Abstract
In this paper, the shaping tracking problem based on output probability density functions (PDFs) is studied for a class of discrete-time non-Gaussian stochastic processes. Following B-spline approximation for the output PDFs, the discrete-time PI control input is constructed to solve the tracking control problem for complex nonlinear weight dynamics with multiple unknown uncertainties and state delays. Moreover, by designing the new convex linear matrix inequalities (LMIs) based on delay-dependent, the satisfactory delay-dependent stability, robustness, dynamic tracking performance as well as state constraint can be achieved simultaneously. Finally, a simulation example is presented to illustrate the effectiveness of the proposed approach.
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Acknowledgments
This paper is supported by the National Nature Science Foundation of China under Grants (60904030, 61174046, 61203195), China PostdoctoralScience Foundation under Grants (201000470067, 201104541), and a research grant from the Australian Research Council.
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An, Y., Yi, Y., Zheng, W., Zhang, T. (2013). Delay-Dependent Robust Control for Output PDFs of Discrete-Time Non-Gaussian Stochastic Processes. In: Sun, Z., Deng, Z. (eds) Proceedings of 2013 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38524-7_84
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DOI: https://doi.org/10.1007/978-3-642-38524-7_84
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