Generalized eigenvalue minimization for uncertain first-order plus time-delay processes |
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Authors: | Gongsheng Huang Keck Voon Ling Xiaoning Xu Yundan Liao |
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Affiliation: | 1. Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Road, Kowloon, Hong Kong;2. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore;3. Institute of Civil Engineering, Guangzhou University, No. 230 Outer Ring Road, Guanzhou, Guangdong Province, China |
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Abstract: | This paper shows how to apply generalized eigenvalue minimization to processes that can be described by a first-order plus time-delay model with uncertain gain, time constant and delay. An algorithm to transform the uncertain first-order plus time delay model into a state-space model with uncertainty polyhedron is firstly described. The accuracy of the transformation is studied using numerical examples. Then, the uncertainty polyhedron is rewritten as a linear-matrix-inequality constraint and generalized eigenvalue minimization is adopted to calculate a feedback control law. Case studies show that even if uncertainties associated with the first-order plus time delay model are significant, a stable feedback control law can be found. The proposed control is tested by comparing with a robust internal model control. It is also tested by applying it to the temperature control of air-handing units. |
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Keywords: | Generalized eigenvalue minimization First-order plus time-delay model Robust control Linear-matrix inequality Uncertainty |
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