Adaptive Nussbaum Design for Nonlinear Dynamical Systems

Beschreibung

This book focuses on the challenges of stability analysis and control synthesis for complex nonlinear dynamical systems, including stochastic systems, multi-agent systems, and nonholonomic motion planning.  With Nussbaum design,  it introduces readers to the asymptotic stability problem for nonlinear systems, addressing practical constraints such as physical limitations on system states to ensure robustness. Furthermore, It presents readers with fixed-time stability for enhancing dynamic performance, with strategies that compensate for modeling inaccuracies and external disturbances. Then, the results are extended to multi-agent coordination, including consensus and bipartite consensus, and advanced feedback designs for nonholonomic systems to overcome motion constraints and ensure stability. Given its scope, the book offers an essential reference guide for researchers and engineers working on advanced nonlinear system control, as well as a valuable resource for upper-level undergraduate and graduate students.

This book focuses on the challenges of stability analysis and control synthesis for nonlinear dynamical systems, including stochastic systems, multi-agent systems, and nonholonomic systmes. With the adaptive Nussbaum design, this book investigates the asymptotic stabilization problem for nonlinear systems, addressing practical constraints such as physical limitations on system states to ensure safety. Furthermore, this book develops fixed-time stable design to enhance the dynamic performance, with strategies compensating for modeling inaccuracies and external disturbances. In addition, the adaptive Nussbaum design is extended to distributed bipartite consensus design for multi-agent systems and resilient feedback design for nonholonomic systems subject to false data injection. Given the scope, the book offers an essential reference guide for researchers and engineers working on advanced nonlinear system control, as well as a valuable resource for upper-level undergraduate and graduate students.

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Yongliang Yang

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Adaptive Nussbaum Design Multiple Unknown Control Directions Asymptotic Stability Fixed-Time Stability Nonholonomic Systems Multi-Agent Systems

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