A new approach to observer design for a class of switched nonlinear systems

作者：Xiang, Zheng-Rong^*; Xiang, Wei-Ming

来源：Systems Engineering and Electronics, 2009, 31(2): 416-419.

• Lipschitz nonlinearities
• Matrix inequality
• Matrix transformation
• Observer
• Simulation example
• Switched non-linear systems
• Switched system
• Switching sequence

To design state observer for the switched systems with Lipschitz nonlinearity and time-dependent switching law, the dwell time approach is adopted. The switched system under consideration is composed of both observable and unobservable subsystems. By constructing appropriate Lyapunov functions and using matrix inequality techniques, some conditions of the convergence of the estimated state error for the state observer are obtained, and the design procedure of the observer is presented. Furthermore, by matrix transformation techniques, the solution to the corresponding observer gain is formulated in the form of a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to demonstrate the effectiveness of the proposed approach.

• 出版日期2009-2
• 单位南京大学; 西南大学