In this paper, the method of modern control approach for the design of controller and observer is used. Other functions such as neural controllers - or fuzzy sliding mode control can be found in this work and the results are compared. First, a dynamic model of the servo valve is intended for the governing equations in state-space form expression are obtained. Due to the system integrator is exp...

In this paper, a fast smooth second-order sliding mode control is presented for a class of stochastic systems with enumerable Ornstein-Uhlenbeck colored noises. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the d...

Second order sliding mode control synthesis is developed for underactuated mechanical systems, operating under uncertainty conditions. In order to locally stabilize an underactuated system around an unstable equilibrium, an output is specified in such a way that the corresponding zero dynamics is locally asymptotically stable. Then, the desired stability property of the closed-loop system is pr...

Using the concept of dynamic sliding mode control, an asymptotic robust controller for high order nonlinear systems is presented. In this approach, a n-order nonlinear system is transformed into a first order system through systematic backstepping design and then it will be shown that the control objective is equivalent to design a robust control law for a 2 order auxiliary system with only out...

A state observer is a system that models a real system in order to provide an estimate of the internal state of the system. The design techniques and comparison of four different types of state observers are presented in this paper. The considered observers include Luenberger observer, Kalman observer, unknown input observer and sliding mode observer. The application of these observers to a Mul...

In this article, a novel second order sliding mode control strategy is proposed for relative-degree-2 nonlinear uncertain single- input-single-output (SISO) systems. To design the strategy, phase portrait of system in normal form associated with formulated problem studied. A surface switching between arcs parabolas conceived to ensure convergence predefined-time desired mode. Lyapunov-based ana...

This paper is concerned with sliding mode observer design and observer-based sliding mode controller synthesis for stochastic Itô descriptor systems. A novel integral sliding surface, which involves a product of sliding variable and a negative definite matrix, is constructed for the error system. It is shown that the product term not only has a stabilizing effect on the sliding variable, but al...