... states and multi outputs. Secondly, based on this established nonlinear multivariable system, nonlinear differential geometry theory is applied to design those multi inputs without any linearization process. Thirdly, further disturbance rejection is achieved under the framework of Lie derivative from...

... programming Differential geometry Place P₁ of the net in Figure 5 shows the disjunction phase (the volume is decreasing); place P₂ represents the conjunction phase in which the volume is increasing. Place P₄ corresponds to a state where...

...‐integral‐derivative (PID) controller. Design/methodology/approach The commanded angle‐of‐attack is developed in the time domain using the classical differential geometry theory. Then, a set‐point weighting PID controller is introduced to develop a flight control system so as to form the 2D DG guidance...