Sentence examples for be an optimal control from inspiring English sources

Let (bar {u}(cdot)) be an optimal control and ((bar {x}(cdot),bar {y}(cdot),bar {z}(cdot))) be the corresponding solution.

Let (bar {u}(cdot)) be an optimal control with state constraint (58) and ((bar {x}(cdot),bar {y} (cdot),bar {z}(cdot))) be the corresponding solution.

More precisely, let u be an optimal control, solution of ((mathcal {P}_{S})), and assume that u is singular on the sub-interval (t 1,t 2)⊂[0,t f ] and is regular elsewhere.

Let (bar {u}(cdot)in mathcal {U}_{ad}[0,T]) be an optimal control and ((bar {x}(cdot),bar {y}(cdot),bar {z}(cdot))) be the corresponding solution of Eqs.

We recall that under the conditions ( H 1 ) - ( H 2 ), for any ( x 0, u ∈ R n × U [ 0, T ], the state equation (2.1) admits a unique solution x with x ( 0 ) = x 0. So, the cost functional is uniquely determined by ( x 0, u . In the sequel, we denote the unique solution of (2.1) with x ( 0 ) = x 0 by x ( ⋅ ; x 0, u . Now, let ( x ¯ 0, u ¯ ∈ U ad [ 0, T ] be an optimal control.

An admissible control u is an optimal control, if (J uge J underline{u} for all admissible controls (underline{u} [20].

Nonlinear model predictive control (NMPC) is an optimal control strategy based on a dynamic model of the system.

It is an optimal control problem where an external disturbance is controlled over the time horizon by a control force constituted with the well-known convolution approach.

MAP is an optimal control strategy that minimizes the total input power into the structure by only monitoring and controlling the input power going through the control sources.

And this algorithm is an optimal control algorithm based on policy iteration (PI), and it can obtain the suitable approximations of cost function and the optimized control policy.

Convex theory allows us to reveal the intrinsic geometry involved in the clf stabilization problem, and to show that it is solvable if there is an optimal control ¯¯ω(x).