Multiobjective output feedback controller compare with IMC-based PID controller

Abstract

The present work aims at comparison between Internal Model Control (IMC) and Multiobjective Output Feedback Controller. The inter model control (IMC) based tuning principle is straightforward, simple to use, and easy to implement which is exceptionally appealing to professionals in the real practice. The most essential reality is IMC-PI/PID tuning guideline has one and only characterized tuning parameter, which is straightforwardly identified with the closed loop time constant. Internal Model Control selecting among the other conventional PID Controllers by considering values of the Integral of the squared value of the error (ISE) and Integral of the absolute value of the error (IAE). IMC is comparing with Direct Synthesis Method (DSM) this method is based on the desired closed loop characteristic equation. In Multiobjective the design objectives are H-infinity and Pole Placement Constraints. These design objectives are formulated in terms of the common lyapunov function. A complete Linear Matrix Inequality (LMI) of the output feedback synthesis with H-infinity control with pole placement is presented. By change of controller variables the output feedback control would be linearized due to the nonlinear terms include in the objectives constraints. The Linear Matrix Inequality (LMI) constraints of the design objectives i.e. H-infinity and Pole Placement Constraints are derived, and these LMI constraints are solving by using LMI Solvers. The comparison of the methods is illustrated by a realistic design example and the simulation results are presents.