Control and state constraints
Model Predictive Control of VSC-HVDC Embedded into AC Grid Subject to State and Control Constraints
... the control and state constraints into ...tackle constraints, especially non symmetrical constraints, ...symmetric constraints. Sufficient conditions for stability ...
7
Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem.
... of state constraints K is a non-empty closed subset of R d (K ( R d ), the value function is merely ...l.s.c and its characterization as unique solution of a HJB equation requires some assumptions ...
29
Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft
... ) and fast (the air slope γ ) variables. The altitude h and the true air speed v are fast compare to the mass but slow compare to the air ...expansions and then, in order to get a good approximation ...
24
Optimal Control of Aerospace Systems with Control-State Constraints and Delays
... effectiveness and robustness of our approach, we test Algorithm 3 preliminarily on an example, which is not related to aerospace applications and considers the nontrivial problem consisting of the optimal ...
224
A SECOND-ORDER MAXIMUM PRINCIPLE IN OPTIMAL CONTROL UNDER STATE CONSTRAINTS
... results and to inves- tigate second-order necessary optimality conditions using second-order ...optimal control theory this approach was applied in [17, 18] by considering second-order tangents to the sets ...
38
Optimal control of a parabolic equation with time-dependent state constraints
... Optimal control problems of PDE (partial differential equations) with state constraints have been intensively studied since the eighties, starting with the work by Bonnans and Casas [8, 11, ...
28
Second-order Analysis for Optimal Control Problems with Pure and Mixed State Constraints
... Key-words: Optimal control, state constraint, higher order, mixed control-state constraint, junction conditions, necessary or sufficient second-order optimality conditions, shooting algo[r] ...
56
Deterministic mean field games with control on the acceleration and state constraints
... the state space; let us call mptq the distribution of states at time ...BK and the absolute continuous part of mptq with respect to Lebesgue measure blows up near ...the state distribution by means ...
37
Minimal controllability time for the heat equation under unilateral state or control constraints
... the state constraint ( 3 ...of state-constraints, it is well known that, given any T > 0, there exist controls such that the solution y of the heat equation reaches y 1 in time T (see for instance ...
41
Relationship Between Maximum Principle and Dynamic Programming in presence of Intermediate and Final State Constraints
... 3.1 and 3.2 establish the link between the original control problem and the auxiliary ...everywhere, and it is characterized as the viscosity solution of a Hamilton-Jacobi equation (which is ...
29
Pursuit Differential Games with State Constraints
... [8] BERNHARD P. (1979) Contribution ` a l’´ etude des Jeux Diff´ erentiels ` a deux joueurs, somme nulle, et information parfaite Th` ese de Doctorat d’Etat, Universit´ e Pierre et Marie Curie - Paris 6. [9] BREAKWELL ...
22
Nonlinear H ∞ -control under unilateral constraints
... 5 and 6, where the effects of the disturbance, pointed out by the arrows, are ...eral constraints via state and output feedback ...rule, and three coupled inequalities, involving two ...
33
On second order necessary conditions in infinite dimensional optimal control with state constraints
... pure state constraints and end point constraints, useful in applications. Further our abstract approach allows to apply the results of this paper directly to different kinds of control ...
7
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints
... 1.2. Notations. By R n we denote the n dimensional Euclidean space. Its dual (whose elements are row vectors) is denoted by R n∗ . By ∇, ∇ u , etc. we denote the gradient or partial gradient w.r.t. u, who are column ...
26
Infinite horizon problems on stratifiable state-constraints sets
... d) and on {b} × (c, d) does not depend on the control nor in the initial dynamic ϕ but only on the sign of y 2 , and so, for some values of y 2 the vector field will point into K 0 and for ...
26
Robust Control of VSC-HVDC System with Input and States Constraints
... speed and high voltage switches ...for state and actuator constrained VSC-HVDC systems is a challenging ...values and may degrade the system performance or even cause instability of the ...
7
The Mayer and Minimum Time Problems with Stratified State Constraints *
... ) and (H 1 ) that there is at least one such ...the control system, which is written as R(t, x; s), is the set of points that can be attained at time s with an admissible trajectory solution of (DI) K ...
20
Optimal Switching in Finite Horizon under State Constraints
... before and our aim is to fill this gap. In the continuous time control case, ...stochastic control case is studied by ...continuity and he imposes regularity conditions on the constraint ...
36
On the shooting algorithm for optimal control problems with state constraints
... optimal control problems of an ordinary differential equation subject to one or several state constraints, of arbitrary orders, in the case when the strengthened Legendre-Clebsch condition is ...
269
Sensitivity analysis for relaxed optimal control problems with final-state constraints
... the control variable is not anymore a vector in a space U, but a probability measure on U, like if we were able to use several controls ...new control variable is now a Young measure, in reference to the ...
39