Differential geometric methods in variable-structure control

DOI10.1080/00207178808906256zbMath0658.93022OpenAlexW2092612822WikidataQ115310233 ScholiaQ115310233MaRDI QIDQ3807951

Hebertt Sira-Ramírez

Publication date: 1988

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178808906256

zbMATH Keywords

nonlinear systemsvariable structure controlsliding regimesdisturbance invariant propertiesregular canonical forms

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Canonical structure (93B10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by ordinary differential equations (93C15) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items (25)

Non-linear discrete variable structure systems in quasi-sliding mode ⋮ Robust control of a brushless servo motor via sliding mode techniques ⋮ Geometrical and topological methods in optimal control theory ⋮ Discontinuous pole assignment control of uncertain systems using only input/output measurements ⋮ An application of sliding mode control to the determination of system orders ⋮ Constructing discontinuity surfaces for variable structure systems: A Lyapunov approach ⋮ Fixed frequency sliding mode-based robust inversion with a full-bridge current DC-link buck-boost ⋮ Discrete-time modeling and control of a boost converter by means of a variational integrator and sliding modes ⋮ Natural surface design for sliding mode control with multiple discontinuous inputs ⋮ Designing a robust nonlinear dynamic inversion controller for spacecraft formation flying ⋮ Assessment of an average controller for a DC/DC converter via either a PWM or a sigma-delta-modulator ⋮ On the sliding mode control of multivariable nonlinear systems ⋮ DC-to-AC power conversion on a ‘boost’ converter ⋮ Synthesis of sliding-mode controllers for nonlinear systems via extended linearization ⋮ On the estimation of sliding domains and stability regions of variable structure control systems with bounded controllers ⋮ Asymptotic output stabilization for nonlinear systems via dynamical variable-struc-ture feedback control ⋮ On the stability of DC-to-DC converters in photovoltaic systems undergoing sliding motions ⋮ A new approach to reaching mode of VSS using trajectory planning ⋮ On a Dynamic Variable Structure Control Approach for the Active Control of Mechanical Vibrations ⋮ Sliding mode scheme for adaptive specific growth rate control in biotechnological fed-batch processes ⋮ Sliding motion, robust control and power loss minimization in a class of non-linear switched converters ⋮ On tracking control for affine nonlinear systems by sliding mode ⋮ Unnamed Item ⋮ Distributed sliding mode control in systems described by quasilinear partial differential equations ⋮ Invariance conditions in non-linear PWM controlled systems

Cites Work

• Unnamed Item
• The invariance conditions in variable structure systems
• Stability of certain systems with variable structure
• An example of a nonlinear regulator
• Analysis and design of variable structure systems using a geometric approach
• Sliding controller design for non-linear systems
• Exact nonlinear control of large angle rotational maneuvers
• Tracking control of non-linear systems using sliding surfaces, with application to robot manipulators†
• The structure of nonlinear control systems possessing symmetries
• Controlled invariance for discrete-time nonlinear systems with an application to the disturbance decoupling problems
• Feedback linearizing control of switched reluctance motors
• Variable structure controller design for spacecraft nutation damping
• Sliding regimes on slow manifolds of systems with fast actuators
• Global transformations of nonlinear systems
• Controller Design for a Manipulator Using Theory of Variable Structure Systems

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