Design for Generating Chaos from a Class of Switching Linear Systems
نویسنده
چکیده
In this paper, a systematic design approach based on event driven method is investigated for a class of switching systems, and the switching control system is able to generate chaos at will from linear systems under the designed switching rules. To gain this target, structures of a class of linear switching systems are analyzed properly, as a consequence of analysis, the corresponding criteria is obtained to judge the existence for this class of switching systems to generate chaos. Then, based on the analysis of structure, feedback controllers designing procedure of some non-autonomous switching systems is deduced step by step. Two numerical examples are given to illustrate the generated chaotic dynamic behavior of the systems, and the validity of main results is also verified by the simulations. Finally, a circuit is provided to show the potential applications of the approach in engineering.
منابع مشابه
A new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
متن کاملGenerating Discrete Trace Transition System of a Polyhe-dral Invariant Hybrid Automaton
Supervisory control and fault diagnosis of hybrid systems need to have complete information about the discrete states transitions of the underling system. From this point of view, the hybrid system should be abstracted to a Discrete Trace Transition System (DTTS) and represented by a discrete mode transition graph. In this paper an effective method is proposed for generating discrete mode trans...
متن کاملNew Optimal Observer Design Based on State Prediction for a Class of Non-linear Systems Through Approximation
This paper deals with the optimal state observer of non-linear systems based on a new strategy. Despite the development of state prediction in linear systems, state prediction for non-linear systems is still challenging. In this paper, to obtain a future estimation of the system states, initially Taylor series expansion of states in their receding horizons was achieved to any specified order an...
متن کاملRobust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملConservative chaotic flow generated via a pseudo-linear system
Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...
متن کامل