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 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