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

From this chapter, we try to use VES as a general stability analysis tool for various model based control systems, such as weighted multiple model adaptive control (WMMAC), T-S model based fuzzy control. In this chapter, a stable WMMAC control scheme for uncertain linear, discrete-time stochastic plant is presented. First, a new weighting algorithm is proposed with convergence analysis, i.e., one weight (corresponding to the true model or the closest model to the plant) converges to 1, and other weights converge to 0. Second, based on VES concept and methodology, the stability of the proposed WMMAC system is proved under a unified framework which is independent of specific weighting algorithm and specific ‘local’ control strategy. Finally, some simulation results are presented to verify the effectiveness of the theoretical analysis results of the proposed WMMAC scheme.

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