Adaptive backstepping control for fractional order systems with input saturation

DOI10.1016/j.jfranklin.2016.12.030zbMath1398.93166OpenAlexW2579232153MaRDI QIDQ1796588

Dian Sheng, Songsong Cheng, Jianmei Shuai, Yiheng Wei

Publication date: 17 October 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.12.030

zbMATH Keywords

stabilizationuncertaintiesinput saturationfractional order systemsadaptive backstepping control

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Adaptive control/observation systems (93C40) Adaptive or robust stabilization (93D21) Fractional ordinary differential equations (34A08)

Related Items (31)

COMPOSITE NEURAL NETWORK LEARNING FROM FRACTIONAL BACKSTEPPING ⋮ Asymptotical stabilization of the nonlinear upper triangular fractional-order systems ⋮ Stabilizing region of \(PD^\mu\) controller for fractional order system with general interval uncertainties and an interval delay ⋮ Backstepping control for fractional discrete-time systems ⋮ Dual boundary conditional integral backstepping control of a twin rotor MIMO system ⋮ Adaptive observer-based control of arbitrarily switched fractional-order uncertain nonlinear system subject to input nonlinearities and asymmetric output constraints ⋮ Saturated delayed impulsive effects for fractional order nonlinear system with piecewise Caputo derivative and its application ⋮ Lyapunov stability analysis for incommensurate nabla fractional order systems ⋮ Fractional-order adaptive neuro-fuzzy sliding mode \(H_\infty\) control for fuzzy singularly perturbed systems ⋮ Adaptive fixed-time control for Lorenz systems ⋮ Dynamical analysis and anti-oscillation-based adaptive control of the FO arch MEMS with optimality ⋮ Overcoming backstepping limitations via a novel MIMO non-affine-in-control convex optimization technique ⋮ Fractional-order command filtered backstepping sliding mode control with fractional-order nonlinear disturbance observer for nonlinear systems ⋮ Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems ⋮ Mittag-Leffler stabilization of fractional-order nonlinear systems with unknown control coefficients ⋮ Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state ⋮ Decentralized adaptive neural control for interconnected stochastic nonlinear delay-time systems with asymmetric saturation actuators and output constraints ⋮ Adaptive neural network control of a class of fractional order uncertain nonlinear MIMO systems with input constraints ⋮ Adaptive hybrid fuzzy output feedback control for fractional-order nonlinear systems with time-varying delays and input saturation ⋮ Anti-oscillation and chaos control of the fractional-order brushless DC motor system via adaptive echo state networks ⋮ Approximation-based decentralized output-feedback control for uncertain stochastic interconnected nonlinear time-delay systems with input delay and asymmetric input saturation ⋮ Adaptive fault compensation control for nonlinear uncertain fractional-order systems: static and dynamic event generator approaches ⋮ ADAPTIVE BACKSTEPPING CONTROL OF UNCERTAIN FRACTIONAL ORDER SYSTEMS BY FUZZY APPROXIMATION APPROACH ⋮ Observer-based robust control for fractional-order nonlinear uncertain systems with input saturation and measurement quantization ⋮ Fractional order chattering-free robust adaptive backstepping control technique ⋮ Adaptive type-2 fuzzy backstepping control of uncertain fractional-order nonlinear systems with unknown dead-zone ⋮ Quantized adaptive tracking control for nonlinear systems with actuator backlash compensation ⋮ Observer-based fractional-order adaptive type-2 fuzzy backstepping control of uncertain nonlinear MIMO systems with unknown dead-zone ⋮ Approximation‐based adaptive fault compensation backstepping control of fractional‐order nonlinear systems: An output‐feedback scheme ⋮ Adaptive optimizing control for nonlinear synchronous generator system with uncertain disturbance ⋮ An adaptive fault-tolerant control scheme for a class of fractional-order systems with unknown input dead-zones

Cites Work

• Unnamed Item
• Adaptive fuzzy output-feedback control for output constrained nonlinear systems in the presence of input saturation
• The infinite state approach: origin and necessity
• Asymptotic pseudo-state stabilization of commensurate fractional-order nonlinear systems with additive disturbance
• Adaptive backstepping output feedback control for a class of nonlinear fractional order systems
• State variables and transients of fractional order differential systems
• Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation
• Adaptive stabilization of a class of uncertain switched nonlinear systems with backstepping control
• An extension of estimation of domain of attraction for fractional order linear system subject to saturation control
• Application of numerical inverse Laplace transform algorithms in fractional calculus
• Controllability of fractional-order partial neutral functional integrodifferential inclusions with infinite delay
• Stabilization of a class of nonlinear systems with actuator saturation via active disturbance rejection control
• Adaptive backstepping control of uncertain systems. Nonsmooth nonlinearities, interactions or time-variations
• Backstepping design for controlling electrohydraulic servos
• Robust resilient controllers synthesis for uncertain fractional-order large-scale interconnected system
• Decentralized adaptive neural output feedback control of a class of large-scale time-delay systems with input saturation
• Model-based predictive and backstepping controllers for a state coupled four-tank system with bounded control inputs: a comparative study
• State-feedback control for fractional-order nonlinear systems subject to input saturation
• Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems
• Indirect model reference adaptive control for a class of fractional order systems
• Lyapunov functions for fractional order systems
• Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems
• Robust stability and stabilization of fractional order interval systems with coupling relationships: the \(0<\alpha<1\) case
• Adaptive neural tracking control for stochastic nonlinear strict-feedback systems with unknown input saturation
• Subspace-based continuous-time identification of fractional order systems from non-uniformly sampled data
• Stability and Performance Analysis for Positive Fractional-Order Systems With Time-Varying Delays
• Backstepping Control Under Multi-Rate Sampling
• Diffusive representation of pseudo-differential time-operators
• Identification of Parameters of a Half-Order System
• Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $\alpha$: The $0≪\alpha≪1$ Case
• Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance
• Stability and Stabilization of Fractional-Order Linear Systems Subject to Input Saturation

This page was built for publication: Adaptive backstepping control for fractional order systems with input saturation