Quadratic stabilization control in average based on input-output data: swinging up and inverted standing of pendulum

It is known that quadratic stability is a useful idea to discuss the robust stabilizing control. However, the condition of the quadratic stability is too restrictive for us to treat a wide class of nonlinear systems. In this paper a new idea of quadratic stability is introduced so that we can apply it to a wide class of nonlinear systems. A simulation result is given as well.