A.S. Campbell and H.M. Schwartz
Stochastic control, discrete-time control systems, intelligent control, digital control
This work demonstrates the fusion of two concepts in switching systems, namely, hypothesis testing and multiple model adaptive control. A hypothesis test switching method is defined to detect parameter jumps in a stochastic environment and select new models. The control of discrete-time systems with rapidly time-varying parameters is simulated. Hypothesis test switching is compared to the most frequently researched performance index switching method. The proposed method is found to be unique because it achieves lower control error and operates without user adjustment or a priori knowledge of parameter behaviour and model placement. In addition, a modification to the way multiple models are arranged is proposed. Using the modified arrangement, performance increases are demonstrated, stability is proven more easily, previously required assumptions can be relaxed, and new switching methods can be applied.
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