SMC reliable design for T-S model-based systems

This paper studies the robust reliable control issues based on the Takagi-Sugeno (T-S) fuzzy system modeling method and the sliding mode control (SMC) technique. The combined scheme is shown to have the merits of both approaches. It not only alleviates the on-line computational burden by using the T-S fuzzy system model to approximate the original nonlinear one (since most of the system parameters of the T-S model can be computed off-line) but it also preserves the advantages of rapid response and robustness of the SMC schemes. Moreover, the combined scheme does not require on-line computation of any nonlinear term of the original dynamics and the increase in the partition number of the region of premise variables does not create extra on-line computational burdens for the scheme. Under the design, the control mission can continue safely without prompt external support even when the susceptible actuators fail to operate. The proposed analytical results are also applied to the attitude control of a spacecraft. Simulation results demonstrate the benefits of the proposed scheme.