TY - GEN
T1 - Global adaptive control of feedforward systems using dynamic high gain scaling
AU - Krishnamurthy, P.
AU - Khorrami, F.
PY - 2004
Y1 - 2004
N2 - In this paper, we propose an adaptive control design technique for feedforward systems based on our recent results on dynamic high-gain scaling techniques for controller design for strict-feedback-type systems. Both the state-feedback and the output-feedback cases are considered. The system is allowed to contain uncertain functions of all the states even in the output-feedback case. Unknown parameters are allowed in the bounds assumed on the uncertain functions appearing in the dynamics. The designed controllers have a very simple structure being essentially a linear feedback with state-dependent dynamic gains and do not involve any saturations or recursive computations. The observer in the output-feedback case is similar to a Luenberger observer with dynamic observer gains. The Lyapunov functions are quadratic in the states and the parameter estimation errors (and the observer errors in the case of output-feedback). The stability analysis is based on our recent results on uniform solvability of coupled state-dependent Lyapunov equations. The controller design provides strong robustness properties both with respect to uncertain parameters in the system model and additive disturbances. This robustness is the key to the output-feedback controller design.
AB - In this paper, we propose an adaptive control design technique for feedforward systems based on our recent results on dynamic high-gain scaling techniques for controller design for strict-feedback-type systems. Both the state-feedback and the output-feedback cases are considered. The system is allowed to contain uncertain functions of all the states even in the output-feedback case. Unknown parameters are allowed in the bounds assumed on the uncertain functions appearing in the dynamics. The designed controllers have a very simple structure being essentially a linear feedback with state-dependent dynamic gains and do not involve any saturations or recursive computations. The observer in the output-feedback case is similar to a Luenberger observer with dynamic observer gains. The Lyapunov functions are quadratic in the states and the parameter estimation errors (and the observer errors in the case of output-feedback). The stability analysis is based on our recent results on uniform solvability of coupled state-dependent Lyapunov equations. The controller design provides strong robustness properties both with respect to uncertain parameters in the system model and additive disturbances. This robustness is the key to the output-feedback controller design.
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U2 - 10.1109/ACC.2004.182634
DO - 10.1109/ACC.2004.182634
M3 - Conference contribution
AN - SCOPUS:8744290798
SN - 0780383354
T3 - Proceedings of the American Control Conference
SP - 4354
EP - 4359
BT - Proceedings of the 2004 American Control Conference (AAC)
T2 - Proceedings of the 2004 American Control Conference (AAC)
Y2 - 30 June 2004 through 2 July 2004
ER -