Feedback Control of Linear Systems under Input Constraints
نویسندگان
چکیده
This paper shows that the problem of control under linear symmetrical input constraints of linear stabilizable systems can always be solved by restricting the set of admissible initial states to a polyhedral domain of the state space. This result can be obtained by an appropriate closed-loop eigenstructure assignment. Two subsequent problems are then addressed: the maximal size of the domain of admissible initial states and the robustness of the control scheme. Uncertainties on the system parameters usually reduce the actual admissible domain to a bounded set. Nevertheless, it is important to construct for the unperturbed system an admissible domain which correctly approximates the maximal controllable domain. In particular, the proposed design technique is based on the construction of an admissible positively invariant domain having the same infinite directions as the maximal set of initial states.
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