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Robust quadratic stability and staibilization with integrity for uncertain discrete singular systems. (English) Zbl 1120.93355
The problems of robust quadratic stability and stabilization with integrity are explored for uncertain discrete singular systems by making use of algebraic Riccati inequalities. Sufficient conditions for the quadratic stability and stabilization by state feedback are given. The state feedback control law is so designed to keep the resultant loop system in quadratic stability range when system actuators are at fault. In other words the system possesses integrity. A numerical example is presented to illustrate the results showing that the discrete descriptor system is quadratically stable with fault tolerant property.
93D09 Robust stability
93D15 Stabilization of systems by feedback