Abstract
In this paper it is described a new method to design PID controllers using a linear programming approach for optimizing performance subject to robustness constraints. It is based on the shaping of a reference loop gain transfer function which forms a convex region on the Nyquist diagram which contains and bounds the designed loop gain Nyquist plot. The convex region is approximated by a set of lines in order to formulate a linear optimization problem. It is also presented an optional performance specification related to the crossover frequency of the designed loop gain. The class of stable linear time-invariant single-input simple-output (SISO) systems is considered and the optimization problem is proposed, solved and analyzed.
Original language | English |
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Pages (from-to) | 592-597 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 51 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jan 2018 |
Externally published | Yes |
Event | 3rd IFAC Conference on Advances in Proportional-Integral-Derivative Control PID 2018 - Ghent, Belgium Duration: 9 May 2018 → 11 May 2018 |
Keywords
- Linear programming
- Multiobjective optimization
- Optimization problems
- Parameter optimization
- PID control