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Chaotic behavior and modified function projective synchronization of a simple system with one stable equilibrium

Zhouchao Wei, Zhen Wang (2013)

Kybernetika

By introducing a feedback control to a proposed Sprott E system, an extremely complex chaotic attractor with only one stable equilibrium is derived. The system evolves into periodic and chaotic behaviors by detailed numerical as well as theoretical analysis. Analysis results show that chaos also can be generated via a period-doubling bifurcation when the system has one and only one stable equilibrium. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived...

Control error dynamic modification as an efficient tool for reduction of effects introduced by actuator constraints

Krzysztof B. Janiszowski (2009)

International Journal of Applied Mathematics and Computer Science

A modification of digital controller algorithms, based on the introduction of a virtual reference value, which never exceeds active constraints in the actuator output is presented and investigated for some algorithms used in single-loop control systems. This idea, derived from virtual modification of a control error, can be used in digital control systems subjected to both magnitude and rate constraints. The modification is introduced in the form of on-line adaptation to the control task. Hence...

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