High-gain interval observer for continuous-discrete-time systems using an LMI design approach

In this paper, a high-gain interval observer (HGIO) for a class of partially linear continuous-time systems with sampled measured outputs in the presence of bounded noise and additive disturbances is proposed. The design of the HGIO is formulated in the Linear Matrix Inequality (LMI) framework. The gain of the HGIO is designed to satisfy the cooperative property using a time-varying change of coordinates based on pole placement in separate LMI regions. Moreover, a procedure for designing the HGIO gain to minimise the effect of the noise and disturbance in the estimation is provided. The stability of the proposed HGIO is also guaranteed. The proposed approach is assessed in simulation using a numerical example.

Automated summary

In this paper, a high-gain interval observer (HGIO) is proposed to handle partially linear continuous-time systems with sampled measured outputs in the presence of bounded noise and additive disturbances. The gain of the HGIO is designed using the Linear Matrix Inequality (LMI) framework and a time-varying change of coordinates. A procedure for designing the HGIO gain to minimize the effect of noise and disturbances is provided. Simulation results validate the effectiveness of the proposed approach.