This chapter considers a scheme to perform fault-tolerant control (FTC) in a class of non-infinitely observable descriptor systems (NIODS) that are affected by disturbances. The proposed scheme consists of a sliding mode observer (SMO) to estimate the states and unknown inputs, and a controller to perform FTC. The system is re-expressed as an infinitely observable reduced-order system by treating some states as unknown inputs. A SMO is implemented onto the reduced-order system to estimate the states and unknown inputs of the original system. These estimates are then passed into a controller that counteracts the effects of the unknown inputs. Linear matrix inequality techniques are used to design the SMO and controller such that the estimates from the SMO and the output of the system converge asymptotically. The necessary and sufficient conditions for the existence of the scheme are investigated and expressed in terms of the original system matrices. Finally, the scheme is implemented on a simulation of a practical system, and the results demonstrate its effectiveness.
Observer-Based Fault-Tolerant Control for Non-Infinitely Observable Descriptor Systems
Studies in Systems, Decision and Control
Recent Advances in Control Problems of Dynamical Systems and Networks ; Kapitel : 6 ; 123-145
2020-08-11
23 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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