Design of multi-objective failure-tolerant control systems for infinite-dimensional systems

A critical step in the design of multi-objective control systems is the selection of the control structure. This paper presents a multiple-degrees-of-freedom control structure for optimal controller design for infinite-dimensional systems. The approach for design of the controllers uses the internal model control design method that is applicable to infinite-dimensional systems, which alleviates the need for finite-dimensional approximation of partial differential equations. The control structure enables the multi-objective controllers to effectively deal with input saturation nonlinearities when the manipulated inputs saturate. A multi-objective infinite-dimensional control system is designed for a distributed parameter system motivated by tissue engineering. The control system is shown to remain optimal when controllers are taken off-line in the event of component failures, without redesigning any of the on-line controllers.