Based on the genetic programming approach, a new design method is proposed for optimal controllers of minimax problems, including H∞ control problems. The state feedback controllers and observer-based output feedback controllers are derived. First, the detailed description is given on the genetic programming, which plays a key role in constructing robust minimax controllers. Then, making use of the emergent property of the genetic programming, the new type of the design method is proposed. The demonstration of its effectiveness is done through some simple numerical examples of the H∞ control problems. Finally, the inverted pendulum problem is tackled by applying the GP based design method.
- Genetic algorithm
- H-infinity optimization
- Minimax techniques
ASJC Scopus subject areas
- Electrical and Electronic Engineering