Compensation of Time-Varying Input and State Delays for Nonlinear Systems
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Summary
Based on a time-varying infinitedimensional backstepping transformation that is introduced, a globally stabilizing controller is designed for nonlinear strict-feedback systems with time- varying delays on the virtual inputs.
- Type
- article
- Published
- 2012-01-01
- Cited by
- 168
- References
- 46
- OpenAlex
- https://openalex.org/W2012404290
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:5271615
Keywords
Backstepping, Control theory (sociology), Integrator, Nonlinear system, Compensation (psychology)
References
- A controller to overcome dead time
- Delay effects on stability
- Robust Control of Time-delay Systems
- Introduction to Functional Differential Equations
- Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems
- Forward Completeness, Unboundedness Observability, and their Lyapunov Characterizations
- Remote Stabilization Via Communication Networks With a Distributed Control Law
- Delay-Adaptive Predictor Feedback for Systems With Unknown Long Actuator Delay
- An adaptive Smith-controller for time-delay systems with relative degree n*≤2
- Time-delay systems: an overview of some recent advances and open problems
- The Non-uniform in Time Small-Gain Theorem for a Wide Class of Control Systems with Outputs
- Generating positive and stable solutions through delayed state feedback
- Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch
- Lyapunov Stability of Linear Predictor Feedback for Time-Varying Input Delay
- Linear systems with delayed controls: A reduction
- Stability of Traffic Flow Behavior with Distributed Delays Modeling the Memory Effects of the Drivers
- Recursive predictor design for state and output feedback controllers for linear time delay systems
- Business Dynamics—Systems Thinking and Modeling for a Complex World
- Adaptive trajectory tracking despite unknown input delay and plant parameters
- Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift
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- Global output feedback stabilisation of stochastic high-order feedforward nonlinear systems with time-delay
- Predictor‐based tracking for neuromuscular electrical stimulation
- Adaptive sinusoidal disturbance cancellation for unknown LTI systems despite input delay
- Interval observer approach to output stabilization of time-varying input delay systems
- Compensation of time‐varying input delay for discrete‐time nonlinear systems
- Time- and State-Dependent Input Delay-Compensated Bang-Bang Control of a Screw Extruder for 3D Printing
- On the Discrete Adaptive Posicast Controller
- Output feedback regulation of a chain of integrators with unknown time-varying delays in states and input
- Universal stabilisation design for a class of non-linear systems with time-varying input delays
- Partial Spectrum Assignment for Systems with Delayed State Feedback
- Control of discrete-time nonlinear systems actuated through counter-convecting transport dynamics
- Stabilization in the Sample-and-Hold Sense of Nonlinear Retarded Systems
- Uniform global asymptotic stability for nonlinear systems under input delays and sampling of the controls
- Simple Cascade Observer for a Class of Nonlinear Systems With Long Output Delays
- Prediction-Based Stabilization of Linear Systems Subject to Input-Dependent Input Delay of Integral-Type
- Output stabilization of time-varying input delay systems using interval observation technique
- Robustness to time- and state-dependent delay perturbations in networked nonlinear control systems
- Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems
- Nonlinear stabilization in infinite dimension
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