Fuzzy Hybrid Systems modeling with application in decision making and control

2012-11-28
Boutalis, Yiannis
Moor, Thomas
Schmidt, Klaus Verner
Hybrid Systems are systems containing both discrete event and continuous variable components. Many recent contributions address crisp situations, where ambiguity or subjectivity in the measured data is absent. In this paper, we propose Fuzzy Hybrid Systems to account for inaccurate measurements and uncertain dynamics. We present a strategy to determine the most appropriate control actions in a sampled data setting. The proposed approach is based on three basic steps that are performed in each sampling period. First, the current discrete fuzzy state of the system is determined by a sensor evaluation. Next, the future discrete fuzzy state is predicted for the possible control actions and the best action, in respect to desired continuous states, is selected. Finally, the decision is cross-evaluated by a limited horizon prediction of the continuous system variables. The proposed method is explained and demonstrated for a variation of the a well-known two-tank scenario.

Suggestions

Fuzzy Discrete Event Systems for Multiobjective Control: Framework and Application to Mobile Robot Navigation
Schmidt, Klaus Verner (2012-10-01)
Fuzzy discrete event systems (FDESs) have been introduced in recent years to model systems whose discrete states or discrete state transitions can be uncertain and are, hence, determined by a possibility degree. This paper develops an FDES framework for the control of sampled data systems that have to fulfill multiple objectives. The choice of a fuzzy system representation is justified by the assumption of a controller realization that depends on various potentially imprecise sensor measurements. The propos...
Multi-objective decision making using fuzzy discrete event systems: A mobile robot example
Boutalis, Yiannis; Schmidt, Klaus Verner (2010-09-29)
In this paper, we propose an approach for the multi-objective control of sampled data systems that can be modeled as fuzzy discrete event systems (FDES). In our work, the choice of a fuzzy system representation is justified by the assumption of a controller realization that depends on various potentially imprecise sensor measurements. Our approach consists of three basic steps that are performed in each sampling instant. First, the current fuzzy state of the system is determined by a sensor evaluation. Seco...
Controller synthesis for an I/O-based hierarchical system architecture
Perk, Sebastian; Moor, Thomas; Schmidt, Klaus Verner (2008-10-08)
In our previous work, a framework for the hierarchical design of discrete event systems has been introduced that is based on a notion of inputs and outputs. I/O-plant models describe the interaction of each subsystem with the operator (or controller) and the environment. By alternation of subsystem composition and controller synthesis, a hierarchy of controllers is obtained that complements a hierarchy of environment models. An admissibility condition was presented that implies liveness while allowing for a...
Abstraction-based supervisory control for recon-gurable manufacturing systems ?
Khalid, Harith M.; Kirik, Mustafa Sancay; Schmidt, Klaus Verner (2013-10-21)
Reconfiguration control for discrete event systems (DES) is concerned with the realization of different system configurations by modification of the supervisory control loop. In this paper, we study the reconfiguration supervisor design for reconfigurable manufacturing systems (RMS) that comprise multiple components. We construct a modular supervisor for each configuration and system component in order to realize each active configuration and to quickly change between configurations. Different from the exis...
Hierarchical control with partial observations: Sufficient conditions
Boutin, Olivier; Komenda, Jan; Masopust, Tomas; Schmidt, Klaus Verner; Van Schuppen, Jan H. (2011-12-01)
In this paper, hierarchical control of both monolithic and modular discrete-event systems under partial observations is studied. Two new conditions, called observation consistency and local observation consistency, are proposed. These conditions are sufficient for the preservation of observability between the original and the abstracted plant. Moreover, it is shown that both conditions are compositional, that is, they are preserved by the synchronous product. This property makes it possible to use hierarchi...
Citation Formats
Y. Boutalis, T. Moor, and K. V. Schmidt, “Fuzzy Hybrid Systems modeling with application in decision making and control,” 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47271.