This paper presents an algorithm for synchronizing two different chaotic systems by using a combination of Unscented Kalman–Bucy Filter (UKBF) and sliding mode controller. It is assumed that the drive chaotic system is perturbed by white noise and shows stochastic chaotic behavior. In addition...

This paper presents fuzzy model-based design for control and synchronization of chaotic systems. In this framework, the chaotic systems are exactly reproduced based on a Takagi–Sugeno (T–S) fuzzy model. Then the fuzzy controllers for control and synchronization are designed using the...

The main purpose of this paper is to state some sufficient conditions for global synchronization of chaotic maps. The synchronization is viewed as a state reconstruction problem which is tackled by polytopic observers. Unlike most standard observers, polytopic observers can account for a special...

This paper addresses the problem of chaos synchronization from a control theoretic point of view. The main idea is to construct an augmented dynamical system from the synchronization error system, which is itself uncertain. A new dynamic output feedback is applied to perform synchronization in...

New control concepts of the natural absolute trackability, absolute stablewise elementwise tracking and natural absolute tracking control are introduced for MIMO systems with multiple unknown controller Lurie nonlinearities, unknown linear part and unknown external disturbances. The concepts are...

The paper deals with the robustness of fuzzy control. The complementary sensitivity function which in the case of the cancellation control corresponds to the desired closed-loop transfer function must be shaped in order to fulfil the basic equation of robust stability. With classical robust...

This paper describes new software called NLSoft, developed for the design of nonlinear controllers based on the well-known feedback linearization technique. NLSoft is a software package containing several symbolic manipulation modules, which includes differential geometric tools for the design...

This paper proposes a new nonlinear control of three-phase three-level neutral point clamped (NPC) boost rectifier operating under severe disturbances. The nonlinear control strategy is employed to take into account the essential nonlinearities of the system and it totally differ from the common...

A general definition of synchronization is given, capturing features of both self-synchronized systems and systems synchronized by means of external control. The definition is exemplified by a number of special cases, including frequency or Hugenii synchronization. A new solution to the...

A neural network-based robust adaptive control design scheme is developed for a class of nonlinear systems represented by input–output models with an unknown nonlinear function and unmodeled dynamics. By on-line approximating the unknown nonlinear functions and unmodeled dynamics by radial...