Control of nonlinear variable structure systems
This paper is devoted to the research of different nonlinear control problems with variable structure described by \(\dot x=f(t,x,u)\), \(x(t)\in R^ n\), \(u(t)\subset V\in R^ m\) with sliding manifold \(S(x)=0,S(x)\in R^ m\). Controllability conditions based on Filipov's definition of the solution of ordinary differential equations with discontinuous right-hand sides are derived. The derived conditions are illustrated via particular control problems with variable structure.
nonlinear control problems with variable structure
scientific article; zbMATH DE number 4010318
scientific article