Optimal multi-objective linearized impulsive rendezvous under uncertainty

A smoothed exact penalty function method for the optimal-fuel spacecraft rendezvous problem with the collision avoidance constraint

“…The state-constrained problem, denoted as (P ) δn , is formally stated as: Given the system (5) with the initial condition (10a), find a control function u δn (θ) such that the cost function (21) is minimized subject to the terminal condition (10b) and control and state constraints (7) and (8), where F [θ, u(θ)] is defined by (12) and δ n is the last value in the sequence of parameters δ 1 > δ 2 > · · · > δ n > 0. Thus, the optimal control u δn (θ) becomes smooth so as to avoid difficulties in the numerical computation.…”

“…Many researchers studied optimal control problem for spacecraft rendezvous. Jezewski and Stoolz considered minimum fuel problems subject to the inverse square field in [7]; Euler studied low-thrust optimal rendezvous maneuver in the vicinity of an elliptical orbit in [8]; Billik applied differential game theory to obtain the optimum low acceleration programms for spacecraft rendezvous in [9]; Fuel optimal spacecraft rendezvous problem was investigated in a general central gravity force field in [10]; the annealing algorithm was utilized in [11] to design an optimal controller for the spacecraft rendezvous system; the nondominated sorting genetic algorithm was employed [12] to study the optimal impulsive control of a rendezvous manoeuvre. However, in most of papers mentioned above, linearized models (Clohessy * This work is partially supported by the National Natural Science Foundation of China under Grant No.…”

Switching control of thrust regulation and inlet unstart protection for scramjet engine based on strategy of integral initial values resetting

“…Through switching among relative simple sub-controllers, the contradiction between safety and fast response can be eliminated. So it has been widely investigated during last decade [20,21] and been proposed and widely used in aerospace industry [22][23][24]. The necessities for switching control of scramjet engine were discussed in detail and highlighted by Cao et al [25].…”

Robust control of spacecraft rendezvous on elliptical orbit

“…Many advanced methods have been applied in the investigation of rendezvous control problems. For example, Lyapunov differential equation approach was used to solve spacecraft rendezvous on elliptical orbit in [3]; a new rendezvous guidance method was proposed based on the sliding-mode control theory in [4]; the LMI method was applied to solve multi-objective robust H 1 control problem of spacecraft rendezvous in [5]; the nondominated sorting genetic algorithm was employed to study the optimal impulsive rendezvous problem in [6]; the annealing algorithm was utilized to design orbital controllers for the spacecraft rendezvous system in [7]; and a smoothed exact penalty approach was applied to solve fuel optimal problem of satellite rendezvous with collision avoidance constraint in [8]. However, there remain problems which are required to be addressed in the orbital rendezvous problem.…”