A novel adaptive switched estimator for faulty switched systems with Lipschitz structure
摘要
In this research, a novel adaptive switched estimator is developed for faulty switched dynamics characterized by a Lipschitz form. The approach starts by establishing an upper bound for the derivatives of the faults, which is essential for maintaining stability and reliability in the estimation process. The estimator utilizes persistent dwell time, effectively addressing the challenges posed by iterative derivatives often found in adaptive estimators. This design choice not only alleviates these issues but also ensures the system remains uniformly ultimately bounded, even in the presence of faults. A key advantage of this estimator is its capability to eliminate coupling effects commonly seen in virtual dynamics, enhancing the accuracy of the estimation. Additionally, by defining suitable gains, establishing reasonable assumptions, and utilizing mathematical lemmas, an effort is made to transform the estimator design problem in the presence of fault terms and nonlinear terms into a linear matrix inequality feasibility problem. This formulation allows for the efficient extraction of estimator gains through convexity properties. To demonstrate the practical applicability of the proposed estimator, we perform simulations on an application system where the designed estimator is implemented. The simulation results validate the expected performance, showcasing the effectiveness and resilience of the proposed strategy in real-world scenarios.