TY - GEN
T1 - Non-overshooting control of strict-feedback nonlinear systems
AU - Krstic, Miroslav
AU - Bernent, Matt
PY - 2007
Y1 - 2007
N2 - Nonlinear systems have received little attention in conjunction with the problem of achieving a non-overshooting tracking response. This paper demonstrates a means of obtaining a non-overshooting tracking response for singleinput/single-output strict-feedback nonlinear systems. With the proposed method, arbitrary reference trajectories can be tracked "from below" for arbitrary initial conditions (as long as the initial value of the plant output is strictly below the initial value of the reference trajectory). In addition, a design is presented for "approximately" non-overshooting control in the presence of disturbances, where the amount of overshoot can be made arbitrarily small by appropriately choosing the control gains. Finally, an output-feedback example shows the ability of our approach to ensure arbitrarily small overshoot, where the overshoot is caused by the initial condition of the unmeasured part of the state.
AB - Nonlinear systems have received little attention in conjunction with the problem of achieving a non-overshooting tracking response. This paper demonstrates a means of obtaining a non-overshooting tracking response for singleinput/single-output strict-feedback nonlinear systems. With the proposed method, arbitrary reference trajectories can be tracked "from below" for arbitrary initial conditions (as long as the initial value of the plant output is strictly below the initial value of the reference trajectory). In addition, a design is presented for "approximately" non-overshooting control in the presence of disturbances, where the amount of overshoot can be made arbitrarily small by appropriately choosing the control gains. Finally, an output-feedback example shows the ability of our approach to ensure arbitrarily small overshoot, where the overshoot is caused by the initial condition of the unmeasured part of the state.
UR - http://www.scopus.com/inward/record.url?scp=46449084110&partnerID=8YFLogxK
U2 - 10.1109/ACC.2007.4282160
DO - 10.1109/ACC.2007.4282160
M3 - Conference contribution
AN - SCOPUS:46449084110
SN - 1424409888
SN - 9781424409884
T3 - Proceedings of the American Control Conference
SP - 4494
EP - 4499
BT - Proceedings of the 2007 American Control Conference, ACC
T2 - 2007 American Control Conference, ACC
Y2 - 9 July 2007 through 13 July 2007
ER -