Controllability Analysis and Optimization of Hydro-Cannon Nozzle Shape Based on Direct Extreme Approach

Introduction. Controllability analysis is a required stage for the correct formulation and solution of any optimal control problem. This problem becomes specifically relevant in the context of optimizing systems with distributed parameters, which are described by partial difference equations. Such problems include the considered problem of optimization of the shape of the nozzle of a hydrocannon. The optimal nozzle should provide the maximum value of the functional expressed through the average force of the impulse of the jet of a hydrocannon. The relevance of this research is due to the lack of a unified approach to the analysis of controllability of systems with distributed parameters, which complicates the correct formulation and solution of optimization problems. In particular, previous attempts to solve the problem of hydrocannon nozzle optimization using classical variational calculus were unsuccessful due to ignoring aspects of controllability. The objective of this research was to apply a new approach proposed by V.K. Tolstykh to controllability analysis to solve the problem of optimal design of the shape of a hydrocannon nozzle.