Abstract: This paper proposes a new technique to design a
fixed-structure robust loop shaping controller for the pneumatic
servosystem. In this paper, a new method based on a particle swarm
optimization (PSO) algorithm for tuning the weighting function
parameters to design an H∞ controller is presented. The PSO
algorithm is used to minimize the infinity norm of the transfer
function of the nominal closed loop system to obtain the optimal
parameters of the weighting functions. The optimal stability margin is
used as an objective in PSO for selecting the optimal weighting
parameters; it is shown that the proposed method can simplify the
design procedure of H∞ control to obtain optimal robust controller for
pneumatic servosystem. In addition, the order of the proposed
controller is much lower than that of the conventional robust loop
shaping controller, making it easy to implement in practical works.
Also two-degree-of-freedom (2DOF) control design procedure is
proposed to improve tracking performance in the face of noise and
disturbance. Result of simulations demonstrates the advantages of the
proposed controller in terms of simple structure and robustness
against plant perturbations and disturbances.
Abstract: This paper describes an expanded system for a servo
system design by using the Loop Shaping Design Procedure (LSDP).
LSDP is one of the H∞ design procedure. By conducting Loop
Shaping with a compensator and robust stabilization to satisfy the
index function, we get the feedback controller that makes the control
system stable. In this paper, we propose an expanded system for a
servo system design and apply to the DC motor. The proposed method
performs well in the DC motor positioning control. It has no
steady-state error in the disturbance response and it has robust
stability.