Full text
| |
| Author(s): |
Bruno Sereni
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | Ilha Solteira. 2023-01-20. |
| Institution: | Universidade Estadual Paulista (Unesp). Faculdade de Engenharia. Ilha Solteira |
| Defense date: | 2023-01-19 |
| Advisor: | Edvaldo Assunção |
| Abstract | |
In this work, new static output feedback (SOF) controller synthesis conditions for the stabilization of linear systems are proposed. The cases of uncertain linear time-invariant (LTI) systems and linear parameter-varying (LPV) systems are addressed in the frameworks of robust control and gain-scheduling (GS) control, respectively. The SOF controller synthesis is based on the two-stage method, in which a preliminary state feedback (SF) gain matrix is designed, and then used as input information to the second stage for obtaining the desired stabilizing SOF controller. The proposed design conditions are given in terms of sufficient linear matrix inequalities (LMI), and are obtained considering the enforcement of specific additional constraints for guaranteeing improved transient performance regarding the establishment of a lower bound on the closed-loop system decay rate and reduced oscillatory behavior. Such further control requirements are imposed through LMI pole placement constraints, designed based on the concept of the D-stability of continuous-time systems. Furthermore, SOF control design conditions are also proposed for addressing noise/disturbance rejection by means of the Hoo guaranteed cost minimization, particularly for discrete-time LPV systems. Additionally, the employment of the studied SOF control strategy for dealing with uncertain LTI systems with sensors and/or actuators with non-negligible dynamics and subject to time delay is investigated. For this purpose, an augmented system model which encompasses plant, sensors, and actuator dynamics is obtained. The system augmentation procedure also takes into account the dynamic effect of the time delay. Particularly for this problem, the use of homogeneous-polynomial parameter-dependent Lyapunov functions (HPPDLF) with degree higher than 1 is considered. Disturbance rejection is also addressed through extensions to H2 guaranteed cost minimization. Numerical examples are presented to illustrate the SOF controller synthesis procedure proposed in this work, as well as to highlight its features and advantages over other strategies available in the literature. Results of practical implementation of SOF controllers designed using the proposed methods are also presented, attesting for the potential of the contributions of this work to be employed in real world control problems. (AU) | |
| FAPESP's process: | 18/20839-9 - Gain-scheduling static output feedback hoo robust control for linear parameter-varying systems |
| Grantee: | Bruno Sereni |
| Support Opportunities: | Scholarships in Brazil - Doctorate |