Mathematical control theory: deterministic systems
Mathematical control theory: deterministic systems
SIAM Journal on Control and Optimization
Studies in hybrid systems: modeling, analysis, and control
Studies in hybrid systems: modeling, analysis, and control
Stabilization and tracking in the nonholonomic integrator via sliding modes
Systems & Control Letters
A Dynamical Simulation Facility for Hybrid Systems
Hybrid Systems
Smooth patchy control Lyapunov functions
Automatica (Journal of IFAC)
Survey paper: Direction-dependent systems - A survey
Automatica (Journal of IFAC)
Torque control of an induction machine based on partial dynamic inversion
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Enhancement of multi-objective control performance via switching
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Finite state controllers for stabilizing switched systems with binary sensors
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Switching-based Lyapunov function and the stabilization of a class of non-holonomic systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
On singular perturbations due to fast actuators in hybrid control systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control
Automatica (Journal of IFAC)
Brief Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems
Automatica (Journal of IFAC)
Analysis and synthesis of switched linear control systems
Automatica (Journal of IFAC)
A contribution to the control of the non-holonomic integrator including drift
Automatica (Journal of IFAC)
Limited-information control of hybrid systems via reachable set propagation
Proceedings of the 16th international conference on Hybrid systems: computation and control
Output feedback stabilization of switched stochastic nonlinear systems under arbitrary switchings
International Journal of Automation and Computing
Finite data-rate feedback stabilization of switched and hybrid linear systems
Automatica (Journal of IFAC)
Hi-index | 22.17 |
This paper explains how to stabilize a ''nonholonomic integrator'' using a hybrid control law employing switching and logic. Results concerning asymptotic stability and exponential convergence to the origin are derived. The notion of a (positively) invariant set is extended to hybrid systems and sufficient conditions for invariance are presented. The verification of these conditions does not require the computation of the state trajectories and their use goes beyond the analysis of the system presented in this paper.