Discontinuous control of the Brockett integrator

DOI10.1016/S0947-3580(98)70099-8zbMath0914.93056MaRDI QIDQ1130308

Alessandro Astolfi

Publication date: 27 June 1999

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

zbMATH Keywords

nonlinear controlnonholonomic systemsasymptotic stabilizationdiscontinuous controlcontrol saturationBrokett integrator

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (12)

Finite-time stability for a class of underactuated systems subject to time-varying disturbance ⋮ Steering Control for a Rigid Body with two Torque Actuators using Adaptive Back Stepping ⋮ Switched seesaw control for the stabilization of underactuated vehicles ⋮ Switched control of a nonholonomic mobile robot ⋮ Local robust regulation of chained systems ⋮ Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls ⋮ Robust finite-time stabilisation of an arbitrary-order nonholonomic system in chained form ⋮ On the geometric construction of a stabilizing time-invariant state feedback controller for the nonholonomic integrator ⋮ Discontinuous steering control for nonholonomic systems with drift ⋮ Steering control of nonholonomic systems with drift: the extended nonholonomic double integrator example ⋮ Robust optimal stabilization of the brockett integrator via a hybrid feedback ⋮ Design of feedback stabilisers using Wiener processes for nonlinear systems

Cites Work

• Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls
• Discontinuous control of nonholonomic systems
• Subanalytic sets and feedback control
• Stabilization and tracking in the nonholonomic integrator via sliding modes
• State and output feedback stabilization of multiple chained systems with discontinuous control
• Exponential stabilization of driftless nonlinear control systems using homogeneous feedback
• Non-holonomic control systems: from steering to stabilization with sinusoids
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