Robust Control: The Parametric Approach
Robust Control: The Parametric Approach
Brief paper: All stabilizing PID controllers for time delay systems
Automatica (Journal of IFAC)
Design of robust PID controllers using decoupling at singular frequencies
Automatica (Journal of IFAC)
Brief Fast calculation of stabilizing PID controllers
Automatica (Journal of IFAC)
Brief Synthesis of H∞ PID controllers: A parametric approach
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
In this work, the computation of the regions in the space of coefficients of a PID controller, inside which the controller stabilizes an LTI time-delay plant and guarantees a performance specification for the closed-loop system, is addressed. To ascertain the sensor noise attenuation, as a sample performance requirement, the H"~-norm of the weighted complementary sensitivity function is kept below a desired bound. The problem of minimization of the H"~-norm is transformed into the simultaneous stabilization of a family of quasipolynomials. Then, the stable domains of the PID coefficients are computed for these quasipolynomials using the parameter space approach. This work extends the previous results on the computation of the stability domains of a PID controller to ensure the desired performance specification for the closed-loop system.