Adaptive Impulsive Observers for a Class of Switched Nonlinear Systems with Unknown Parameter. Issue 3 (23rd January 2017)

• Record Type: Journal Article
• Authors: Li, Jinghan; Ma, Ruicheng; Dimirovski, Georgi M.
• Is Part Of: Asian journal of control. Volume 19:Issue 3(2017)
• Page Start: 1153
• Page End: 1163
• Publication Date: 2017-01-23
• Subjects: Switched nonlinear systems -- adaptive impulsive observer -- unknown parameter -- multiple time‐varying Lyapunov functions; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1464
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This work investigates and solves the design of adaptive impulsive observers for a class of uncertain switched nonlinear systems with unknown parameter. Sufficient conditions are derived for designing such observers for each subsystem to reconstruct asymptotically and update system states in real time. The state observer is represented in terms of impulsive differential equations. The parameter estimation law is modelled by an impulse‐free, time‐varying differential equation associated with the impulse time sequence in order to determine when the observer estimated state is updated. The asymptotic convergence to zero of the observation errors is established by applying the method of multiple time‐varying Lyapunov functions. Sufficient conditions are derived that guarantee the convergence of parameter estimation. An example of switched Lorenz system along with numeric and simulation results is presented to demonstrate the effectiveness of the proposed method.