1. Control refinement for discrete-time descriptor systems
- Author
-
Fei Chen, Sofie Haesaert, Siep Weiland, Alessandro Abate, Mechanical Engineering, Control Systems, Control of high-precision mechatronic systems, Formal methods for control of cyber-physical systems, Spatial-Temporal Systems for Control, and Cyber-Physical Systems Center Eindhoven
- Subjects
behavioural theory ,0209 industrial biotechnology ,control refinement ,Descriptor systems ,020208 electrical & electronic engineering ,simulation relations ,02 engineering and technology ,Systems and Control (eess.SY) ,cs.SY ,Algebra ,020901 industrial engineering & automation ,Discrete time and continuous time ,Control and Systems Engineering ,Control theory ,0202 electrical engineering, electronic engineering, information engineering ,FOS: Electrical engineering, electronic engineering, information engineering ,Computer Science - Systems and Control ,High order ,Algebraic number ,Control (linguistics) ,Mathematics - Abstract
The analysis of industrial processes, modelled as descriptor systems, is often computationally hard due to the presence of both algebraic couplings and difference equations of high order. In this paper, we introduce a control refinement notion for these descriptor systems that enables analysis and control design over related reduced-order systems. Utilising the behavioural framework, we extend upon the standard hierarchical control refinement for ordinary systems and allow for algebraic couplings inherent to descriptor systems., Comment: 8 pages, 3 figures
- Published
- 2017