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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

Neural Networks-Based Adaptive Finite-Time Fault-Tolerant Control for a Class of Strict-Feedback Switched Nonlinear Systems

TL;DR: It is proved that under the presented control strategy, the system output tracks the reference signal in the sense of finite-time stability, the first time to handle the fault tolerant problem for switched system while the finite- time stability is also necessary.
Journal ArticleDOI

Neural Networks-Based Adaptive Control for Nonlinear State Constrained Systems With Input Delay

TL;DR: An appropriate barrier Lyapunov function and an opportune backstepping design are used to avoid the constraint violation, and the Pade approximation and an intermediate variable are employed to eliminate the effect of the input delay.
Journal ArticleDOI

Adaptive Fuzzy Output Feedback Control for a Class of Nonlinear Systems With Full State Constraints

TL;DR: It is proved that the system output is driven to track the reference signal to a bounded compact set, all the signals in the closed-loop system are guaranteed to be bounded, and all the states do not transgress their constrained sets.
Journal ArticleDOI

Finite-Time Adaptive Fuzzy Control for Nonlinear Systems With Full State Constraints

TL;DR: An adaptive fuzzy controller is constructed to address the finite-time tracking control problem for a class of strict-feedback nonlinear systems, where the full state constraints are strictly required in the systems.
Journal ArticleDOI

Adaptive Fuzzy Control With High-Order Barrier Lyapunov Functions for High-Order Uncertain Nonlinear Systems With Full-State Constraints

TL;DR: A high-order tan-type barrier Lyapunov function (BLF) is constructed to handle the full-state constraints of the control systems and by the BLF and combining a backstepping design technique, an adding a power integrator, and a fuzzy control, the proposed approach can control high- order uncertain nonlinear system with full- state constraints.
References
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Journal ArticleDOI

Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems

TL;DR: This paper addresses the adaptive fuzzy tracking control problem for a class of uncertain nonlinear MIMO systems with the external disturbances by using Lyapunov analysis method and proves that all the signals in the closed-loop system are guaranteed to be bounded and the system outputs track the reference signals to a bounded compact set.
Journal ArticleDOI

A Novel Dual Iterative $Q$ -Learning Method for Optimal Battery Management in Smart Residential Environments

TL;DR: The convergence property of the iterative Q-learning method for the optimal battery management and control problem is proven for the first time, which guarantees that both the iteratives Q-function and the iteratively control law reach the optimum.
Journal ArticleDOI

Adaptive Output Feedback Control of Uncertain Nonlinear Systems With Hysteresis Nonlinearity

TL;DR: It is shown that the proposed controller not only guarantees asymptotic stability, but also transient performance.
Journal ArticleDOI

Fuzzy Adaptive Control With State Observer for a Class of Nonlinear Discrete-Time Systems With Input Constraint

TL;DR: It is proved that all the signals of the closed-loop system are the semiglobal uniformly ultimately bounded, and the tracking error is made within a small neighborhood around zero.
Journal ArticleDOI

Observer-Based Adaptive Fuzzy Control for a Class of Nonlinear Delayed Systems

TL;DR: This paper considers the problem of observer-based adaptive fuzzy control for a class of nonlinear time-delay systems in nonstrict-feedback form, which includes the nonlinear strict-feedbacks as a special case.
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