Global robust stabilization of cascaded polynomial systems

摘要: Abstract Global robust stabilization of nonlinear cascaded systems is a challenging problem when the zero-dynamics not exponentially stable. Recently, some recursive procedure has been developed for handling this utilizing small gain theorem. However, success depends on satisfaction conditions which arise at each step recursion. In paper, we will show that, important class polynomial systems, solvability can be made satisfied by appropriately implementing procedure. This result leads to an explicit construction control law.