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Further Results on Stable Weighted Multiple Model Adaptive Control of Discrete-Time Stochastic Plant

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Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems

Abstract

This chapter is intended to further improve the weighting algorithm and the transient performance of WMMAC of discrete-time stochastic plant. In order to relax the convergence conditions and to further improve the convergence rate of weighting algorithm proposed in Chap. 4, an improved weighting algorithm is proposed in this chapter. The stability and convergence of the corresponding WMMAC systems for two types of stochastic plants are proved according to VES concept and methodology. The first type of stochastic plant is linear time-invariant system with unknown parameters, the second is linear time-varying system with jumping parameters. Finally, some simulation results are presented to verify the effectiveness of theoretical results and the satisfactory performance of the closed-loop WMMAC system.

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Authors and Affiliations

  1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

    Weicun Zhang & Qing Li

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  1. Weicun Zhang
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  2. Qing Li
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Correspondence to Weicun Zhang .

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Zhang, W., Li, Q. (2021). Further Results on Stable Weighted Multiple Model Adaptive Control of Discrete-Time Stochastic Plant. In: Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems. Springer, Singapore. https://doi.org/10.1007/978-981-15-5538-1_5

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