ABSTRACT
In Chapter 3, based on algebraic Riccati inequality techniques, the problem of non-fragile guaranteed cost control for discrete-time linear systems under state feedback controller gain uncertainties was investigated. However, in many systems, all of the system states are often not fully available, not measurable, or too expensive to measure, in particular for the case that only the system output is available and therefore this condition limits the practical applicability of state-feedback control schemes [14, 117]. Correspondingly, dynamic output feedback controllers are desired and every important both in theories and applications, and also are a very challenging problem [98]. On the other hand, it is well known that the controller coefficient variations caused by the imprecision inherent in analog systems and the need for additional tuning of parameters in the final controller implementation have significant influence on the performance of the control system [66] due to the fact that small perturbations on the controller coefficients may cause the designed closed-loop system to go unstable. Therefore, the problem of designing non-fragile dynamic output feedback H ℞ controllers with respect to controller coefficient variations is a comparable worthy research issue and is exceptionally challenging and much more difficult.
