Application of a Game-theoretic Multi-loop Control System Design With Robust Performance

2022

Energies

advanced control system design for large wind turbines is becoming increasingly complex, and high-level optimization techniques are receiving particular attention as an instrument to fulfil this significant degree of design requirements. Multiobjective optimal (MOO) control, in particular, is today a popular methodology for achieving a control system that conciliates multiple design objectives that may typically be incompatible. Multiobjective optimization was a matter of theoretical study for a long time, particularly in the areas of game theory and operations research. Nevertheless, the discipline experienced remarkable progress and multiple advances over the last two decades. Thus, many high-complexity optimization algorithms are currently accessible to address current control problems in systems engineering. On the other hand, utilizing such methods is not straightforward and requires a long period of trying and searching for, among other aspects, start parameters, adequate objective functions, and the best optimization algorithm for the problem. Hence, the primary intention of this work is to investigate old and new MOO methods from the application perspective for the purpose of control system design, offering practical experience, some open topics, and design hints. A very challenging problem in the system engineering application of power systems is to dominate the dynamic behavior of very large wind turbines. For this reason, it is used as a numeric case study to complete the presentation of the paper.

Section: Approach Using Additional Control Criteriamentioning

confidence: 99%

Section: Approach Using a Compromise Between The Criteriamentioning

confidence: 99%

Multiobjective Optimal Control of Wind Turbines: A Survey on Methods and Recommendations for the Implementation

2022

Energies

“…[6] uses ideas of game theory, to treat the design process as a two player zero sum game between the controller of a player and the disturbance generated by the actions of the other player. The new approach for control system design, optimizing the performance concerning the error convergence of multi-loop systems in a game-theoretic framework, proposed in [12], [13], [14], and [15] by the authors, is now used to study the effects of different information distribution and bounded strategy sets based on one basic structure.…”

Section: Introductionmentioning

confidence: 99%

Game-theoretical analysis of a multi-loop control structure with constrained strategy sets

Wellenreuther

2008 IEEE International Conference on Control Applications

Badreddin

2008

Self Cite

The comparison of different multi-loop control structures for a basic triangular system is the focus of the present paper. The idea is originated from game theory, where information is an essential component. Hence, the gametheoretic view of controller design in multi-loop control systems allows the question, how unequally distributed or incomplete information affects the control structure and the selection of the players' strategies. Additionally, if constraints on the control signals are considered, the strategy set of each player is bounded. Thus, the solution of each game provides different Pareto-optimal sets depending on different bounded strategy sets. In the present paper, an asymmetric triangular multi-loop control structure of a reverse osmosis desalination plant was chosen as basis to study and discuss the effects of different information sets, due to the control structure, to the solution of each game.

“…Thus, in [8], constraints for the control signals are explicitly formulated and maintained during the control system design. The consideration of the system requirement on robust stability is proposed in [19]. The application of game theory in control theory is not new.…”

mentioning

confidence: 99%

Game-theoretical analysis for choosing the topology in multi-loop control systems

Wellenreuther

2008 American Control Conference

Badreddin

2008

Self Cite

The focus of the paper is the review of the control structure selection for a given system. If a framework, derived from game theory is used for the control system design of multiloop systems, the question arises, how unequally distributed or incomplete information affects the selection of the players strategies. In the field of game theory, information is an essential component. Different information sets lead to different strategy selections provided by the controllers and the belonging control laws. In the present paper, an asymmetric triangular multiloop control structure was chosen as basis to study and discuss the effects of different information sets to the solution of each game. The solution of the game provides a Pareto-optimal set of controller parameters for the multi-loop control system.