Work

Robust Stability of Neural-Network-Controlled Nonlinear Systems With Parametric Variability

Year: 2023

Type: article

Abstract: Stability certification and identification of a safe and stabilizing initial set are two important concerns in ensuring operational safety, stability, and robustness of dynamical systems. With the advent of machine-learning tools, these issues need to be addressed for the systems with machine-learned components in the feedback loop. To develop a general theory for stability and stabilizability of neural network (NN)-controlled nonlinear systems subject to bounded parametric variations, a Lyapunov-based stability certificate is proposed and is further used to devise a maximal Lipschitz bound for a class of stabilizing NN controllers, and also a corresponding maximal Region of Attraction (RoA) within a user-specified safety set. To compute a robustly stabilizing NN controller that also maximizes the system’s long-run utility, a stability-guaranteed training (SGT) algorithm is proposed. The effectiveness of the proposed framework is validated through an illustrative example.

Source: IEEE Transactions on Systems Man and Cybernetics Systems

DOI: 10.1109/tsmc.2023.3257269

Authors: Soumyabrata Talukder, Ratnesh Kumar

Institution: Iowa State University

Language: English

Topic: Adaptive Control of Nonlinear Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Elements: Agricultural Cyber-infrastructure support for Field and Grid Modeling, and Runtime Decision-Making, PFI-TT: A Fiber-Optic Sensing System for Multiplexed Gas Detection