
This monograph is driven by the ambition to thoroughly investigate and advance the field of discrete-time sliding mode design based on difference equations with minima for dynamical systems. The motivation behind this exploration lies in the recognition of limitations inherent in classical and conventional control techniques, prompting a quest for methodologies that can effectively address the evolving demands of modern applications. The overarching objective of this monograph is to introduce innovative approaches capable of enabling timely and precise control, even in the presence of uncertainties and exogenous perturbations. Through the development of sophisticated discrete control strategies designed to ensure finite-time convergence, this research aims to enhance the capabilities and operational efficiency of diverse engineering systems, thereby contributing to the ongoing evolution of control methodologies in response to contemporary challenges.
Inhaltsverzeichnis
A Journey from Classical Control towards Variable Structure Control. - Mathematical Preliminaries. - Continuous-Time Sliding Mode Control: Foundations and Transition to Digital Implementation. - A Difference Equation with Minima based Reaching Law for Discrete Sliding Mode Control. - Reaching Laws Based on Difference Equations with Minima and Rate-Regulatory Function. - A Lyapunov Characterization of Difference Equation with Minima based Discrete Sliding Mode Control. - DEM based Discrete-Time Twisting-like Algorithm and Discrete-Time Super-Twisting-like Algorithm. - Application with Simulation and Experimental Validation. - Conclusions and Future Perspectives.
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