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For the purpose of easy implementation, the truncated predictor feedback (TPF) simplifies the predictor feedback by discarding the distributed term, and delay independent truncated predictor feedback further eliminates the delay-dependent exponential factor.
We resolve this challenge and we design the predictor feedback law that compensates the input delay.
Under an additional assumption, explicit nested predictor feedback controllers involving only 1-fold integrals are established.
Our design and analysis methodologies are based on the concepts of nonlinear predictor feedback and nonlinear infinite-dimensional backstepping.
We also design a predictor feedback law for systems with state delays that depend on delayed states.
For the basic predictor feedback, the availability of the Lyapunov function also allows us to prove robustness to small delay mismatch (in both positive and negative directions).
Similar(41)
In this paper we consider the delay variations as unknown and study robustness of nominal constant-delay predictor feedbacks under delay variations that depend on time and the state.
We resolve this challenge and introduce a PDE predictor-feedback control law that compensates the transport actuator dynamics.
Global asymptotic stability under the predictor-feedback control law is established assuming spatially uniform strictly positive transport velocity.
For nonlinear systems, we develop a PDE-based predictor-feedback control design, which compensates actuator dynamics, governed by a transport PDE with outlet boundary-value-dependent propagation velocity.
We focus on predictor-feedback design for nonlinear systems in the strict-feedback form, having a state-dependent state delay on the virtual input.
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