Abstract
In this chapter, design of discrete-time sliding mode control (DSMC) for spatial stabilization of Advanced Heavy Water Reactor (AHWR) is demonstrated. AHWR system is represented by 90 first-order nonlinear differential equations with 18 outputs and 5 inputs. Initially, highly ill-conditioned linear system of AHWR is transformed into block diagonal form to have separate slow, fast 1, and fast 2 subsystems. Fast 1 and fast 2 subsystems are observed to be stable, hence DSMC is designed using slow subsystem alone. The constant plus proportional rate reaching law and power rate reaching law are used for design purpose. This nonlinear multivariable model of AHWR is simulated with the designed controls and results are generated. Performances are compared under the same transient conditions.
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