Pole-assignment robustness in a specified disk
Systems & Control Letters
H∞ control with regional stability constraints
Automatica (Journal of IFAC)
Robust control of linear systems with generalized positive real uncertainty
Automatica (Journal of IFAC)
Journal of Dynamical and Control Systems
An LMI approach to static output feedback stabilization problem for linear uncertain systems
CA '07 Proceedings of the Ninth IASTED International Conference on Control and Applications
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This paper deals with the problem of designing output feedback controllers for linear uncertain continuous-time and discrete-time systems with circular pole constraints. The uncertainty is assumed to be norm bounded and enters into both the system state and input matrices. We focus on the design of a dynamic output feedback controller that, for all admissible parameter uncertainties, assigns all the closed-loop poles inside a specified disk. It is shown that the problem addressed can be recast as a convex optimization problem characterized by linear matrix inequalities (LMI); therefore, an LMI approach is developed to derive the necessary and sufficient conditions for the existence of all desired dynamic output feedback controllers that achieve the specified circular pole constraints. An effective design procedure for the expected controllers is also presented. Finally, a numerical example is provided to show the usefulness and applicability of the present approach.