Abstract:
In this paper, we consider the problem of pole assignment in a specified circular region for uncertain continuous-and discrete-time singular systems. The system under consideration is subjected to time-invariant norm-bounded uncertainties in both the state and input matrices. The problem addressed is the design of state feedback controllers such that the closed-loop system is regular, impulse-free (in the case of continuous singular systems) or causal (in the case of discrete singular systems), as well as satisfying that the finite closed-loop poles are located within a prespecified circular region for all admissible uncertainties. The conditions for the existence of desired state feedback controllers are given and the analytic expression of expected controllers are proposed. The results can be viewed as extensions of existing results on robust pole assignment in a specified disk for uncertain state-space systems to uncertain singular systems.