Improving disturbance rejection of PID controllers by means of the magnitude optimum method

The New Design Strategy on PID Controllers

“…As a result, many theoretical and practical problems remain unsolved in this field. And many papers are devoted to stability analysis and decentralized controller design for networked systems with linear forms or the nonlinear terms are restricted to the Lipschitz condition (see (Emelyanov et al, 1992), (Vrancic et al, 2010) and the references therein). At the same time, uncertainties or disturbances are often encountered in many control problems.…”

“…Of course, step-like functions belong to the set which can be rejected in this way. It also indicates that the Lipshitz condition, which will be required for the analysis of uncertain systems by using some of the other methods ( (Emelyanov et al, 1992), (Vrancic et al, 2010)), will not be necessary. In (20), the derivatives of the uncertainties will be needed.…”

Attitude Control of a Quadrotor with Optimized PID Controller

“…Numerous methods suggested so far try to accomplish the task by making use of different representations of the essential aspects of the process behavior [24]. Among the well-known formulas are the ZieglerNichols rule, the Cohen-Coon method, IAE, ITAE, and internal model control.…”

Magnitude Optimum Techniques for PID Controllers

“…This is one of the most serious disadvantages of the MO method, since in process control disturbance rejection performance is often more important than tracking performance. The mentioned deficiency has been recently solved by modifying the original MO criteria (Vrančić et al, 2004b;Vrančić et al, 2010). The modified criteria successfully optimised the disturbance rejection response instead of the tracking response.…”