Stabilization of unstable fixed points of chaotic fractional order systems by a state fractional PI controller
From MaRDI portal
Publication:522740
DOI10.3166/ejc.14.247-257zbMath1360.93624OpenAlexW2018090532MaRDI QIDQ522740
Mohammad Haeri, Mohammad Saleh Tavazoei
Publication date: 19 April 2017
Published in: European Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3166/ejc.14.247-257
Adaptive or robust stabilization (93D21) Pole and zero placement problems (93B55) Fractional ordinary differential equations (34A08)
Related Items
On the synchronization and stabilization of fractional-order chaotic systems: recent advances and future perspectives ⋮ Generalized Algorithm for Estimating Non‐Commensurate Fractional‐Order Models ⋮ Stability analysis for a class of fractional-order nonlinear systems with time-varying delays ⋮ Asymptotic stability and stabilization of a class of nonautonomous fractional order systems ⋮ Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems ⋮ Stability analysis of fractional differential system with Riemann-Liouville derivative ⋮ Analysis of a fractional order Van der Pol-like oscillator via describing function method ⋮ Sufficient conditions for asymptotic stability and stabilization of autonomous fractional order systems ⋮ On the control of chaos via fractional delayed feedback method ⋮ Finite-time stability analysis of fractional differential systems with variable coefficients ⋮ A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay ⋮ Generalization of order distribution concept use in the fractional order system identification ⋮ Tuning algorithms for fractional order internal model controllers for time delay processes ⋮ $\alpha$-Differentiable functions in complex plane ⋮ Fractional derivatives in complex planes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The evolution of chaotic dynamics for fractional unified system
- Chaos control via a simple fractional-order controller
- A necessary condition for double scroll attractor existence in fractional-order systems
- Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system
- Stabilization using fractional-order PI and PID controllers
- Stability analysis of linear fractional differential system with multiple time delays
- New tuning rules for fractional PI\(^\alpha\) controllers
- Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
- Global existence theory and chaos control of fractional differential equations
- Designing synchronization schemes for chaotic fractional-order unified systems
- Finite time stability analysis of \(PD^\alpha\) fractional control of robotic time-delay systems
- Robust controllability of interval fractional order linear time invariant systems
- Fractional order control strategies for power electronic buck converters
- PID control of a chaotic system: An application to an epidemiological model
- Chaos control. Theory and applications
- Chaos in fractional-order autonomous nonlinear systems.
- State-space representation for fractional order controllers
- Coprime factorizations and stability of fractional differential systems
- Chaos in Chen's system with a fractional order
- Stabilization of generalized fractional order chaotic systems using state feedback control
- Chaos in the fractional order Chen system and its control
- Control of chaos: methods and applications. I: Methods
- A predictor-corrector approach for the numerical solution of fractional differential equations
- A suggestion of fractional-order controller for flexible spacecraft attitude control
- Fractional differentiation in passive vibration control
- The CRONE control of resonant plants: application to a flexible transmission
- Synchronization of chaotic systems based on PI observer design
- Chaos control and synchronization in a fractional neuron network system
- Chaotic dynamics and synchronization of fractional-order Arneodo's systems
- On fractional \(PI^{\lambda }\) controllers: Some tuning rules for robustness to plant uncertainties
- Robust speed control of a low damped electromechanical system based on CRONE control: application to a four mass experimental test bench
- Fractional-order control of a hexapod robot
- Chaos in the Newton-Leipnik system with fractional order
- Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control
- Stability properties for generalized fractional differential systems
- Controlling chaos
- Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
- State-Space Self-Tuning Control for Stochastic Fractional-Order Chaotic Systems
- Linear Controllers for the Stabilization of Unknown Steady States of Chaotic Systems
- BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
- A NEW CHAOTIC ATTRACTOR COINED
- Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
- Stabilizing unstable equilibrium points of a class of chaotic systems using a state PI regulator
- GENERATING MULTISCROLL CHAOTIC ATTRACTORS: THEORIES, METHODS AND APPLICATIONS
