descriptor Systems Using Iterative Rational Krylov Algorithm
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class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 87407</div> </div> </div> </div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Efficient Model Order Reduction of Descriptor Systems Using Iterative Rational Krylov Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Anwar">Muhammad Anwar</a>, <a href="https://publications.waset.org/abstracts/search?q=Ameen%20Ullah"> Ameen Ullah</a>, <a href="https://publications.waset.org/abstracts/search?q=Intakhab%20Alam%20Qadri"> Intakhab Alam Qadri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study presents a technique utilizing the Iterative Rational Krylov Algorithm (IRKA) to reduce the order of large-scale descriptor systems. Descriptor systems, which incorporate differential and algebraic components, pose unique challenges in Model Order Reduction (MOR). The proposed method partitions the descriptor system into polynomial and strictly proper parts to minimize approximation errors, applying IRKA exclusively to the strictly adequate component. This approach circumvents the unbounded errors that arise when IRKA is directly applied to the entire system. A comparative analysis demonstrates the high accuracy of the reduced model and a significant reduction in computational burden. The reduced model enables more efficient simulations and streamlined controller designs. The study highlights IRKA-based MOR’s effectiveness in optimizing complex systems’ performance across various engineering applications. The proposed methodology offers a promising solution for reducing the complexity of large-scale descriptor systems while maintaining their essential characteristics and facilitating their analysis, simulation, and control design. <iframe src="https://publications.waset.org/abstracts/189198.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=model%20order%20reduction" title="model order reduction">model order reduction</a>, <a href="https://publications.waset.org/abstracts/search?q=descriptor%20systems" title=" descriptor systems"> descriptor systems</a>, <a href="https://publications.waset.org/abstracts/search?q=iterative%20rational%20Krylov%20algorithm" title=" iterative rational Krylov algorithm"> iterative rational Krylov algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=interpolatory%20model%20reduction" title=" interpolatory model reduction"> interpolatory model reduction</a>, <a href="https://publications.waset.org/abstracts/search?q=computational%20efficiency" title=" computational efficiency"> computational efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=projection%20methods" title=" projection methods"> projection methods</a>, <a href="https://publications.waset.org/abstracts/search?q=H%E2%82%82-optimal%20model%20reduction" title=" H₂-optimal model reduction"> H₂-optimal model reduction</a> </p> <a href="https://publications.waset.org/abstracts/189198/efficient-model-order-reduction-of-descriptor-systems-using-iterative-rational-krylov-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/189198.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">31</span> </span> </div> </div> </div> </main> <footer> <div 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