An optimal filter based MPC for systems with arbitrary disturbances |
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Authors: | Haokun Wang Zuhua Xu Jun Zhao Aipeng Jiang |
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Affiliation: | 1.School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China;2.National Laboratory of Industrial Control Technology, Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China |
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Abstract: | In this study, a linear model predictive control (MPC) approach with optimal filters is proposed for handling unmeasured disturbances with arbitrary statistics. Two types of optimal filters are introduced into the framework of MPC to relax the assumption of integrated white noise model in existing approaches. The introduced filters are globally optimal for linear systems with unmeasured disturbances that have unknown statistics. This enables the proposed MPC to better handle disturbances without access to disturbance statistics. As a result, the effort required for disturbance modeling can be alleviated. The proposed MPC can achieve offset-free control in the presence of asymptotically constant unmeasured disturbances. Simulation results demonstrate that the proposed approach can provide an improved disturbance õrejection performance over conventional approaches when applied to the control of systems with unmeasured disturbances that have arbitrary statistics. |
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Keywords: | Model predictive control Optimal filter Disturbance modeling Disturbance statistics Unmeasured disturbances |
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