An approach to design of control systems with parametric-coordinate feedback

A method of control design for linear systems and some nonlinear systems is considered. The class of systems is characterized by the presence of coordinate and parametric feedback control signals. The system can be presented as consisting of two control channels: one controlling the system in a specified domain and the other to drive the system into this domain. The proposed method for binary system design is based on the solution of the Lyapunov-Bellman equations. The Lyapunov-Bellman function (or the optimal Lyapunov function, namely, the solution of the correspondent equation) is used to design the second channel of control. The analytical design problem of this channel is formulated as an optimal control problem under a cost functional of special type.<
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