Wavelet Sliding Mode Control of Uncertain Nonaffine Nonlinear Discrete Time Systems
نویسندگان
چکیده
In this paper, a wavelet based adaptive sliding mode control is designed for a class of discrete time uncertain nonlinear nonaffine systems. An equivalent affine like structure is first developed form the original nonaffine system and subsequently a wavelet based adaptive sliding mode tracking control scheme is developed for the affine like system. Wavelet neural network (WNN) is used to mimic the uncertainties present in the system. Proposed scheme is derived to guaranty the necessary and sufficient reaching condition for sliding mode control in presence of modeling uncertainties and mathematical inaccuracies. A numerical example is provided to verify the effectiveness of theoretical development. KeywordsAdaptive sliding mode control; wavelet networks; discrete time nonlinear systems
منابع مشابه
Second Order Sliding Mode Observer-Based Control for Uncertain Nonlinear MEMS Optical Switch
This paper studies theuncertain nonlinear dynamics of a MEMS optical switch addressing electrical, mechanical and optical subsystems. Recently, MEMS optical switch has had significant merits in reliability, control voltage requirements and power consumption. However, an inherent weakness in designing control for such systems is unavailability of switch position information at all times due to t...
متن کاملDesign of a Novel Framework to Control Nonlinear Affine Systems Based on Fast Terminal Sliding-Mode Controller
In this paper, a novel approach for finite-time stabilization of uncertain affine systems is proposed. In the proposed approach, a fast terminal sliding mode (FTSM) controller is designed, based on the input-output feedback linearization of the nonlinear system with considering its internal dynamics. One of the main advantages of the proposed approach is that only the outputs and external state...
متن کاملTerminal Sliding Mode Control for Nonlinear Systems with both Matched and Unmatched Uncertainties
In this paper, we extend the sliding mode idea to a class of unmatched uncertain variable structure systems. This method is achieved with introducing a new terminal sliding variable and the finite time stability of proposed method is proved using a new particular finite time condition in both reaching and sliding phases. In reaching phase new sliding mode controller is derived to guarantee the ...
متن کاملIndirect Adaptive Interval Type-2 Fuzzy PI Sliding Mode Control for a Class of Uncertain Nonlinear Systems
Controller design remains an elusive and challenging problem foruncertain nonlinear dynamics. Interval type-2 fuzzy logic systems (IT2FLS) incomparison with type-1 fuzzy logic systems claim to effectively handle systemuncertainties especially in the presence of disturbances and noises, but lack aformal mechanism to guarantee performance. In contrast, adaptive sliding modecontrol (ASMC) provides...
متن کاملA Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems
In this paper, a chattering-free sliding-mode control is mainly proposed in a second-order discrete-time system. For achieving this purpose, firstly, a suitable control law would be derived by using the discrete-time Lyapunov stability theory and the sliding-mode concept. Then the input constraint is taken into account as a saturation function in the proposed control law. In order to guarantee ...
متن کامل