Guaranteed stability regions of linear systems with actuator saturation using the low-and-high gain technique

The stability regions of input-saturated linear systems are examined, with attention focused on state-feedback LQ control. The results describe hyper- ellipsoidal domains, which are subsets of the actual domain of attraction f or the system. This is not new; the novelty is in the use of the low-and-hi gh gain technique, to reduce conservatism in the results. In addition to th e standard regulator, the tracking case is treated and some comments are ma de regarding other extensions.