# nonlinear system

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Related to nonlinear system: nonlinear control system

## nonlinear system

[′nän‚lin·ē·ər ′sis·təm]
(mathematics)
A system in which the interrelationships among the quantities involved are expressed by equations, some of which are not linear.
(science and technology)
A system in which outputs are not linear functions of vectors whose components represent the inputs.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Consider the following nonlinear system with control input u:
Section 3 gives some preliminaries on the nonlinear systems class of study and the state transformation.
A TS model describes a nonlinear system using a collection of local linear time invariant (LTI) models, which are interpolated by nonlinear functions known as weighting functions.
When using the SDRE method, the nonlinear system dynamics equations are transformed into SDC (state-dependent coefficients) form [5, 6].
Consider an input delay nonlinear system, where the delay value is time varying and known as D(t), described as below:
Therefore, the proposed controller has encountered the angular position control issue without linearizing nonlinear system. As a conclusion, the proposed fuzzy PID controller shows better and satisfactory control performance against external disturbance for nonlinear system compared to classical linear PID controller.
In this part, the T-S models optimized are used to identify three systems: a nonlinear plant modelling problem, the Box-Jenkins gas furnace benchmark, and identification of nonlinear system.
Consider the following nonlinear system, which is a maneuvering target tracking model with unknown inputs.
In this paper, parameter estimation of nonlinear system is transformed into a multidimensional parameter optimization problem by constructing an appropriate fitness function, and then a method based on improved boundary chicken swarm optimization (IBCSO) is proposed for the multidimensional parameters optimization problem.
In fact, the products include many critical parts and should be regarded as multidegree of freedom system and nonlinear system by nature.
In the engineering practice, the nonlinear systems are almost everywhere.
Consider the single-input single-output nonlinear system [SIGMA], described by the i/o equation of the form

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