滑动模式在控制与优化中的应用探讨了滑动模式控制理论及其在工程系统中实现高效、鲁棒性能优化的应用案例和最新进展。
Sliding Modes in Control and Optimization, authored by Vadim I. Utkin, focuses on systems with discontinuous control. The investigation of such dynamic systems is a multifaceted issue that encompasses mathematical, theoretical, and practical dimensions. Over time, professionals from various fields including mathematics, physics, and engineering have tackled this problem independently yet collectively enriched the field of control theory through their findings.
For instance, research into oscillations in discontinuous nonlinear systems or studies on ordinary differential equations with discontinuous right-hand parts has significantly influenced advancements in control theory. The persistent interest in discontinuous control systems, coupled with their practical applications across diverse physical and functional contexts, underscores the significance of this area of study according to the author.
It appears beneficial from a theoretical perspective to examine both mathematical and application aspects of discontinuous dynamic system theories within contemporary control theory frameworks. The initial endeavor was initiated by the author in 1975-1976 through courses on The Theory of Discontinuous Dynamic Systems and The Theory of Variable Structure Systems, offered to postgraduate students at the University of Illinois, USA. Subsequently, these ideas were further explored from 1978-1979 during seminars held in Moscows Institute of Control Sciences Laboratory for systems with discontinuous control.
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