AN OUTPUT FEEDBACK STABILIZATION METHOD FOR SYSTEMS WITH CONTROLLER-DRIVEN SAMPLING

ESTEBAN N. OSELLA; HERNAN HAIMOVICH

Buenos Aires

Congreso; 23º Congreso Argentino de Control Automático 2012; 2012

Asociación Argentina de Control Automático

Control systems involving shared communications networks are becoming ubiquitous. The inclusion of a communications network within a feedback loop imposes new control challenges. We consider a setting where a centralized controller/scheduler is in charge of the control of several processes and also of administering access to the shared communications network. In this setting, the controller may perform on-line variations of the sampling rate of all processes in order to accommodate for new processes requiring access to the network and to maximize performance when processes finish operation. We refer to this setting as controller-driven varying-sampling-rate (VSR). We regard a continuous-time (CT) system sampled at varying rates as a discrete-time switched system (DTSS), and aim at devising sampling-rate dependent output feedback to ensure stability irrespective of the way in which the sampling rate is varied. We show how our previous state-feedback results can be extended to deal with output feedback. Our feedback design strategy is based on Lie-algebraic solvability. Such methodology involves three main parts: first, dividing the system into its stable and unstable parts, then designing the feedback matrices, and finally, designing the observers matrices. A particular benefit of the application of such methodology is that it enables us to apply simple componentwise ultimate bound computation methods for the closed-loop system under disturbances.