5 papers
On Exact Critical-Region Boundaries in Continuous-Time Multiparametric Optimal Control Problems
Lida Lamakani, Efstratios N. Pistikopoulos
Continuous-time multiparametric model predictive control solves the optimal control problem once, offline, for every initial state, and divides the initial-state space into critica…
Advances in Continuous-Time Multiparametric Optimal Control: The Role of Time-Varying Active Constraints
Lida Lamakani, Efstratios N. Pistikopoulos
Multiparametric optimal control in continuous time partitions the space of initial states into critical regions, each with its own control law involving a set of time-varying activ…
Towards Fewer Control Laws via Continuous-Time Multiparametric Programming
Lida Lamakani, Efstratios N. Pistikopoulos
Multiparametric programming offers a powerful solution to the computational burden of solving optimal control problems repeatedly online. By solving the problem once offline, it yi…
On Linear Critical-Region Boundaries in Continuous-Time Multiparametric Optimal Control
Lida Lamakani, Efstratios N. Pistikopoulos
When an optimal control problem is solved for all possible initial conditions at once, the initial-state space splits into critical regions, each carrying a closed-form control law…
Multiparametric continuous-time optimal control via Pontryagin's Maximum Principle: explicit solutions and comparisons with discrete-time formulations
Lida Lamakani, Efstratios N. Pistikopoulos
Model predictive control offers a powerful framework for managing constrained systems, but its repeated online optimization can become computationally prohibitive. Multiparametric…