Robust synthesis of a PID controller by uncertain multimodel approach. (English) Zbl 1120.93317
Summary: This paper presents an effective method to design a PID (or PI) controller for nonlinear systems where desirable robustness and performance properties must be maintained across a large range of operating conditions. For this purpose, an uncertain multimodel of the original nonlinear system is used. The uncertainties affecting the system are treated as stochastic matrices. Based on this multimodel representation a robust PID controller can be designed in order to obtain acceptable performance for all operating conditions. Numerical examples show the practical applicability of the proposed method.
MSC:
| 93B50 | Synthesis problems |
| 93C10 | Nonlinear systems in control theory |
| 93C41 | Control/observation systems with incomplete information |
| 93E03 | Stochastic systems in control theory (general) |
Keywords:
PID controller; multimodel; multi-pid; parametric uncertainties; robust stability; random search algorithmReferences:
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