Based on the Lyapunov stability theorem, a design methodology of adaptive block backstepping controller is proposed in this thesis for a class of multi-input systems with mismatched perturbations to solve regulation problems. According to the number of block (m) in the plant to be controlled, m-1 virtual input controllers are designed from the first block to the (m-1)th block. Then the proposed robust controller is designed from the last block. Adaptive mechanisms are employed in each of the virtual input controllers as well as the robust controller, so that the knowledge of the least upper bounds of mismatched perturbations is not required. The resultant control system can achieve asymptotic stability. Finally, a numerical example and a practical example are given for demonstrating the feasibility of the proposed control scheme.

Based on the Lypunov stability theorem, a design methodology of adaptive backstepping control is proposed in this thesis for a class of multi-input systems with matched and mismatched perturbations to solve regulation problems. The systems to be controlled contain blocks¡¦ dynamic equations, hence virtual input controllers are firstly designed so that the state variables of first blocks are asymptotically stable if each virtual control input is equal to the state variable of next block. The control input is designed in the last block to ensure asymptotic stability for each state even if the perturbations exist. In addition, adaptive mechanisms are embedded in each virtual input function and control input, so that the upper bound of perturbations is not required to be known beforehand. Finally, a numerical example and a practical application are given for demonstrating the feasibility of the proposed control scheme. ­^¤åºK­n(keyword)¡Gadaptive block backstepping controller, mismatched parameter uncertainty, virtual input controller, Lyapunov stability .

Based on the Lyapunov stability theorem, a design methodology of adaptive block backstepping decentralized controller is proposed in this thesis for a class of large-scale systems with interconnections to solve regulation problems. Each subsystem contains m blocks¡¦ state variables, and m- 1 virtual input controllers are designed from the first block to the (m - 1)th block. Then the proposed robust controller is designed in accordance with the last block. Some adaptive mechanisms are embedded in the backstepping controllers as well as virtual input controllers in each subsystem, so that the upper bounds of interconnections as well as perturbations are not required. Furthermore, the dynamic equations of each subsystem do not need to strictly satisfy the block strict feedback form, and the resultant controlled system can achieve asymptotic stability. Finally, a numerical and a practical examples are given for demonstrating the feasibility of the proposed control scheme.