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Journal ArticleDOI

Adaptive Controller Design-Based ABLF for a Class of Nonlinear Time-Varying State Constraint Systems

TLDR
The time-varying asymmetric barrier Lyapunov functions (TABLFs) are employed in each step of the backsstepping design and a novel control TABLF scheme is established to ensure the asymptotic output tracking performance.
Abstract
In this paper, we address an adaptive control problem for a class of nonlinear strict-feedback systems with uncertain parameter. The full states of the systems are constrained in the bounded sets and the boundaries of sets are compelled in the asymmetric time-varying regions, i.e., the full state time-varying constraints are considered here. This is for the first time to control such a class of systems. To prevent that the constraints are overstepped, the time-varying asymmetric barrier Lyapunov functions (TABLFs) are employed in each step of the backsstepping design and we also establish a novel control TABLF scheme to ensure the asymptotic output tracking performance. The performances of the adaptive TABLF-based control are verified by a simulation example.

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Citations
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Journal ArticleDOI

Distributed Continuous-Time Optimization With Scalable Adaptive Event-Based Mechanisms

TL;DR: This paper investigates the distributed continuous-time optimization problem, which consists of a group of agents with variant local cost functions, and introduces an adaptive consensus-based algorithm with event triggering communications that can drive the participating agents to minimize the global cost function and exclude the Zeno behavior.
Journal ArticleDOI

Unknown Dynamics Estimator-Based Output-Feedback Control for Nonlinear Pure-Feedback Systems

TL;DR: The stability of the closed-loop control system, including the unknown dynamics estimator and the feedback control is proved, and an alternative, simple approximation-free control method for pure-feedback systems, where only the system output needs to be measured.
Journal ArticleDOI

Smooth Transition in Communication for Swarm Control With Formation Change

TL;DR: A smooth transition in communication for swarm control with formation change that guarantees the intelligent units could be connected in the communication, which can ensure the communication security of swarm system during the process of communication topology changing.
Journal ArticleDOI

Quasi-Synchronization in Heterogeneous Harmonic Oscillators With Continuous and Sampled Coupling

TL;DR: It is found that each follower oscillator can converge to a bounded region of the leader by adopting either a continuous-time protocol or sampled-data protocol, and the upper bound of the region is solved for networked heterogeneous harmonic oscillators.
Journal ArticleDOI

Adaptive Asymptotic Neural Network Control of Nonlinear Systems With Unknown Actuator Quantization

TL;DR: It is shown that the proposed algorithm ensures that all the signals in the closed-loop system are ultimately bounded and an asymptotic tracking error is obtained by means of introducing Barbalat’s lemma to the proposed adaptive law.
References
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Journal ArticleDOI

Barrier Lyapunov Functions for the control of output-constrained nonlinear systems

TL;DR: This paper presents control designs for single-input single-output (SISO) nonlinear systems in strict feedback form with an output constraint, and explores the use of an Asymmetric Barrier Lyapunov Function as a generalized approach that relaxes the requirements on the initial conditions.
Journal ArticleDOI

Systematic design of adaptive controllers for feedback linearizable systems

TL;DR: A systematic procedure for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems is developed, which substantially enlarges the class of non linear systems with unknown parameters for which global stabilization can be achieved.
Proceedings ArticleDOI

Systematic Design of Adaptive Controllers for Feedback Linearizable Systems

TL;DR: In this paper, a systematic procedure is developed for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems, which are transformable into the so-called pure-feedback form.
Journal ArticleDOI

Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints

TL;DR: The auxiliary design system is introduced to analyze the effect of input constraints, and its states are used to adaptive tracking control design, and the closed-loop semi-global uniformly ultimate bounded stability is achieved via Lyapunov synthesis.
Journal ArticleDOI

Adaptive Neural Control for Output Feedback Nonlinear Systems Using a Barrier Lyapunov Function

TL;DR: A barrier Lyapunov function (BLF) is introduced to address two open and challenging problems in the neuro-control area: for any initial compact set, how to determine a priori the compact superset on which NN approximation is valid; and how to ensure that the arguments of the unknown functions remain within the specified compact supersets.
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