Observer-based output feedback control for discrete systems with quantised inputs

This study is concerned with the problem of observer-based output feedback control for discrete-time systems with quantised inputs. Firstly, a new necessary and sufficient condition is established to guarantee the asymptotic stability of the closed-loop system. However, the condition is presented in terms of a matrix inequality that depends on quantisation parameters varying over certain intervals. To solve this problem, a new quantisation-density- dependent necessary and sufficient condition is derived. Based on such a condition, both full- and reduced-order observer-based quantised feedback controllers are designed via a single-step approach. Finally, numerical examples are given to show the effectiveness of the author's method.