Parameterized bilinear matrix inequality techniques for gain‐scheduling proportional integral derivative control design

International audience; Proportional-integral-derivative (PID) structured controller is the most popular class of industrial control but still could not be appropriately exploited in gain-scheduling control systems. To gain the practicability and tractability of gain-scheduling control systems, this paper addresses the (Formula presented.) gain-scheduling PID control. The design of such a controller is based on parameterized bilinear matrix inequalities, which are then solved via a bilinear matrix inequality optimization problem of nonconvex optimization. Several computational procedures are developed for its computation. The merit of the developed algorithms is shown through the benchmark examples.