Control effort considerations in the stabilization of uncertain dynamical systems
Systems & Control Letters
Constrained regulation of linear continuous-time dynamical systems
Systems & Control Letters
Constrained control for uncertain linear systems
Journal of Optimization Theory and Applications
Nonquadratic Lyapunov functions for robust control
Automatica (Journal of IFAC)
On constrained infinite-time linear quadratic optimal control
Systems & Control Letters
Brief paper: Set invariance and performance analysis of linear systems via truncated ellipsoids
Automatica (Journal of IFAC)
The explicit linear quadratic regulator for constrained systems
Automatica (Journal of IFAC)
LQ control for constrained continuous-time systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
The constrained stabilization of linear uncertain systems is investigated via the set-theoretic framework of control Lyapunov R-functions. A novel composition rule allows the design of a composite control Lyapunov function with external level set that exactly shapes the maximal controlled invariant set and inner sublevel sets arbitrarily close to any choice of smooth ones, generalizing both polyhedral and truncated ellipsoidal control Lyapunov functions. The feasibility test of the proposed smooth control Lyapunov functions can be cast into matrix inequalities conditions. The constrained linear quadratic control is addressed as an application.