Robust stabilization of multivariable systems via constrained control: Time domain approach

It is well known that control saturation and plant uncertainties are two of the most common problems the control engineers have to face. So the design of a robust controller which can overcome both the actuator saturation and parametrical uncertainties is very desirable for the practical design. In this paper, we formulate and solve the problems using the state space model with two types of controllers. Two kinds of robust stability conditions in the time domain for the multivariable dynamical perturbed systems with saturated actuators are derived for state feedback control and dynamical output feedback control, respectively.