Backstepping control of nonlinear dynamical systems Using Lyapunov's stability theory, we establish that the Jul 6, 2024 · The Lyapunov stability theory offers the necessary framework for the development of modeling and control of any nonlinear dynamic systems. By mapping output value set onto the set of all real numbers, the constrained system is transformed into a new strict-feedback unconstrained system to employ the traditional backstepping control while simultaneously preventing the Jul 27, 2022 · In this paper, a robust backstepping controller is proposed for a class of nonlinear dynamic systems involving uncertain parameters and input quantization. These illustrate the main results of theory and applications of backstepping control of nonlinear control systems. Backstepping is used for output stabilization or tracking using feedback similarly to feedback linearization. Specifically, the logarithmic quantizer is employed to quantize the control signal prior to being Jun 1, 2018 · Backstepping control is one of the most commonly used methods to deal with nonlinear systems Bribiesca-Argomedo and Krstic (2015), Kanchanaharuthai and Mujjalinvimut (2018), Khalil (2002), Krstic et al. Dec 28, 2024 · This article proposes a kind of dual backstepping recursive sequences adaptive switching control mechanism. A dynamic model of coupled special nonlinear springs is established with uncertain parameters. Apr 24, 2023 · This article investigates a reinforcement learning-based optimal backstepping control strategy for strict-feedback nonlinear systems, which contain output constraints, external disturbances and uncertain unknown dynamics. (2018) where the design of a prediction based controller for linear systems with time varying input delays is proposed. With an introduced new Lyapunov-Krasovskii functional, we develop a novel control strategy. Various constraints are imposed on control inputs and state variables or their combinations. control to address adaptive fuzzy backstepping DSC for a class of non-linear systems and achieved good performance compared with the methods without DSC technique. Jun 5, 2019 · In this paper, a novel adaptive backstepping control scheme is proposed for a class of nonlinear systems with unknown disturbances. , 2020; Niu et al. To summarise the contribution of this study, we propose a back-stepping DSC control based on the ABLF to address time-varying output constraints for class of non-linear systems. Backstepping and Integrator backstepping control are few of the methods. This research work is motivated by both theoretical and practical challenges. Active control method via backstepping approach is a recursive procedure for the stabilization of a control system about an equilibrium in strict-feedback design form and the backstepping method is popularly used for the control of systems Purchase Backstepping Control of Nonlinear Dynamical Systems - 1st Edition. The system dynamics is transformed into a nonlinear feedback . In designing the controller, a Jul 14, 2020 · In book: Backstepping Control of Nonlinear Dynamical Systems (pp. Abstract Two novel predefined-time control algorithms for a nonlinear strict-feedback system are proposed in this short communication. Based on such a characteristic, that backstepping technique has been proposed originally in Kanellakopoulos, Kokotovic, and Morse (1991) to address the tracking control of nonlinear strict-feedback systems. 307-312. First, neural networks (NNs) are employed to approximate the unknown nonlinear dynamics, and an adaptive neural network (NN Jan 18, 2024 · In this article, we address the problem of achieving predefined-time control for a class of nonlinear dynamical systems with parameter uncertainties. The mathematical model of the gyroscope with output constraints is established. The constrained affine nonlinear system is transformed into a nonaffine May 26, 2023 · In this paper, adaptive backstepping control is investigated for coupled nonlinear springs. Aug 6, 2002 · A controller is proposed for the robust backstepping control of a class of general nonlinear systems using neural networks (NNs). , 2020; Li and Long, 2020; Braverman and Rodkina, 2020; Liu and Huang, 2020; Bin and Marconi, 2020 Jan 1, 2021 · Since the appearance of the deterministic chaos concept proposed by Poincaré (1890), Ruelle and Takens (1971), Devaney (1987) as a complex behavior that causes many patterns with strange vicissitudes to come from the internal structure of the dynamical system, the term chaos still remains difficult to define precisely in a scientific and rigorous way, despite the practice of the modern The reference book provides numerous simulations using MATLAB and circuit design. The system under consideration contains input delay and has unmeasurable and restricted states within predefined compact sets. , 2020; Lu et al. Its basic Sep 24, 2020 · In this article, the problem of backstepping-based adaptive neural control is discussed for nonlinear systems in strict-feedback form with full state restrictions and dynamical uncertainties. Backstepping Control of Nonlinear Dynamical Systems - Ebook written by Sundarapandian Vaidyanathan, Ahmad Taher Azar. To solve the problem of synthesis of a control system for a nonlinear dynamic plant, we propose the apply backstepping method whose essence follows. Its dynamical evolution laws are analyzed through phase diagrams, time histories and Lyapunov exponents. Jun 26, 2009 · The state feedback control problem is addressed for a class of nonlinear time-delay systems. A new adaptive disturbance approximation algorithm is proposed to estimate unknown compound disturbances, including external disturbances and system uncertainties. Print Book & E-Book. We introduce an adaptive predefined-time control algorithm based on integrator backstepping for n $$ n $$ th order nonlinear systems. Backstepping is a nonlinear control design tool for underactuated systems. Before describing the framework of nonlinear dynamic system modeling and control, the Lyapunov stability theory is introduced here. , Coron (2007, Section 12. The reference book provides numerous simulations using MATLAB and Mar 1, 2024 · The control objective of this paper is to construct a new optimal adaptive backstepping control approach for nonlinear systems (1) under deception attacks (2) via reinforcement, so that all the signals in the closed-loop system are semi-global bounded and the optimal controller is designed to save resources. Kokotovic, and others [1] [2] for designing stabilizing controls for a special class of nonlinear dynamical systems. The control design is achieved by introducing a hysteretic quantizer to avoid chattering and using backstepping technique. Download for offline reading, highlight, bookmark or take notes while you read Backstepping Control of Nonlinear Dynamical Systems. , 2005), where the control gain and the nonlinear function must be available Jan 1, 2021 · The control of time delayed systems has been studied nowadays in which the delays are considered in the inputs or in the states. Aug 15, 2020 · The reference book provides numerous simulations using MATLAB and circuit design. Jun 21, 2013 · In this paper, we study a general class of strict feedback nonlinear systems, where the input signal takes quantized values. However, the repeated Nov 11, 2016 · Adaptive Backstepping Control for a Class of Nonlinear Systems With Non-Triangular Structural Uncertainties Abstract: In this technical note, a robust adaptive control scheme is proposed based on backstepping techniques for a class of nonlinear systems with unknown parameters. To overcome this problem an FPI-based Model Reference Adaptive Backstepping Read online or download for free from Z-Library the Book: Backstepping Control of Nonlinear Dynamical Systems, Author: Sundarapandian Vaidyanathan; Ahmad Taher Azar Aug 15, 2020 · Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. The consideration of quantization is of practical importance, especially for networked control systems with limited communication bandwidth. Jan 1, 2021 · Active backstepping control is applied to control and synchronize the chaos in the hyperjerk system. These systems are built from subsystems that radiate out from an irreducible subsystem that can be stabilized using some other method. Adaptive backstepping control for multiple Euler-Lagrangian systems with independent dynamic communication. ISBN 9780128175828, 9780128175835 Jan 1, 2021 · In order to ensure stability, adaptation rules need to be derived from stability theorems such as Lyapunov Stability Theorem. The unknown structural uncertainties are approximated by using neural This book is devoted to new methods of control for complex dynamical systems and deals with nonlinear control systems having several degrees of freedom, subjected to unknown disturbances, and containing uncertain parameters. With the help of a backstepping method, we design a memoryless state feedback Jan 18, 2024 · In this article, we address the problem of achieving predefined-time control for a class of nonlinear dynamical systems with parameter uncertainties. R A Freeman and P V Kokotović, “Backstepping design of robust controllers for a class of nonlinear systems,” Proceedings of the IFAC Nonlinear Control Systems Design Symposium, Bordeanx, France, June 1992, pp. Jan 13, 2025 · First, the IGC model is represented as a complete second-order non-linear system without any linearization assumption, where the modeling error, unmodeled non-linearity, and external disturbance are unknown uncertainties. Apr 1, 2024 · SummaryIn this article, we address the problem of achieving predefined‐time control for a class of nonlinear dynamical systems with parameter uncertainties. Combined with the dynamic model, the non-linear system is transformed into a pseudo-feedback system. Sep 2, 2020 · Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. Using Lyapunov's stability theory, we establish that the Aug 19, 2020 · The reference book provides numerous simulations using MATLAB and circuit design. Backstepping controller, proposed in the beginning of 1990’s (Zhou and Wen, 2008) is one of the post popular Lyapunov based recursive control methods to provide stable behavior for nonlinear systems (Zhou and Wen, 2008; Sundarapandian and Ahmad, 2021; Krstic and Jan 1, 2021 · In the last few decades, various control methods have been developed for linear and nonlinear dynamical systems with specific control design goals such as local or global stabilization, output regulation, and synchronization in the control literature (Zhao et al. Since such dynamic system contains multiple state variables with differential relation, the backstepping technique is considered by making a virtual control Dec 11, 2024 · In this paper, the problem of adaptive optimized tracking control design is addressed for a class of nonlinear systems in strict-feedback form. Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. This method realizes the accuracy and efficiency stable tracking control of the parameterized uncertain nonlinear system. Oct 1, 2015 · The control objective for non-linear dynamic system is to determine a continuous feedback control system such that the output y can track a desired trajectory y d (t) while ensuring that all the closed-loop signals are bounded and the corresponding constraints are not violated. We introduce an adaptive predefined‐time Feb 25, 2024 · The work addresses the optimized tracking control problem by combining both reinforcement learning (RL) and backstepping technique for the canonical nonlinear unknown dynamic system. Aug 1, 2023 · A main characteristic of the strict-feedback system is that the nonlinear functions appear in systems in an unmatched manner. Dec 5, 2022 · In this article, the problem of adaptive backstepping finite-time tracking control is investigated for a class of strict-feedback nonlinear systems with unmodeled dynamics and dynamic disturbances. Apr 17, 2025 · Li Y, Yu K, Tong S. Automatica, 2024, 160: 111434 Article MathSciNet Google Scholar Jan 1, 2021 · In this work we will deal with the problem of optimal control by adaptive backstepping of the synchronization of chaotic nonlinear dynamical systems. (1995), in which the states are used as virtual control signals in control law design, and the virtual signals and their derivatives are required in each step of the design process. Mar 12, 2024 · In this paper, we propose a backstepping-based state-triggering control scheme, where the triggered states and triggered adaptive parameters are used for the whole control design. The latest techniques explored include 'active backstepping control', 'adaptive backstepping control', 'fuzzy backstepping control' and 'adaptive fuzzy backstepping control'. The Lyapunov function is Aug 30, 2021 · In this article, an optimized leader-following consensus control scheme is proposed for the nonlinear strict-feedback-dynamic multi-agent system by learning from the controlling idea of optimized backstepping technique, which designs the virtual and actual controls of backstepping to be the optimized solution of corresponding subsystems so that the entire backstepping control is optimized Sep 1, 2020 · Except for the aforementioned constrained methods, inspired by the concept of Barrier Certificates in Prajna and Jadbabaie (2004), a barrier function-based backstepping control scheme is proposed for a class of nonlinear systems in the Brunovsky normal form (Ngo et al. In control theory, backstepping is a technique developed circa 1990 by Petar V. Find the latest published papers in Backstepping Control of Nonlinear Dynamical Systems + Top authors, related hot topics, the most cited papers, and related journals The reference book provides numerous simulations using MATLAB and circuit design. 291-345) Publisher: Elsevier; Authors: The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L Aug 15, 2020 · Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. A tuning scheme is proposed wh Jan 1, 2021 · However, finding a suitable control Lyapunov function is a challenging problem for nonlinear control systems. By using the adaptive control, backstepping technique, and finite-time stability theory, an adaptive Block Backstepping Design of Nonlinear State Feedback Control Law for Underactuated Mechanical Systems 作者： Shubhobrata Rudra,Ranjit Kumar Barai,Madhubanti Maitra EISBN： 9789811019562 Jun 20, 2014 · In this paper, nonlinear mapping (NM)-based backstepping control design is presented for a class of strict-feedback nonlinear systems with output constraint. The backstepping control method is a recursive design procedure that links the choice Aug 6, 2002 · A controller is proposed for the robust backstepping control of a class of general nonlinear systems using neural networks (NNs). Oct 8, 2015 · The barrier Lyapunov function (BLF) and its variants such as the asymmetric barrier Lyapunov function (ABLF) combined with backstepping technique have recently been employed to handle constraints for a class of non-linear systems. Jul 9, 2024 · An adaptive second-order backstepping control algorithm is proposed for a kind of two degrees of freedom (2DoF) underactuated systems. We consider a stabilization problem for nonlinear uncertain systems via adaptive backstepping approach. The uncertain structure is parameterized reconstructed. Read this book using Google Play Books app on your PC, android, iOS devices. org Feb 14, 2021 · The International Journal of Robust and Nonlinear Control promotes development of analysis and design techniques for uncertain linear and nonlinear systems. The method augments the (virtual) controls as states during each recursive step and achieves the uniformly asymptotically stability. Consider the following nonlinear dynamical system The Backstepping controller is based on a control approach that applies to a special type of nonlinear systems. It is supposed that the upper bounds of the external disturbances and the virtual control coefficients are unknown. Aug 15, 2018 · Te backstepping control technique is a recursive design procedure developed for designing stabilizing controls for a special class of nonlinear dynamical systems built from subsystems. A tuning scheme is proposed wh Sep 1, 2020 · Except for the aforementioned constrained methods, inspired by the concept of Barrier Certificates in Prajna and Jadbabaie (2004), a barrier function-based backstepping control scheme is proposed for a class of nonlinear systems in the Brunovsky normal form (Ngo et al. g. A guideline is derived to select the Feb 11, 2025 · This paper presents an improved command-filtered backstepping control strategy for a class of multisource-disturbed nonlinear systems based on an active-uncertainty-estimation-and-compensation approa Backstepping control of nonlinear dynamical systems | WorldCat. (). The combination of the Lyapunov theory and backstepping control guarantees the stability of the closed-loop system as well as improves its dynamic performance. Some examples of controllers implemented for the stabilization of time delayed systems are found, for example, in Bresch-Pietri et al. The conventional adaptive approaches for nonlinear systems’ control use Lyapunov’s second method that need full state estimation. The proposed scheme accomplishes the tracking control task well, especially in applications with limited bandwidth and energy. The time delays appear in all state variables of the nonlinear system, which brings a challenging issue for controller design. A modified finite-time dynamic signal is first introduced to dominate the dynamic disturbance. First, a decoupled scheme is utilized to separate uncertain structure from the nonlinear system. The controller is designed by combining adaptive and backstepping methods. Non-linear systems use specific theories and methods to ensure stability without regard to the inner dynamics of the system. Jul 21, 2023 · This paper proposes an accelerated adaptive backstepping control scheme for a micro-electro-mechanical systems (MEMS) triaxial gyroscope, which has complicated nonlinear behaviors. Backstepping control encompasses varied aspects of mechanical engineering and has many different applications within the field. The latest techniques explored include ‘active backstepping control’, ‘adaptive backstepping control’, ‘fuzzy backstepping control’ and ‘adaptive fuzzy backstepping control’. 5) and the tutorial textbook by Krstic et al. Then two Jul 24, 2016 · Backstepping is a technique originally developed from 1990 for designing stabilizing controls for nonlinear dynamical systems, see, e. The method consists in partitioning the system into a set of nested subsystems in descending order. A dynamic backstepping method is proposed to design controllers for nonlinear systems in the pure-feedback form, which avoids the implicit algebraic equations in the traditional backstepping method. A tuning scheme is proposed wh Apr 23, 2015 · The problem of robust stabilization is considered for a class of nonlinear systems in the presence of structure uncertainties, external disturbances, and unknown time-varying virtual control coefficients. vepi zrtc xqzpj eswjbg yfb jyasr zrrwn kxtvjh vnvt bppjv