A linear switching function approach to sliding mode control and observation of descriptor systems

• Autores: Jinghao Li--, Qingling Zhang
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 95, 2018, págs. 112-121
• Idioma: inglés
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• Resumen

  • This paper investigates sliding mode control and observation problems for descriptor systems via a linear switching function approach. A generalized regular form and a generalized observer regular form, which are counterparts of the regular form and the observer regular form for normal systems respectively, are first introduced for descriptor systems. Then systematic ways to design the sliding mode controller and the descriptor sliding mode observer for descriptor systems are presented by virtue of linear switching functions. Necessary and sufficient conditions are established to determine the existence of the proposed sliding mode controller and descriptor sliding mode observer. In terms of the proposed sliding mode control and observation method, a descriptor sliding mode observer-based sliding mode controller is also developed for descriptor systems. It shows that under mild assumptions, the associated sliding motion for descriptor systems is of reduced order and the separation principle holds if the amplitude of high-order sliding mode controllers in the control input can be selected appropriately.