Discontinuous integro-differential equations and sliding mode control
This work addresses control system design for engineers and researchers, but it appears incremental as it extends existing methods to new equation classes.
The paper tackled the analysis and design of sliding mode control systems modeled by integro-differential equations, extending Filippov method and equivalent control to nonlinear and infinite-dimensional cases, and designed control algorithms for distributed input delay and heat control systems.
The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations and to a class of control systems modeled by infinite-dimensional differential equations in Banach spaces. Sliding mode control algorithms are designed for distributed input delay systems and for a heat control system.