Definition Nonlinear control systems are those control systems where nonlinearity plays a significant role, either in the controlled process (plant) or in the controller itself. Nonlinear plants arise naturally in numerous engineering and natural systems, including mechanical and biological systems, aerospace and automotive control, industrial process control, and many others. Nonlinear control...

Repetitive controllers are generally applied to reject periodic disturbances and to track periodic reference signals with a known period. Their design is based on The Internal Model Principle, proposed by Francis and Wonham. This paper describes a new finite-dimensional SISO repetitive controller for two different classes of nonlinear plants. Simulation results show asymptotic tracking of the p...

This paper presents an adaptive nonlinear position controller with velocity constraint, capable of combining the input-output linearization technique and Lyapunov stability theory. Based on the Lyapunov stability theory, the adaptation law of the proposed controller is derived along with the verification of the overall system’s stability. Computer simulation results demonstrate that the propose...

An unknown linear plant will track an input command signal if the plant is driven by a controller whose transfer function approximates the inverse of the plant transfer function. An adaptive inverse identification process can be used to obtain a stable controller, even if the plant is nonminimum phase. A model-reference version of this idea allows system dynamics to closely approximate desired ...

In real life we often come into contact with nonlinear systems. In this paper we will concentrate on two methods dealing with the problem of nonlinear system control. As the first method we will use the self-tuning regulator and as the second multiple-model control. Both of the methods mentioned above will be verified by computer simulation. As a controlled system a simple cylindrical tank with...

N UMEROUS fields of science and engineering present the problem of uncertainty propagation through nonlinear dynamic systems [1]. One may be interested in the determination of the response of engineering structures: beams/plates/entire buildings under random excitation (in structure mechanics [2]), the motion of particles under the influence of stochastic force fields (in particle physics [3]),...

There is a growing interest in the modeling and control of model helicopters using nonlinear dynamic models and nonlinear control. Application of a new intelligent control approach called Brain Emotional Learning Based Intelligent Controller (BELBIC) to design autopilot for an autonomous helicopter is addressed in this paper. This controller is applied to a nonlinear model of a helicopter. This...