Towards a Global Controller Design for Guaranteed Synchronization of Switched Chaotic Systems
Provides a theoretical framework for guaranteed synchronization in switched chaotic systems, relevant to control theory researchers.
The paper addresses synchronization of identical switched chaotic systems by deriving sufficient conditions using Lyapunov theory and robust control, reformulating the controller design as linear matrix inequalities (LMIs) for numerical computation.
In this paper, synchronization of identical switched chaotic systems is explored based on Lyapunov theory of guaranteed stability. Concepts from robust control principles and switched linear systems are merged together to derive a sufficient condition for synchronization of identical master-slave switched nonlinear chaotic systems and are expressed in the form of bilinear matrix inequalities (BMIs). The nonlinear controller design problem is then recast in the form of linear matrix inequalities (LMIs) to facilitate numerical computation by standard LMI solvers and is illustrated by appropriate examples.