... problem of nonlinear control design for infinite dimensional nonlinear systems. While not as powerful as a full nonlinear design, gain scheduling based PDE backstepping theory produces tractable results that outperform simple linearization based design. A control design for nonlinear PDEs inspired...

... of the beam using only actuation at the base. The explicit deflection angle reference solution is found as a result of writing the shear beam model in a strict-feedback form. Special “partial differential equation (PDE) backstepping” transformations relate the strict-feedback model to a “target system...