2010 **Abstract:** Abstract. This paper addresses the problem of constructing controlled invariant polyhedral sets for linear discrete-time descriptor systems subject to state and control constraints and persistent disturbances. Regardless the large number of contributions on set invariance for linear systems in the standard form, there are few works dealing with set invariance properties in the case of descriptor systems. Here, assuming regularity and causality of the descriptor system, the state equations are written in such w…

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“…with d m and d m + 1 being the disturbances at the present instant and one step ahead according to equation (17). In order to compute Du(k + 1), and, consequently, the control input u(k + 1) under the proposed structure, u(k) is treated as a state.…”

confidence: 99%

“…with d m and d m + 1 being the disturbances at the present instant and one step ahead according to equation (17). In order to compute Du(k + 1), and, consequently, the control input u(k + 1) under the proposed structure, u(k) is treated as a state.…”

confidence: 99%

“…On the basis of these definitions, the development that leads to Theorem 2.1 can be directly extended to the descriptor case, by replacing the corresponding matrices by those of system (17).…”

confidence: 99%