Cumulative retrospective cost adaptive control with RLS-based optimization,” in

Abstract-We present a discrete-time adaptive control algorithm that is effective for multi-input, multi-output systems that are either minimum phase or nonminimum phase. The adaptive control algorithm requires limited model information, specifically, the first nonzero Markov parameter and the nonminimum-phase zeros of the transfer function from the control signal to the performance measurement. Furthermore, the adaptive control algorithm is effective for stabilization as well as command following and disturbance rejection, where the command and disturbance spectrum is unknown. The novel aspect of this adaptive controller is the use of a retrospective performance function which is optimized using a recursive leastsquares algorithm

A Computational Study of the Performance and Robustness Properties of Retrospective Cost Adaptive Control

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/83646/1/AIAA-2010-8011-332.pd

Retrospective Cost Adaptive Control of the NASA GTM Model

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/83658/1/AIAA-2010-8404-930.pd

Robust adaptive regulation without persistent excitation

A globally convergent adaptive regulator for minimum or nonminimum phase systems subject to bounded distrubances and unmodeled dynamics is presented. The control strategy is designed for a particular input-output representation obtained from the state space representation of the system. The leading coefficient of the new representation is the product of the observability and controllability matrices of the system. The controller scheme uses a Least Squares identification algorithm with a dead zone. The dead zone is chosen to obtain convergence properties on the estimates and on the covariance matrix as well. This allows the definition of modified estimates which secure well-conditioned matrices in the adaptive control law. Explicit bounds on the plant output are given

Adaptive Output Feedback Control of the NASA GTM Model with Unknown Nonminimum-Phase Zeros

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/90722/1/AIAA-2011-6204-387.pd

Retrospective Cost Adaptive Control for Systems with Unknown Nonminimum-Phase Zeros

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/90721/1/AIAA-2011-6203-626.pd

Adaptive control with convex saturation constraints

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/166259/1/cth21096.pd

Nonlinearity Identification and Flow Control for Low-Reynolds Number Aerodynamics with Unsteady Free-Stream

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/97137/1/AIAA2012-76.pd