On Sufficient Conditions for a Non-Negative Impulse Response of Arbitrary-Order Systems
Non-negative of the impulse response is a widely required feature in control systems, electronic amplifiers and other industrial applications. For control systems such as machine-tool axis control, trajectory-following in robotics, local extrema of the step response are not acceptable. Recently, one emerging class of applications comes from the design of so-called Evidence Filters. These filters require the feature of a non-negative impulse response in addition to other constraints. For a SISO linear system of first order or second order, necessary and sufficient conditions on pole-zero patterns that guarantee the non-negativity of the impulse response have been found.