Abstract
In this chapter, sliding mode control (SMC) is designed for spatial control of Advanced Heavy Water Reactor (AHWR). Nonlinear system of AHWR has 90 states, 18 outputs, and 5 inputs. When linearized, the model is observed to be highly stiff. Therefore, direct application of the control method to the full-order system results into numerical ill-conditioning. Hence, full-order system of AHWR is separated into slow and fast subsystems of dimensions 73 and 17, respectively, by direct block diagonalization and sliding mode controller design is carried out using simply slow subsystem states. Afterward, SMC for full-order system is formulated by straightforward linear transformation matrices. In this, it is also demonstrated that slow subsystem SMC results in a sliding mode motion for full-order system. Nonlinear dynamic simulations have been carried out to show efficacy and robustness of the technique.
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