Design of Clutch-Slip Controller for Automatic Transmission Using Backstepping

Design of Observer-based Output Feedback Clutch Slip Controller for Automatic Transmission

“…It's shown in Dolcini and Béchart [2005], Bemporad et al [2001], Haj-Fraj and Pfeiffer [2001] that the clutch engagement should satisfy the so-called nolurch condition. Therefore, the desired reference trajectory is shown in Gao et al [2010a] as There are many methods to define the reference trajectory shown in Fig. 2, such as transfer functions or polynomials.…”

“…2, such as transfer functions or polynomials. Here, we use a third-order polynomial to describe the reference trajectory which can be seen in Gao et al [2010a].…”

“…As shown in Gao et al [2010a], we choose κ i > 0, i = 1 ∼ 5, κ 1 − κ 3 > 0, κ 2 − κ 4 − κ 5 > 0. Then, the error system (16) under controller (14) is ISS, if w 1 , w 2 and observer error e 0 are bounded in amplitude, i.e., w 1 , w 2 and e 0 ∈ L ∞ .…”

“…The clutch slip controller is designed only using measurable variables and an integral term is included to reduce the offset in Section 3. In Section 4, the proposed controller is tested on a complete powertrain simulation model, and the comparison with the state-feedback algorithm Gao et al [2010a] is given as well.…”

Optimal shifting control strategy in inertia phase of an automatic transmission for automotive applications

“…In [17], the author has presented a model-based estimation for a stepped automatic transmission to provide real-time information about some necessary but un-measurable variables. Gao et al [18] reported the backstepping design and obtained some simulation results, for the clutch-slipping control using the clutch rotational speed as the feedback signal.…”