Block Backstepping Design of Nonlinear State Feedback Control Law for Underactuated Mechanical Systems

Block Backstepping Design of Nonlinear State Feedback Control Law for Underactuated Mechanical Systems

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This book presents a novel, generalized approach to the design of nonlinear state feedback control laws for a large class of underactuated mechanical systems based on application of the block backstepping method. The control law proposed here is robust against the effects of model uncertainty in dynamic and steady-state performance and addresses the issue of asymptotic stabilization for the class of underactuated mechanical systems. An underactuated system is defined as one for which the dimension of space spanned by the configuration vector is greater than that of the space spanned by the con...