Stability analysis for control systems with reset integrators

In feedback control systems, it may be beneficial to reset integrators. For example, the so-called Clegg integrator is a linear integrator whose output is reset to zero whenever its input crosses zero. Its sinusoidal describing function is 1.69//spl omega/ /spl ang/-38.1/spl deg/ indicating possible advantage over its linear counterpart. In this paper, we develop some stability criteria for such systems based upon integral quadratic constraint models of the reset action.