Abstract
For a class of single-input single-output (SISO) dual-rate sampling processes with disturbances and output delay, this paper presents a robust fault-tolerant iterative learning control algorithm based on output information. Firstly, the dual-rate sampling process with output delay is transformed into discrete system in state-space model form with slow sampling rate without time delay by using lifting technology; then output information based fault-tolerant iterative learning control scheme is designed and the control process is turned into an equivalent two-dimensional (2D) repetitive process. Moreover, based on the repetitive process stability theory, the sufficient conditions for the stability of system and the design method of robust controller are given in terms of linear matrix inequalities (LMIs) technique. Finally, the flow control simulations of two flow tanks in series demonstrate the feasibility and effectiveness of the proposed method.
Highlights
In industrial applications, many engineering plants operate in continuous time while the system inputs and outputs are sampled, yielding discrete-time signals
For a class of single-input single-output (SISO) dual-rate sampling processes with disturbances and output delay, this paper presents a robust fault-tolerant iterative learning control algorithm based on output information
This paper develops new results for iterative learning control (ILC) design applied to time delay dual-rate sampling process with the following contributions: (i) The output information based ILC law design is extended to the fault-tolerant control problem for dual-rate sampling process with time delay and actuator faults
Summary
Many engineering plants operate in continuous time while the system inputs and outputs are sampled, yielding discrete-time signals. Composite iterative learning feedback controllers combined with state and output information are designed in [29]; the sufficient conditions for delay dependent stability are obtained These proposed methods are just based on the single-rate sampling process model, so that they cannot be directly applied to dualrate sampling processes. The challenge of faulttolerant control here is how to design a reliable ILC scheme against fault based on the inconsistent dual-rate sampling input and output information with time delay. (i) The output information based ILC law design is extended to the fault-tolerant control problem for dual-rate sampling process with time delay and actuator faults. The symbol ⌊x⌋ represents the largest integer which is less than or equal to x
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