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- W4384028534 abstract "Several control problems can be written in a general form known as a bilinear matrix inequality (BMI). Many BMI solution methods have been proposed. In this paper, a quality diversity optimization method (QDOM) based on the adaptive bound-searching algorithm and the diversity-selecting immune algorithm is proposed for solving BMI problems in control system design. By using the proposed adaptive bound-searching algorithm, appropriate bound values can be obtained for the entries of controller gain matrices or the eigenvalues of closed-loop systems represented by a state space model. On the basis of the bound values obtained by the aforementioned algorithm, the proposed diversity-selecting immune algorithm can find suitable decision variables for solving the BMI problem. To find the global optimum efficiently and avoid becoming trapped in a local optimum, the concept of quality diversity is employed in the proposed method. The proposed method was validated by employing it to solve some spectral abscissa optimization, <italic xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> optimization, and <italic xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> optimization problems. The simulation results indicated that the proposed QDOM outperforms or achieves equivalent performance to most BMI solution methods." @default.
- W4384028534 created "2023-07-13" @default.
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- W4384028534 date "2023-01-01" @default.
- W4384028534 modified "2023-10-05" @default.
- W4384028534 title "Quality Diversity Optimization Method for Bilinear Matrix Inequality Problems in Control System Design" @default.
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- W4384028534 doi "https://doi.org/10.1109/access.2023.3294559" @default.
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