Technical Notes and Correspondence Nonovershooting Control of Strict-Feedback Nonlinear Systems

A means of obtaining a nonovershooting output tracking re- sponse for single-input-single-output (SISO) strict-feedback nonlinear sys- tems is introduced. With the proposed method, arbitrary reference trajec- tories 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 "approx- imately" nonovershooting 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. Index Terms—Backstepping, nonovershooting control.