TY - GEN
T1 - Robust adaptive nonlinear controller for robotic systems
T2 - 2008 9th Biennial Conference on Engineering Systems Design and Analysis
AU - Levy, Itzhack
AU - Berman, Nadav
AU - Ailon, Amit
PY - 2009/9/21
Y1 - 2009/9/21
N2 - In this paper the tracking problem of a robotic system with model uncertainty is considered via an application of the H∞, control theory for nonlinear systems. In particular, we develop a state feedback controller which yields a global exponential stability of the underlying system and provides the closed loop system with relatively low gains. The main ingredient which facilitates our development is the choice of a particular storage function (which serves as a Lyaponov function). This particular storage function leads to certain linear matrix inequalities, the solution of which yields the desired controller. Moreover, the resulting LMIs (Linear Matrix Inequalities) turn out to be of the same form of the LMIs achieved in the analogous linear case. Simulation results and implementation of the control algorithm in a two-degree of freedom robot illustrate the controller efficiency.
AB - In this paper the tracking problem of a robotic system with model uncertainty is considered via an application of the H∞, control theory for nonlinear systems. In particular, we develop a state feedback controller which yields a global exponential stability of the underlying system and provides the closed loop system with relatively low gains. The main ingredient which facilitates our development is the choice of a particular storage function (which serves as a Lyaponov function). This particular storage function leads to certain linear matrix inequalities, the solution of which yields the desired controller. Moreover, the resulting LMIs (Linear Matrix Inequalities) turn out to be of the same form of the LMIs achieved in the analogous linear case. Simulation results and implementation of the control algorithm in a two-degree of freedom robot illustrate the controller efficiency.
UR - http://www.scopus.com/inward/record.url?scp=70349139267&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:70349139267
SN - 9780791848364
T3 - 2008 Proceedings of the 9th Biennial Conference on Engineering Systems Design and Analysis
SP - 485
EP - 493
BT - 2008 Proceedings of the 9th Biennial Conference on Engineering Systems Design and Analysis
Y2 - 7 July 2008 through 9 July 2008
ER -