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State-based control of fuzzy discrete-event systems
Yongzhi Cao1, Mingsheng Ying, Guoqing Chen
1State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China. caoyz@mail.tsinghua.edu.cn
This study introduces state-based control for fuzzy discrete-event systems (DESs), offering a new method to manage system possibilities. It establishes controllability conditions and explores the relationship between state-based and event-based control strategies.
Area of Science:
- Control Theory
- System Dynamics
- Fuzzy Logic
Background:
- Fuzzy discrete-event systems (DESs) generalize conventional DESs to represent system possibilities.
- Event-feedback-based supervisory control is established for fuzzy DESs.
- System state descriptions offer a more convenient perspective for control specifications.
Purpose of the Study:
- Investigate state-based control for fuzzy DESs.
- Develop methods for finding reachable fuzzy states under control.
- Define and provide conditions for the controllability of fuzzy states.
Main Methods:
- Present an approach to identify all controllable fuzzy states.
- Introduce the concept of controllability for fuzzy states.
- Derive a necessary and sufficient condition for fuzzy state set controllability.
Main Results:
- An approach for finding reachable fuzzy states is presented.
- Controllability conditions for fuzzy states are established.
- The non-equivalence of event-based and state-based controls is demonstrated.
Conclusions:
- State-based control provides a viable alternative for fuzzy DESs.
- The relationship between event- and state-based controls is clarified.
- The paper examines controlling fuzzy DESs from initial to target fuzzy states indefinitely.
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