Linear robust control
Optimization: algorithms and consistent approximations
Optimization: algorithms and consistent approximations
Nonsmooth analysis and control theory
Nonsmooth analysis and control theory
Optimal Control of Constrained Piecewise Affine Discrete-Time Systems
Computational Optimization and Applications
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
Brief Output feedback and tracking of nonlinear systems with model predictive control
Automatica (Journal of IFAC)
Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
The explicit linear quadratic regulator for constrained systems
Automatica (Journal of IFAC)
Brief A receding-horizon approach to the nonlinear H∞ control problem
Automatica (Journal of IFAC)
Dynamic programming for constrained optimal control of discrete-time linear hybrid systems
Automatica (Journal of IFAC)
On the minimax reachability of target sets and target tubes
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Robust receding horizon control for constrained uncertain LFT systems with bounded disturbance
CA '07 Proceedings of the Ninth IASTED International Conference on Control and Applications
Brief paper: Convex parametric piecewise quadratic optimization: Theory and algorithms
Automatica (Journal of IFAC)
An active set solver for input-constrained robust receding horizon control
Automatica (Journal of IFAC)
Hi-index | 22.15 |
This paper obtains an explicit solution to a finite horizon min-max optimal control problem where the system is linear and discrete-time with control and state constraints, and the cost quadratic; the disturbance is negatively costed, as in the standard H"~ problem, and is constrained. The cost is minimized over control policies and maximized over disturbance sequences so that the solution yields a feedback control. It is shown that, under certain conditions, the value function is piecewise quadratic and the optimal control policy piecewise affine, being quadratic and affine, respectively, in polyhedra that partition the domain of the value function.