Numerical methods for the minimal non‐negative solution of the non‐symmetric coupled algebraic Riccati equation
Sign Up to like & getrecommendations! Published in 2019 at "Asian Journal of Control"
DOI: 10.1002/asjc.2205
Abstract: In this paper, base on the theory of the non‐symmetric algebraic Riccati equation and the coupled Riccati equation, we give the general form of the non‐symmetric coupled algebraic Riccati equation (NCARE). In order to effectively… read more here.
Keywords: non symmetric; riccati equation; coupled algebraic; algebraic riccati ... See more keywords
Vehicle sideslip angle estimation via a Riccati equation based nonlinear filter
Sign Up to like & getrecommendations! Published in 2017 at "Meccanica"
DOI: 10.1007/s11012-017-0658-5
Abstract: The vehicle sideslip angle is an important variable that contains information concerning the directional behaviour and stability of vehicles. As a consequence, it represents a very functional feedback for all the actual vehicle dynamics control… read more here.
Keywords: riccati equation; vehicle; vehicle sideslip; sideslip angle ... See more keywords
Solitons and other solutions to the nonlinear Bogoyavlenskii equations using the generalized Riccati equation mapping method
Sign Up to like & getrecommendations! Published in 2017 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-017-1195-0
Abstract: Recently, the authors of the article (Zahran and khater in Appl Math Model 40:1769–1775, 2016) have applied the modified extended tanh-function method to the nonlinear Bogoyavlenskii equations and found very few special solutions. In our… read more here.
Keywords: mapping method; equation mapping; bogoyavlenskii equations; generalized riccati ... See more keywords
Traveling wave solution of conformable fractional generalized reaction Duffing model by generalized projective Riccati equation method
Sign Up to like & getrecommendations! Published in 2018 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-018-1416-1
Abstract: The generalized projective Riccati equation method is proposed to establish exact solutions for generalized form of the reaction Duffing model in fractional sense namely, Khalil’s derivative. The compatible traveling wave transform converts the governing equation… read more here.
Keywords: riccati equation; equation method; generalized projective; projective riccati ... See more keywords
An Efficient Method for Solving Singularly Perturbed Riccati Equation with Fractional Order
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0474-6
Abstract: In this paper, we study a class of singularly perturbed Riccati equation with fractional order. We divide the problem into three problems. The first problem is the reduced problem when $$\epsilon =0$$ϵ=0. The second and… read more here.
Keywords: singularly perturbed; equation fractional; fractional order; perturbed riccati ... See more keywords
Pure-cubic optical soliton perturbation with full nonlinearity by unified Riccati equation expansion
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DOI: 10.1016/j.ijleo.2020.165445
Abstract: Abstract This paper recovers pure-cubic soliton solutions when chromatic dispersion, being negligibly small, is discarded and replenished with third-order dispersion. The governing model is considered with a few Hamiltonian perturbation terms that will sustain the… read more here.
Keywords: equation expansion; nonlinearity unified; pure cubic; soliton ... See more keywords
Standard solution to mixed H2/H∞ control with regular Riccati equation
Sign Up to like & getrecommendations! Published in 2020 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2020.0061
Abstract: In this study, the authors are concerned with the long-standing mixed H 2 / H ∞ problem for discrete linear systems. The main contribution is to derive the standard solution of the mixed H 2… read more here.
Keywords: riccati equation; problem; regular riccati; standard solution ... See more keywords
A PD-Type State-Dependent Riccati Equation With Iterative Learning Augmentation for Mechanical Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE/CAA Journal of Automatica Sinica"
DOI: 10.1109/jas.2022.105533
Abstract: This work proposes a novel proportional-derivative (PD)-type state-dependent Riccati equation (SDRE) approach with iterative learning control (ILC) augmentation. On the one hand, the PD-type control gains could adopt many useful available criteria and tools of… read more here.
Keywords: state dependent; mathrm mathrm; control; mathrm ... See more keywords
On Integration of a Matrix Riccati Equation
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DOI: 10.1134/s1990478920040110
Abstract: We execute the complete integration of the simplest matrix Riccati equation in the two- and three-dimensional cases for an arbitrary linear differential operator. The solution is constructed in terms of the Jordan form of an… read more here.
Keywords: matrix; riccati equation; integration matrix; matrix riccati ... See more keywords
Suboptimal control law for a near-space hypersonic vehicle based on Koopman operator and algebraic Riccati equation
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering"
DOI: 10.1177/09544100211045594
Abstract: This paper presents a novel suboptimal attitude tracking controller based on the algebraic Riccati equation for a near-space hypersonic vehicle (NSHV). Since the NSHV’s attitude dynamics is complexly nonlinear, it is hard to directly construct… read more here.
Keywords: algebraic riccati; riccati equation; control; control law ... See more keywords
Distilled neural state-dependent Riccati equation feedback controller for dynamic control of a cable-driven continuum robot
Sign Up to like & getrecommendations! Published in 2023 at "International Journal of Advanced Robotic Systems"
DOI: 10.1177/17298806231174737
Abstract: This article presents a novel learning-based optimal control approach for dynamic control of continuum robots. Working and interacting with a confined and unstructured environment, nonlinear coupling, and dynamic uncertainty are only some of the difficulties… read more here.
Keywords: state dependent; control; controller; continuum robot ... See more keywords