Controllability of piecewise linear systems
Systems & Control Letters
On the controllability of piecewise-linear hypersurface systems
Systems & Control Letters
Constrained regulation of linear continuous-time dynamical systems
Systems & Control Letters
Control of Piecewise-Linear Hybrid Systems on Simplices and Rectangles
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Hybrid Systems: Computation and Control: 7th International Workshop, Hscc 2004, Philadelphia, Pa, Usa, March 2004: Proceedings (Lecture Notes in Computer Science, 2993)
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
A control problem for affine dynamical systems on a full-dimensional polytope
Automatica (Journal of IFAC)
Flow-through policies for hybrid controller synthesis applied to fully actuated systems
IEEE Transactions on Robotics
Reach control on simplices by continuous state feedback
ACC'09 Proceedings of the 2009 conference on American Control Conference
Decentralized feedback controllers for multiagent teams in environments with obstacles
IEEE Transactions on Robotics
Brief paper: Reachability and stabilization of discrete-time affine systems with disturbances
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
In this paper we solve the general problem of designing a feedback controller to reach a set of facets of an n-dimensional simplex in finite time, for a system evolving with linear affine dynamics. Necessary and sufficient conditions are presented in the form of bilinear inequalities on the vertices of the simplex. By exploiting the structure of the problem, the bilinear inequalities are converted to a series of linear programming problems.