Design of Dynamic Output Feedback Controllers for Linear Systemas Under Constraints
Linear Systems. Invariant Sets. Control Under Constraints. Output Feedback. State observers.
In this work an improvement in the design of output feedback controllers using invariant sets is proposed. Controlled invariant sets have been widely used to solve constrained systems problems. Despite having been well studied in state feedback control, the use of controlled invariant sets for output feedback is still little explored. A state observer is incorporated into the compensator structure in order to obtain a dynamic compensator. The proposed output feedback controlled invariant set is constructed from a conditioned invariant set and a controlled invariant set. The uncertainty of states is reduced using the contraction of the conditioned invariant set. An output feedback control strategy is to minimize the admissible states consistent with the measurements one step ahead. Here we propose the optimization of this strategy by using the result of the linear programming problem as an additional information in the calculation of the next control action in order to accelerate convergence. Results obtained from the optimization strategy using the conditioned invariant set as a target for the optimization of the distance to the origin are also analyzed. First, the theory of invariant sets and its application in state feedback control is presented. Next, the strategies for static and dynamic output feedback are presented without the use of additional information in the calculation of the control action. Finally, the design of output dynamic and static feedback controllers using the optimization strategies with additional information is presented and the results obtained with both strategies are compared.