Fault‐tolerant control synthesis for a class of nonlinear systems: Sum of squares optimization approach |
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Authors: | Hong‐Jun Ma Guang‐Hong Yang |
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Affiliation: | 1. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, China;2. Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeastern University, Shenyang, Liaoning 110004, China |
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Abstract: | This paper studies the fault‐tolerant control (FTC) problem for nonlinear systems, with guaranteed cost or H∞ performance objective in the presence of actuator faults. The faulty mode is built as a multi‐model framework of the typical aberration in actuator effectiveness. The novelty of this paper is that the effect of the nonlinear terms is described as an index in order to transform the FTC design problem into a semi‐definite programming. The proposed optimization approach is to find zero optimum for this index. Combined with other performance indexes, the conceived multi‐objective optimization problem is solved by using sum of squares method in a reliable and efficient manner. Numerical examples are included to verify the applicability of this new approach for the nonlinear FTC synthesis. Copyright © 2008 John Wiley & Sons, Ltd. |
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Keywords: | nonlinear control systems fault‐tolerant control H∞ performance semi‐definite programming sum of squares state feedback control |
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