Abstraction Based Supervisory Controller Synthesis for High Order Monotone Continuous Systems

Author(s):  
Thomas Moor ◽  
Jörg Raisch
2014 ◽  
Vol 47 (2) ◽  
pp. 39-45 ◽  
Author(s):  
Narges Khakpour ◽  
Farhad Arbab ◽  
Eric Rutten

Author(s):  
Ferdie F. H. Reijnen ◽  
Toby R. Erens ◽  
Joanna M. van de Mortel-Fronczak ◽  
Jacobus E. Rooda

AbstractThe development of supervisory controllers for cyber-physical systems is a laborious and error-prone process. Supervisor synthesis enables control designers to automatically synthesize a correct-by-construction supervisor from a model of the plant combined with a model of the control requirements. From the supervisor model, controller code can be generated which is suitable for the implementation on a programmable logic controller (PLC). Supervisors for industrial systems that operate in close proximity to humans have to adhere to strict safety standards. To achieve these standards, safety PLCs (SPLCs) are used. For SPLC implementation, the supervisor has to be split into a regular part and a safety part. In previous work, a method is proposed to automatically split a supervisor model for this purpose. The method assumes that the provided plant model is a collection of finite automata. In this paper, the extension to extended finite automata is described. Additionally, guidelines are provided for modeling the plant and the requirements to achieve a favorable splitting. A case study on a rotating bridge is elaborated which has been used to validate the method. The case study spans all development steps, including the implementation of the resulting supervisor to control the real bridge.


2004 ◽  
Vol 126 (3) ◽  
pp. 692-696 ◽  
Author(s):  
Ukpai I. Ukpai ◽  
Suhada Jayasuriya

Balanced reduction relies on the internal balancing of the controllability and observability grammians to eliminate weakly observable and controllable modes. Weighting functions are often used to improve this procedure. Several benefits exist in implementing low-order rather than high-order controllers. It is, therefore, imperative to reduce any errors that result from using the infinite grammians in the controller reduction process. By fixing the structure of the high-order controller and choosing an appropriate frequency interval for the balanced reduction a system that assumes a second-order controller is obtained, forming the basis for an efficient approximation/optimization towards obtaining a robust PID controller. This paper establishes a procedure for choosing the weighting functions.


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