Control Optim. 24 (1986), no. 6, 1110-1122.Heinz Schattler. Optimal control with state space constraints. In Encyclopedia of Optimization, pages 968-974. Springer, 2009.Soner, Halil Mete, Optimal control with s
Thus, in the case when the starting point lies on the boundary of the state constraint set, the above results hold trivially true.3 Conclusions In this article, we presented, discussed and proved NCO in the Gamkrelidze-like form for optimal control problems with state constraints. Besides the...
In this approach the original state space constrained problem is converted into a control-constrained problem by introducing an additional control variable and an equality constraint which is taken into consideration by a multiplier method. Convergence conditions for the multiplier Iteration of global and...
A stable approximation of a constrained optimal control for continuous casting Numerical Functional Analysis and Optimization, 13 (1992), pp. 487-494 View in ScopusGoogle Scholar [13] T. Roubíček Optimal control of a Stefan problem with state-space constraints Numerische Mathematik, 50 (1987)...
F. C. Yiu, "Optimal control problems with a continuous inequality constraint on the state and the control", Automatica, 45(10), 2250-2257, 2009.Loxton, R.C., Teo, K.L., Rehbock, V., Yiu, K.F.C.: Optimal control problems with a continuous inequal- ity constraint on the state ...
Bang-bang control problems subject to a state inequality constraint are considered. It is shown that the control problem induces an optimization problem, where the optimization vector assembles the switching and junction times for bang-bang and boundary arcs. Second order sufficient conditions (SSC) ...
Not a state-space model Convert it to a state-space model using ss. A continuous-time model Convert it to a discrete-time model with the same sample time as the controller, mpcobj.Ts, using c2d with default forward Euler discretization. A model with delays Convert the delays to states us...
and of continuation for space trajectory optimization problems. In Section7, we detail a full nonacademic example in aerospace (an attitude-trajectory problem), in order to illustrate how to solve optimal control problems with the help of geometric optimal control theory and the continuation methods...
State-Constrained Control and Stability HJI-reachability Safe learning for control: Combining disturbance estimation, reachability analysis and reinforcement learning with systematic exploration, Heidenreich C. (2017). MPC-HJI On Infusing Reachability-Based Safety Assurance within Probabilistic Planning Frameworks...
There are constraint equations that should be satisfied depending on the optimal control problem. The main objective of the optimal control techniques is to minimize (or maximize) the cost function constrained to the state equation and the initial and/or the end conditions of the problem. Show mo...