Optimization-based control system design

A computer-aided control system design method based on the Q -parameterization theory and optimization techniques is developed. The design problem is formulated as an optimization problem with equality, inequality, and functional inequality constraints. The equality constraints come from the stability requirement and the other constraints from performance specifications. It is shown that, with an appropriate choice of design variable, the equality constraints can be eliminated. Algorithms to solve the optimization problem, based on the so-called phase I-phase II feasible direction method, are developed. The CAD software is implemented by using the primitives of PCMATLAB. The method is practical in that it considers practical engineering design specifications, such as maximum overshoot, settling time, closed-loop bandwidth, and plant-input limitation; it is systematic in that the controller is obtained through a well-defined iterative procedure. An illustrative example is given to demonstrate the effectiveness of the design approach