L2‐gain analysis and anti‐windup design of switched linear systems subject to input saturation |
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Authors: | Xinquan Zhang |
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Affiliation: | School of Information and Control Engineering, Liaoning Shihua University, Fushun, China |
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Abstract: | The problem of L2‐gain analysis and anti‐windup compensation gains design is studied for a class of switched linear systems with actuator saturation via the multiple Lyapunov functions approach. When a set of anti‐windup compensation gains are given, a sufficient condition on tolerable disturbances is obtained, under which the state trajectory starting from the origin will remain inside a bounded set. Then over this set of tolerable disturbances, we obtain the upper bound of the restricted L2‐gain. Furthermore, the anti‐windup compensation gains and the switched law, which aim to determine the maximum disturbance tolerance capability and the minimum upper bound of the restricted L2‐gain, are presented by solving a convex optimization problem with linear matrix inequality (LMI) constraints. Finally we give a numerical example to demonstrate the effectiveness of the proposed method. |
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Keywords: | L2‐gain anti‐windup switched systems actuator saturation multiple Lyapunov functions tolerable disturbances |
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