학술논문

Data-Based Control Design for Output-Error Linear Discrete-Time Systems With Probabilistic Stability Guarantees
Document Type
Periodical
Source
IEEE Control Systems Letters IEEE Control Syst. Lett. Control Systems Letters, IEEE. 7:2035-2040 2023
Subject
Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Noise measurement
Uncertainty
Asymptotic stability
Optimization
Probabilistic logic
Heuristic algorithms
Data models
Data-driven control
uncertain systems
robust control
Language
ISSN
2475-1456
Abstract
In this letter we propose a novel method for direct data-based design of an output feedback controller for output-error processes in the single-input-single-output case. We consider a finite number of input/output data points collected from the system. Based on them, we define a set of state-space perturbed models consistent with data, where a bound on the disturbance is obtained by scenario optimization, and the structural properties of the models in this set are theoretically analyzed. This leads to a linear matrix inequality for the design of the feedback control law with probabilistic asymptotic stability guarantees. A simulated non-minimum phase system illustrates the approach.