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Liu, T. C.

Publications and source records attributed to Liu, T. C..

7 records
All sourcesNASA NTRSDOE OSTI
NASA NTRS1974

Optimum propellant usage for reaction jet systems of space vehicles

The on-off type control for reaction jet systems is proven to be the optimal fuel scheme. However, due to the nonlinear characteristics of this type control, no direct method of solution is known for this optimal process being applied to the attitude control of space vehicles. This paper will discuss the optimization of fuel usage for an attitude control of space vehicles. A computation technique is developed for the calculation of optimal control law. The method of calculus of variations is applied to the estimation of the changes of performance index as well as terminal constraints. Thus an algorithm is obtained by the steepest descent method. A numerical example is given in the paper.

Liu, T. C.↗
NASA NTRS1974

A method for compensating on-off relay control systems

A method is proposed for adjusting the characteristics of an on-off relay or contactor servomechanism to make it behave as a positive hysteresis relay intended to stabilize a control system. In this method, the nonlinear portion of the system, instead of the linear portion, is shaped by adding a positive hysteresis circuit to the system. A servomotor system using a typical relay for position control is studied as an application of the proposed method. It is shown that since the synthesis is mainly to improve the nonlinear characteristics of the on-off relay, the method will not affect the characteristics of other elements in the system, which is indispensable to the control of space vehicles.

Thompson, Z.↗
NASA NTRS1973

Optimal control of a variable spin speed CMG system for space vehicles

Many future NASA programs require very high accurate pointing stability. These pointing requirements are well beyond anything attempted to date. This paper suggests a control system which has the capability of meeting these requirements. An optimal control law for the suggested system is specified. However, since no direct method of solution is known for this complicated system, a computation technique using successive approximations is used to develop the required solution. The method of calculus of variations is applied for estimating the changes of index of performance as well as those constraints of inequality of state variables and terminal conditions. Thus, an algorithm is obtained by the steepest descent method and/or conjugate gradient method. Numerical examples are given to show the optimal controls.

Liu, T. C.↗