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Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs - application to chaos synchronization

Moysis Lazaros, Tripathi Meenakshi, Gupta Mahendra Kumar, Marwan Muhammad, Volos Christos

Archives of Control Sciences

2022

Vol. 32, No. 1

105--121

This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coefficient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.

Chaotic path planning for grid coverage using a modified logistic-may map

Petavratzis Eleftherios, Moysis Lazaros, Volos Christos, Nistazakis Hector, Muñoz-Pacheco Jesus Manuel, Stouboulos Ioannis

Journal of Automation Mobile Robotics and Intelligent Systems

2020

Vol. 14, No. 2

3--9

A simple and efficient method for creating a motion trajectory is presented with an aim to achieve sufficient coverage of a given terrain. A chaotic map has been used in order that the motion trajectory should be unpredictable. The chaotic path generator which has been created, is used for implementing a robot’s movement in four and eight directions. The path generator is tested in various scenarios and the results are discussed. After thorough examination, the proposed method shows that the motion in eight directions gives better and very satisfactory results.