Finite Stabilization Controllers for Hybrid LinearContinuous-Discrete Systems

For hybrid linear autonomous continuous-discrete systems, we propose methods for designing two types of controllers that provide finite stabilization. The implementation of one of these methods, a finite stabilization state controller, is based on knowing the values of the control system solution at discrete moments of time that are multiples of the quantization step. For this purpose, an observer is constructed that makes it possible to obtain necessary solution values based on the observed output signal in real time and with zero error. The second type of regulator, a finite stabilization output controller, uses the observed output signal as a feedback, and its design is a modification of the finite state stabilization state controller by including the above observer in its circuit.