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This paper investigates the semi-global practical stabilization for second-order nonlinear systems subject to unknown control coefficients and completely unknown nonlinear function. In order to achieve the control objective, a state feedback controller is firstly constructed to ensure that systems under consideration satisfy uniform Lyapunov property. Then, based on output feedback domination method,...
The existing second-order sliding mode (SOSM) control methods can only be used to handle sliding mode control systems subject to matched disturbance. This paper proposes a novel SOSM control method, which allows the sliding mode control systems with mismatched disturbance. Such a control approach is intended to deal with the first derivative of the sliding variable characterized by a certain term...
In this paper, the finite-time output feedback stabilization problem for a kind of second-order system with mismatched disturbances is investigated. To estimate both the unknown states and the disturbances in such a system, a finite-time convergent observer is designed. Based on homogeneous control technique and the designed observer, an output feedback composite controller is proposed. The developed...
In this paper, we discuss stabilization problem for a class of second-order nonlinear systems with output constraints. At first, as a constraint-handling tool, we design a new barrier Lyapunov function, which has patch-like characteristic and can save control power effectively. Then, the stabilization problem for the system is discussed by applying adding a power integrator and our new barrier Lyapunov...
Conventional controllers for the nonholonomic systems all stabilize the closed loop system to a target point. In this paper, considering the nonholonomic chained form system, a control design approach based on set stabilization idea is proposed. The proposed control laws can asymptotically stabilize the closed loop system to a set of given target points. First, for the first-order subsystem, a state...
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