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The design of predictive control with characterized set of initial condition for constrained switched nonlinear system

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Abstract

Stabilization of the constrained switched nonlinear systems is an attractive research subject. Predictive control can handle variable constraints well and make the system stable. Its stability is typically based on an assumption of initial feasibility of the optimization problem; however the set of initial conditions, starting from where a given predictive formulation is guaranteed to be feasible, is not explicitly characterized. In this paper, a hybrid predictive control method is proposed for a class of switched nonlinear systems with input constraints and un-measurable states. The main idea is to design a mixed controller using Lyapunov functions and a state observer, which switches appropriately between a bounded feedback controller and a predictive controller, and to give an explicitly characterized set of initial conditions to stabilize each closed-loop subsystem. For the whole switched nonlinear system, a suitable switched law based on the state estimation is designed to orchestrate the transitions between the consistituent modes and their respective controllers, and to ensure the whole closed-loop system’s stability. The simulation results for a chemical process show the validity of the controller proposed in this paper.

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Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, China

    BaiLi Su & ShaoYuan Li

  2. Qufu Normal University, Qufu, 276826, China

    BaiLi Su

  3. Faculty of CEMS, University of the West of England, Coldharbour Lane, Bristol, BS16 1QY, UK

    QuanMin Zhu

Authors
  1. BaiLi Su
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  2. ShaoYuan Li
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  3. QuanMin Zhu
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Corresponding author

Correspondence to ShaoYuan Li.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 60534020, 60774015) and the National Hi-Tech Research and Development Program of China (“863” Project)(Grant No. 2006AA04Z173)

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Su, B., Li, S. & Zhu, Q. The design of predictive control with characterized set of initial condition for constrained switched nonlinear system. Sci. China Ser. E-Technol. Sci. 52, 456–466 (2009). https://doi.org/10.1007/s11431-008-0249-8

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  • DOI: https://doi.org/10.1007/s11431-008-0249-8

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