Bumpless Transfer Control for A Class of Hybrid Stochastic Systems and Application to Electromagnetic Oscillation Circuit

This paper is concerned with the issue of bumpless transfer control for a class of hybrid stochastic systems with a stochastic switching rule. The switching rule is regarded as a hidden semi-Markov switching process by utilizing concepts of emission probability and semi-Markov kernel. In light of the mismatching of mode observation happening in the operating procedure of subsystem, comprehensive bumpless transfer constraints that not only work on the switching instants but also the sojourn process, are proposed. On the basis of the mean-square stability criteria and comprehensive bumpless transfer constraints, numerically testable conditions are established to obtain the stabilizing state-feedback controller with bumpless transfer performance by introducing some mathematical techniques. The theoretical results are testified by a switched RLC electromagnetic oscillation circuit to demonstrate the effectiveness of the designed control strategy.