In this paper we consider the stabilization of hybrid systems with both continuous and discrete dynamics via predictive control. To deal with the presence of discrete dynamics we adopt a “hybrid” control Lyapunov function approach, which consists of using two different functions. A Lyapunov-like function is designed to ensure finite-time convergence of the discrete state to a target value, whil...

---------------------------------------------------------------------***--------------------------------------------------------------------Abstract – In this paper decentralized sliding mode load frequency control is constructed for multi area power system with matched and mismatched parameter uncertainties. The proportional and integral switching surface is designed for each area to enhance t...

This paper is concerned with the decentralized control problem of networked high-order nonlinear systems that can be transformed into strict feedback forms parameter uncertainties and unknown directions under a directed communication graph. A controller designed recursively for each agent to realize output synchronization guarantee overall system bounded. Instead Lyapunov-based argument which c...

Abstract A novel neural adaptive integral terminal sliding mode control for decentralized fault-tolerant strategy, including the surface, nonlinear disturbance observer, radial basis network and robust controller, is presented in this paper to achieve of modular robot manipulators. First, designed controller. Then, boost performance controlled system, observer are introduced approximate terms d...

This work proposes a neural-fuzzy sliding mode control scheme for a hydro-turbine speed governor system. Considering the assumption of elastic water hammer, a nonlinear mode of the hydro-turbine governor system is established. By linearizing this mode, a sliding mode controller is designed. The linearized mode is subject to uncertainties. The uncertainties are generated in the process of linear...

The paper presents a new method for higher order sliding mode control using control Lyapunov function for chain of integrator system with nonlinear uncertainties. The stability proof of the suggested scheme is analyzed in terms of two Lyapunov functions using appropriate switching function. Using these Lyapunov functions and switching scheme it is proved that, output and its higher order deriva...

This Letter deals with the synchronization problem of a class of neural networks with/without time delays. Based on the drive–response concept and the Lyapunov stability theorem, a delay-independent and decentralized control law is derived to achieve the exponential synchronization. Two illustrative examples are given to demonstrate the effectiveness of the presented synchronization scheme.  2...

This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. It is proved that a switched linear system is exponentially stabilizable if and only if there exists a piecewise quadratic control-Lyapunov function. Such a converse control-Lyapunov function theorem justifies many of the earlier synthesis methods tha...

This paper considers a sampling–based approach to stability verification for piecewise continuous nonlinear systems via Lyapunov functions. Depending on the system dynamics, the candidate Lyapunov function and the set of initial states of interest, one generally needs to handle large, possibly non– convex or non–feasible optimization problems. To avoid such problems, we propose a constructive a...

In this paper the existence of a quadratic control Lyapunov function for bilinear systems is considered. The existence of a control Lyapunov function ensures the existence of a control law which ensures the global asymptotic stability of the closed loop control system. In this paper we will derive conditions for the existence of a control Lyapunov function for bilinear systems. These conditions...