Robust periodic observer-based control for periodic discrete-time LTV systems

Author(s)

Agulhari, Cristiano M. ; Lacerda, Marcio J. ; IEEE

• Document type: Journal article
• Source: 2016 AMERICAN CONTROL CONFERENCE (ACC); v. N/A, p. 6-pg., 2016-01-01.

Abstract

New conditions for the design of robust periodic observer-based controllers for periodic discrete-time linear time-varying (LTV) systems are proposed in this paper. The control system is designed to be robust to external noises, and such robustness is achieved by minimizing the H-infinity norm from the input noise to the error output in the observer design, and the H-infinity norm from the error and disturbance signal to the output in the control design. Concerning the observer, two LMI (Linear Matrix Inequality) conditions are proposed. As part of the main contribution, an LMI condition, based on a dual representation of the LTV system, is also proposed for the synthesis of a robust state-feedback controller that makes use of the observed states rather than the actual states. A numerical example illustrates the validity of the proposed technique. (AU)

• FAPESP's process: 15/00269-5 - Filter design for LPV systems using IQC
• Grantee: Márcio Júnior Lacerda
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 14/03669-1 - Filtering of linear systems subject to Markov jumps and some class of nonlinear systems
• Grantee: Márcio Júnior Lacerda
• Support Opportunities: Scholarships in Brazil - Post-Doctoral