A finite-time 3D guidance law based on fixed-time convergence disturbance observer
TL;DR: A relative Line-of-Sight (LOS) velocity based finite-time three-dimensional guidance law design framework is presented, and the application of fixed-time convergence disturbance observer in this framework is discussed.
About: This article is published in Chinese Journal of Aeronautics.The article was published on 2020-04-01 and is currently open access. It has received 12 citations till now. The article focuses on the topics: Guidance system & Lyapunov function.
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TL;DR: In this paper, the development and classification of hypersonic vehicles around the world are summarized, and the geometric configuration and mission profile of typical air-breathing H-HV are given.
24Â citations
TL;DR: In this article , the development and classification of hypersonic vehicles around the world are summarized, and the geometric configuration and mission profile of typical air-breathing H-HV are given.
24Â citations
TL;DR: The main feature of the proposed guidance law is to guarantee the Line-of-Sight angles to converge to small neighborhoods of the desired values at the interception time, which significantly reduces the overload magnitudes.
13Â citations
TL;DR: In this paper , a time varying sliding mode control methodology is developed based on a time base generator function to guarantee the Line-of-Sight (LOS) angles to converge to small neighborhoods of the desired values at the interception time.
9Â citations
14 Apr 2022
TL;DR: In this article , a backstepping-based parallel approaching guidance method with nonlinear disturbance observer (NDO) technique and event-triggered (ET) mechanism is designed to achieve a straight ballistic trajectory of missile and reduce the update frequency of the missile normal acceleration for the interception of maneuvering target.
Abstract: In order to achieve a straight ballistic trajectory of missile and reduce the update frequency of the missile normal acceleration for the interception of maneuvering target, a backstepping-based parallel approaching guidance method is designed with nonlinear disturbance observer (NDO) technique and event-triggered (ET) mechanism in this paper. In order to suppress the adverse effect of target maneuver, the NDO is designed to estimate the target maneuvering acceleration. Then, the NDO-based backstepping method is used to obtain the normal acceleration of missile and realize the parallel approaching guidance. In order to reduce the update frequency of missile normal acceleration, the ET mechanism is employed in the parallel approaching guidance method. If the missile trajectory is relatively straight, the normal acceleration of missile remains unchanged. On the contrary, if the missile trajectory is not straight, the normal acceleration of missile is updated to make the missile trajectory straight. In this way, the ET-based parallel approaching guidance can be obtained. Furthermore, a determined method for the initial missile flight-path angle is proposed to keep the normal acceleration of missile at zero in the initial stage of interception. Besides, Lyapunov stability analysis method is used to prove that all signals in the closed-loop guidance system are uniformly ultimately bounded. Finally, simulation results show the effectiveness of the proposed guidance method.
3Â citations
References
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TL;DR: This survey gives a systematic and comprehensive tutorial and summary on the existing disturbance/uncertainty estimation and attenuation techniques, most notably, DOBC, active disturbance rejection control, disturbance accommodation control, and composite hierarchical antidisturbance control.
Abstract: Disturbance-observer-based control (DOBC) and related methods have been researched and applied in various industrial sectors in the last four decades. This survey, at first time, gives a systematic and comprehensive tutorial and summary on the existing disturbance/uncertainty estimation and attenuation techniques, most notably, DOBC, active disturbance rejection control, disturbance accommodation control, and composite hierarchical antidisturbance control. In all of these methods, disturbance and uncertainty are, in general, lumped together, and an observation mechanism is employed to estimate the total disturbance. This paper first reviews a number of widely used linear and nonlinear disturbance/uncertainty estimation techniques and then discusses and compares various compensation techniques and the procedures of integrating disturbance/uncertainty compensation with a (predesigned) linear/nonlinear controller. It also provides concise tutorials of the main methods in this area with clear descriptions of their features. The application of this group of methods in various industrial sections is reviewed, with emphasis on the commercialization of some algorithms. The survey is ended with the discussion of future directions.
1,849Â citations
Book•
01 Jun 2013
TL;DR: The sliding mode control and observation (SOMO) approach has proven to be effective in dealing with complex dynamical systems affected by disturbances, uncertainties and unmodeled dynamics as discussed by the authors.
Abstract: The sliding mode control methodology has proven effective in dealing with complex dynamical systems affected by disturbances, uncertainties and unmodeled dynamics. Robust control technology based on this methodology has been applied to many real-world problems, especially in the areas of aerospace control, electric power systems, electromechanical systems, and robotics. Sliding Mode Control and Observation represents the first textbook that starts with classical sliding mode control techniques and progresses toward newly developed higher-order sliding mode control and observation algorithms and their applications.The present volume addresses a range of sliding mode control issues, including:*Conventional sliding mode controller and observer design*Second-order sliding mode controllers and differentiators*Frequency domain analysis of conventional and second-order sliding mode controllers*Higher-order sliding mode controllers and differentiators*Higher-order sliding mode observers *Sliding mode disturbance observer based control *Numerous applications, including reusable launch vehicle and satellite formation control, blood glucose regulation, and car steering control are used as case studiesSliding Mode Control and Observation is aimed at graduate students with a basic knowledge of classical control theory and some knowledge of state-space methods and nonlinear systems, while being of interest to a wider audience of graduate students in electrical/mechanical/aerospace engineering and applied mathematics, as well as researchers in electrical, computer, chemical, civil, mechanical, aeronautical, and industrial engineering, applied mathematicians, control engineers, and physicists. Sliding Mode Control and Observation provides the necessary tools for graduate students, researchers and engineers to robustly control complex and uncertain nonlinear dynamical systems. Exercises provided at the end of each chapter make this an ideal text for an advanced coursetaught in control theory.
1,774Â citations
TL;DR: A result relating regularity properties of a homogeneous function to its degree of homogeneity and the local behavior of the dilation near the origin makes it possible to extend previous results on homogeneous systems to the geometric framework.
Abstract: This paper studies properties of homogeneous systems in a geometric, coordinate-free setting. A key contribution of this paper is a result relating regularity properties of a homogeneous function to its degree of homogeneity and the local behavior of the dilation near the origin. This result makes it possible to extend previous results on homogeneous systems to the geometric framework. As an application of our results, we consider finite-time stability of homogeneous systems. The main result that links homogeneity and finite-time stability is that a homogeneous system is finite-time stable if and only if it is asymptotically stable and has a negative degree of homogeneity. We also show that the assumption of homogeneity leads to stronger properties for finite-time stable systems.
1,323Â citations
Book•
01 Jan 2001
TL;DR: Differential equations and differential inclusions of strict Liapunov functions have been studied in this paper for time invariant systems and time varying systems, as well as generalized derivatives.
Abstract: Differential equations.- Time invariant systems.- Time varying systems.- Differential inclusions.- Additional properties of strict Liapunov functions.- Monotonicity and generalized derivatives.
888Â citations
TL;DR: In this article, a construction of a homogeneous Lyapunov function P associated with a system of differential equations J = f(x), x ~ R ~ (n > 1), under the hypotheses: (1) f ~ C(R n, ~) vanishes at x = 0 and is homogeneous; (2) the zero solution of this system is locally asymptotically stable.
720Â citations