| Title |
Near Time Maximum Disturbance Design for Second Order Oscillator with Model Uncertainty |
| Keywords |
damped harmonic oscillator ; disturbance design ; optimal control ; switch curve ; model uncertainty |
| Abstract |
In this paper we propose a disturbance design method to test a system's stability. It is shown that the time maximum disturbance is represented in bang-bang and state feedback form. To maximize the time severity index, the value of disturbance is determined by the associated switch curve. The original switch curve is vulnerable to model uncertainties and takes much calculation time. We propose an improved method to approximate the original switch curve. This reduces the computational time and implements sufficiently to test the stable system. Simulation results show how the approximate switch curve can be used to stress a system by driving it to oscillation along the maximum limit cycle. |