A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
Automatica (Journal of IFAC)
Technical communique: On robustness of constrained discrete-time systems to state measurement errors
Automatica (Journal of IFAC)
Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
Brief Equivalence of hybrid dynamical models
Automatica (Journal of IFAC)
Input-to-state stability for discrete-time nonlinear systems
Automatica (Journal of IFAC)
Stabilization of polytopic delay difference inclusions via the Razumikhin approach
Automatica (Journal of IFAC)
Stability of periodically time-varying systems: Periodic Lyapunov functions
Automatica (Journal of IFAC)
Lyapunov-based hybrid loops for stability and performance of continuous-time control systems
Automatica (Journal of IFAC)
A parametric branch and bound approach to suboptimal explicit hybrid MPC
Automatica (Journal of IFAC)
Hi-index | 22.15 |
This article presents a novel model predictive control (MPC) scheme that achieves input-to-state stabilization of constrained discontinuous nonlinear and hybrid systems. Input-to-state stability (ISS) is guaranteed when an optimal solution of the MPC optimization problem is attained. Special attention is paid to the effect that sub-optimal solutions have on ISS of the closed-loop system. This issue is of interest as firstly, the infimum of MPC optimization problems does not have to be attained and secondly, numerical solvers usually provide only sub-optimal solutions. An explicit relation is established between the deviation of the predictive control law from the optimum and the resulting deterioration of the ISS property of the closed-loop system. By imposing stronger conditions on the sub-optimal solutions, ISS can even be attained in this case.