We consider the problem of orbital transfer under propulsion constraints. The solution is arrived at by appealing to several recent nonlinear control design methods including backstepping, forwarding, and a modified form of JurdjevicQuinn control.

A new nonlinear design technique for finite time stabilization of a class of nonlinear systems is developed using backstepping method. This method is able to apply strict feedback form systems. An example illustrates the theoretical results.

In this paper, a nonlinear differential braking control method is developed to avoid collision during lane change under driver torque. The lateral dynamics consist of offset error and yaw can be interpreted as semi-strict feedback form. the problem torque, matching condition does not satisfy, system in form of, strict Thus, general backstepping cannot applied. To overcome problem, proposed desi...

In the context of the initiative Formation for Atmospheric Science and Technology demonstration (FAST), this dissertation describes the design and comparison of several nonlinear attitude controllers for TU Delft’s micro-satellite. The control requirements include robustness against model uncertainties and disturbances. To this end, five Backstepping schemes are selected for comparison: Standar...

This paper studies the control of an electro-hydraulic servosystem using a non-linear backstepping based approach. These systems are known to be highly non-linear due to many factors as leakage, friction and especially the fluid flow expression through the servo-valve. Another fact, often neglected or avoided, is that such systems have a non-differentiable mathematical model for bi-directional ...

In this paper, the adaptive and non-adaptive nonlinear Backstepping control approach for a permanent magnet synchronous motor drive is discussed and analyzed. We present a Matlab&Simulink simulation and experimental results from a benchmark based on FPGA. The design of a controller for a nonlinear system where the state vector dimension is high, can often be a difficult task, if not impossible....

Flexible manipulators are extensively used in industries. In this paper, backstepping method (BM) is used to control flexible manipulator. BM consists of parameters which accept positive values. The parameters are usually chosen variously. The system responses differently for each value. In this method, some paremeters exist, which, if not defined well, may cause some performance degrade. It is...

We consider the problem of stabilization of an unstable heat equation in a 2-D, 3-D and generally n-D domain by deriving a generalized backstepping boundary control design methodology. To stabilize the systems, we design boundary backstepping controllers inspired by the 1-D unstable heat equation stabilization procedure. We assume that one side of the boundary is hinged and the other side is co...