Work

A Universal Formula for Asymptotic Stabilization with Bounded Controls

Year: 2015

Type: article

Abstract: Motivated by Artstein and Sontag universal formula, this brief paper presents an explicit proof of the universal formula for asymptotic stabilization and asymptotic disturbance rejection of a nonlinear system with mismatched uncertainties and time varying disturbances. We prove the stability via Lyapunov stability criteria. We also prove that the control law satisfies small control property such that the magnitude of the control signal can be bounded without the catastropic effect to the closed loop stability. For clarity, we benchmark the proposed approach with other method namely a Lyapunov redesign with nonlinear damping function. We give a numerical example to verify the results.

Source: International Journal of Electrical and Computer Engineering (IJECE)

DOI: 10.11591/ijece.v5i1.pp111-118

Authors: Muhammad Nizam Kamarudin, Abdul Rashid Husain, Mohamad Noh Ahmad, Zaharuddin Mohamed

Institutions: Universiti Teknikal Malaysia Melaka, University of Technology Malaysia

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: Universiti Teknikal Malaysia Melaka, Universiti Teknologi Malaysia

OpenAlex ID: W1776824786

FWCI: 0.309

Cites: 8

Cited by: 2

Related to: 10