Science & Engineering Research Support soCiety (SERSC)
In this paper, the authors take into considerations of the inverse problem for LQ-PID control. Solving the inverse problem, explicit formulas are developed such that the closed loop system is optimal by an LQ-PID controller. The inverse problem of LQ-PID (Linear Quadratic-Proportional Integral Derivative) control is analytically formulated via the frequency-domain and algebraic characterizations of LQR with respect to special forms of the state weighting matrix Q. They apply the LQ-PID control to AQM (Active Queue Management) routers from the viewpoint of the inverse problem.