Self-generated limit cycle tracking of the underactuated inertia wheel inverted pendulum under IDA-PBC

H Gritli, N Khraief, A Chemori, S Belghith - Nonlinear Dynamics, 2017 - Springer
This paper deals with the tracking approach of a self-generated stable limit cycle for an
underactuated mechanical system: The inertia wheel inverted pendulum (IWIP). Such …

A novel adaptive SMC strategy for sustained oscillations in nonlinear sandwich systems based on stable limit cycle approach

M Azhdari, T Binazadeh - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper deals with the problem of creating stable oscillations in the class of nonlinear
sandwich systems with dead-zone nonlinearity and unknown disturbances by creating the …

Limit cycle oscillator in nonlinear systems with multiple time delays

AR Hakimi, M Azhdari, T Binazadeh - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper concerns with the problem of generation stable limit cycles in a class of nonlinear
time-delay systems with multiple time delays. With the help of the Lyapunov–Krasovskii …

Robust generation of limit cycles in nonlinear systems: application on two mechanical systems

A Reza Hakimi, T Binazadeh - Journal of …, 2017 - asmedigitalcollection.asme.org
This paper studies inducing robust stable oscillations in nonlinear systems of any order. This
goal is achieved through creating stable limit cycles in the closed-loop system. For this …

Generation of stable limit cycles in nonlinear sandwich systems with dead-zone nonlinearity and input saturation

M Azhdari, T Binazadeh - Journal of the Franklin Institute, 2021 - Elsevier
This paper is concerned with the problem of generating stable limit cycles for a class of
nonlinear sandwich systems with the sandwiched dead-zone nonlinearity. In this study, the …

Robust adaptive limit cycle controller design for nonlinear time-delay systems

AR Hakimi, T Binazadeh - Circuits, Systems, and Signal Processing, 2022 - Springer
This paper studies the adaptive limit cycle controller design for shaping stable output
oscillations through creating stable limit cycles. For this purpose, a class of time-delay …

Generation of stable oscillations in uncertain nonlinear systems with matched and unmatched uncertainties

AR Hakimi, T Binazadeh - International Journal of Control, 2019 - Taylor & Francis
In this paper, a robust limit cycle control technique is proposed for generation of stable
oscillations in a class of uncertain nonlinear systems with both matched and unmatched …

Robust adaptive finite‐time control design for the generation of stable oscillations in the strict‐feedback form non‐linear systems with input dead‐zone non‐linearity

M Azhdari, T Binazadeh - IET Control Theory & Applications, 2022 - Wiley Online Library
This paper presents a novel finite‐time limit cycle control for a class of strict‐feedback non‐
linear systems with input dead‐zone non‐linearity, parameter uncertainties, and unknown …

Sustained oscillations in MIMO nonlinear systems through limit cycle shaping

AR Hakimi, T Binazadeh - International Journal of Robust and …, 2020 - Wiley Online Library
This paper studies on generating periodic behaviors through shaping stable limit cycles in
multiple‐input‐multiple‐output nonlinear systems. For this purpose, first, limit cycles are …

Limit cycle synchronization of nonlinear systems with matched and unmatched uncertainties based on finite-time disturbance observer

AR Hakimi, T Binazadeh - Circuits, Systems, and Signal Processing, 2019 - Springer
This paper focuses on the limit cycle control of uncertain nonlinear systems in the presence
of both matched and unmatched uncertainties. For this purpose, first, a virtual nonlinear …