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81
Optimization Design and Trajectory Error Compensation of a Facade-Adaptive Wall-Climbing Robot
Published 2023-01-01“…In order to improve the trajectory tracking accuracy of the wall-climbing robot, the kinematic model of the wall-climbing robot is simplified, a velocity compensation controller is designed, and the stability of the controller is proved by introducing the Lyapunov equation. Through experiments, the controller designed in this paper is compared with the conventional controller to verify the effectiveness and superiority of the controller. …”
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82
Multi-Mode Estimation for Small Fixed Wing Unmanned Aerial Vehicle Localization Based on a Linear Matrix Inequality Approach
Published 2017-04-01“…The observer gain might be chosen by solving a Lyapunov equation by means of a LMI algorithm. Convergence is achieved by utilizing the linear matrix inequality (LMI), based on Lyapunov stability which keeps the dynamic estimation error bounded by selecting the observer gain matrix (L). …”
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83
Double-hierarchical fuzzy exponential convergence law fractional-order sliding mode control for PMSM drive control in EV
Published 2023-11-01“…The stability of the F-CFSMC is proved to be derived using the Lyapunov equation. The F-CFSMC is applicable to PMSMs with different parameters. …”
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84
A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs
Published 2022-10-01“…Meanwhile, a composite sliding mode surface is constructed based on the Lyapunov equation, such that the system stability can be also guaranteed. …”
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85
Fast Stability of New Power System Based on a PMU Gradient Dynamic Deviation Method
Published 2024-01-01“…The diagonal matrix is obtained by solving the Lyapunov equation, and the positive definiteness of the matrix is determined to judge the system stability. …”
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86
RGB-D SLAM based on quadrotor platform
Published 2022“…Meanwhile, it designs a flight controller for geometric control in SE(3) space, and the convergence of partial control theory is proved by Lyapunov equation. Finally, in order to verify the above improvements, the thesis conducts experiments of feature extraction improvement, feature tracking improvement, static initialization and indoor real-time localization, respectively. …”
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Thesis-Master by Coursework -
87
Frequency interval balanced truncation of discrete-time bilinear systems
Published 2016-12-01“…These gramians are the solution to a pair of new generalized Lyapunov equations. The conditions for solvability of these new generalized Lyapunov equations are derived and a numerical solution method for solving these generalized Lyapunov equations is presented. …”
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88
Model order reduction of linear time invariant systems
Published 2008-05-01“…To recognise the weak system part, Lyapunov equations are used. Thus, this paper introduces efficient solutions of the Lyapunov equations for port to port subsystems.…”
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89
Prescribed-time control for spacecraft formation flying with uncertainties and disturbances
Published 2024-01-01“…Second, with the aid of some key properties of a class of parametric Lyapunov equations, novel prescribed-time control laws are designed. …”
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90
Generalized Multiscale Finite Element Method and Balanced Truncation for Parameter-Dependent Parabolic Problems
Published 2023-12-01“…Based upon the generalized multiscale simulation on the coarse scale, the balanced truncation is applied to solve its Lyapunov equations on the reduced scale for further savings while ensuring high accuracy. …”
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91
VIBRATION RESPONSE ANALYSIS OF FIVE-DEGREE-FREEDOM VEHICLE WITH STOCHASTIC STRUCTURAL PARAMETERS
Published 2015-01-01“…Road irregularity is considered to be a white noise process to establish the mechanical model,the nonlinear vehicle system was linearized by the energy difference method,a stationary covariance matrix for the random vibration responses was obtained by solving the Lyapunov equations,and the stable equivalent linear system parameters of vehicle were gained through iteration. …”
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92
Mean-variance receding horizon control for discrete time linear stochastic systems
Published 2008“…Subject to a mean square stabilizability condition, the receding horizon objective can be obtained by solving a system of Lyapunov equations. An algorithm is proposed for computing the unconstrained optimal control law, which is the solution of a pair of coupled algebraic Riccati equations, and conditions are given for its convergence. …”
Journal article -
93
Model and Controller Order Reduction for Infinite Dimensional Systems
Published 2010-05-01“…We can connect the system (A, B, C) with its reciprocal system via the solutions of the Lyapunov equations. The realization of the reciprocal system is reduced by balanced truncation. …”
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94
Implementation and Performance Analysis of Kalman Filters with Consistency Validation
Published 2023-01-01“…A wide spectrum of content is covered from theoretical to implementation aspects, where the DKF and CKF along with the theoretical error covariance check based on Riccati and Lyapunov equations are involved. Consistency check of performance between discrete and continuous Kalman filters enables readers to assure correctness on implementing and coding for the algorithm. …”
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95
Universal simplified spectral models and closed form solutions to the wind-induced responses for high-rise structures
Published 2021-06-01“…The closed form solutions to the wind-induced responses are derived based on analog filter approach. The Lyapunov equations are also provided in the state-space for high-rise structures with and without extra damping devices. …”
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96
SDRE-Based Integral Sliding Mode Control for Wind Energy Conversion Systems
Published 2020-01-01“…More specifically, the nonlinear optimal feedback control has been obtained by solving continuous algebraic Ricatti and Lyapunov equations. Sliding variables are designed such that reaching phase is eliminated and stability is guaranteed. …”
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97
Sequential Covariance Intersection Fusion Robust Time-Varying Kalman Filters with Uncertainties of Noise Variances for Advanced Manufacturing
Published 2022-07-01“…Their robustness is proved based on the proposed Lyapunov equations approach. The concepts of the robust and actual accuracies are presented, and the robust accuracy relations are proved. …”
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98
Nearly Linear-Phase 2-D Recursive Digital Filters Design Using Balanced Realization Model Reduction
Published 2023-11-01“…The structured controllability and observability Gramians <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>P</mi><mi>s</mi></msup></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>Q</mi><mi>s</mi></msup></semantics></math></inline-formula> serve as the foundation for this technique. onal positive-definite matrices that satisfy 2-D Lyapunov equations. An efficient method is used to compute these Gramians by minimizing the traces of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>P</mi><mi>s</mi></msup></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>Q</mi><mi>s</mi></msup></semantics></math></inline-formula> under linear matrix inequality (LMI) constraints. …”
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