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A new sliding mode observer for systems with continuous-time models and discrete-time measurements

This work is to propose a new sliding mode observer (SMO) for systems described by continuous-time models but subject to discrete-time measurements. One of the important features of the SMOs is their robustness to disturbances and/or uncertainties in applications to control systems such that they are very important tools for robust system state estimation. For convenience of stability analysis, the measured output at a time instant is converted to a time-delayed output together with integral and derivative techniques such that the stability and of the new SMO could be handled using the Lyapunov method. Detailed design of the SMO is provided and the stability of the suggested SMO is also discussed. A battery cell with discrete-time measurements is employed to verify the effectiveness of the proposed SMO on system state estimation.