Synthesis of optimal signals for dynamical systems by special types of bang-bang actuators
Abstract
We describe a new constructive method for solving a linear indirect optimal control problem with allowance for the features of special types of bang- bang actuators. The method makes possible to obtain necessary and sufficient optimality conditions to the control problems with bang-bang actuators, bang-bang actuators with stagnation zones and bang-bang actuators with delay in feedback loop. On the base of this approach the algorithms of optimal open- loop and on-line optimization are justified for systems with constraints on control function and terminal states. All results are illustrated by examples.
