State and Parameter Estimation for a Class of Nonlinearly Parameterized Systems Using Sliding Mode Techniques

In this study, a class of nonlinear parameterized systems is considered where the unknown parameters are parameterized nonlinearly. A stability criteria for time-varying systems is developed based on Perron-Frobenius theorem, and used for designing observers. A particular sliding mode observer with an update law, which can ensure that the sliding motion converges to zero asymptotically, is designed to estimate states and unknown parameters. The developed result is applied to a three-phase inverter system used by China high-speed trains to verify the effectiveness.