Design of P, PI and PID controllers for interval plants

Considers the problem of designing P, PI and PID controllers that stabilize an interval plant family. Using results from the area of parametric robust control, these stabilization problems for an interval plant are first reduced to the equivalent problems of stabilizing either certain vertex plants (corresponding to the Kharitonov vertices) or certain segment plants (corresponding to the one-parameter generalized Kharitonov segments). Thereafter, earlier results on P, PI and PID stabilization are invoked to obtain a complete characterization of all stabilizing P, PI and PID controllers for an interval plant family.