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Performance Limits Analysis of Nonlinear Model Predictive Control Systems

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Abstract

This note provides a method to estimate the infinite-time performance of nonlinear model predictive control schemes. Based on principle of optimality, the upper and lower bounds of the ratio between the costs of model predictive control and finite-horizon optimal control are obtained.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (61233004, 61221003, 61374109, 61304078), the National Basic Research Program of China (973 Program-2013CB035500).

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Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    X. Cai, S. Y. Li & N. Li

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  1. X. Cai
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  2. S. Y. Li
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  3. N. Li
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Correspondence to S. Y. Li.

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Communicated by Lars Grüne.

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Cai, X., Li, S.Y. & Li, N. Performance Limits Analysis of Nonlinear Model Predictive Control Systems. J Optim Theory Appl 168, 53–62 (2016). https://doi.org/10.1007/s10957-015-0752-6

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  • DOI: https://doi.org/10.1007/s10957-015-0752-6

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