Results 81 to 90 of about 14,850 (259)
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales +8 more
wiley +1 more source
Expression for a general element of an SO(n) matrix
International Journal of Mathematics and Mathematical Sciences, 2003 We derive the expression for a general element of an SO(n) matrix. All elements are obtained from a single element of the matrix. This has applications in recently developed methods for computing Lyapunov exponents.
T. M. Janaki, Govindan Rangarajan
doaj +1 more source
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems
, 2010 We introduce a four-variable polynomial matrix equation which plays an essential role in the stability analysis of discrete 2-D systems and in the computation of Lyapunov functions for such systems; we call this the 2-D polynomial Lyapunov equation (2-D ...
Kojima, Chiaki +2 more
core
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley +1 more source
Iterative solution of the Lyapunov matrix equation
, 1988 Iterative solution of the Lyapunov matrix equation AX + XB = C using ADI theory described in [1] is reviewed here.
Wachspress, Eugene L.
core +1 more source
Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach +2 more
wiley +1 more source
Solution of Lyapunov, Sylvester and Riccati matrix equations using Julia.
, 2019 This is a collection of Julia functions which implement high performance numerical algorithms to solve classes of Lyapunov, Sylvester and Riccati matrix equations.
andreasvarga (8327022), andreasvarga
core +2 more sources
Robust gain-scheduled H [infinity] control for unmanned aerial vehicles
, 2010 This thesis considers the problem of the design of robust gain-scheduled ight controllers for conventional xed-wing unmanned aerial vehicles (UAVs).
Chumalee, Sunan
core
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan +3 more
wiley +1 more source