H2 control of Markovian jump LPV systems with measurement noises: Application to a DC-motor device with voltage fluctuations

This paper concerns the stabilization problem of Markovian jump LPV systems with incomplete transition descriptions and measurement noises. The attention of this paper is focused on two aspects: (1) proposing a quadratic combination method of totally incorporating the transition rate constraints into the H2 stabilization condition, and (2) developing a nonlinear control strategy of clearly eliminating the influence of measurement disturbances in the control process. Continuing this, the derived stabilization condition is applied to the speed control of DC-motor devices with voltage fluctuations, where the features of fluctuating voltage are modeled in both stochastic and deterministic senses.