Summary This article considers the parameter estimation for a fractional‐order nonlinear finite impulse response system with colored noise. For systems, challenge and difficulty are to identify order parameters of systems simultaneously under noise disturbances. In reduce problem redundant estimation, output form can be expressed by linear combination unknown through separation key term separation. A auxiliary model gradient‐based iterative algorithm is derived using negative gradient...

Summary This article focuses on the parameter estimation issues for a fractional‐order nonlinear system with autoregressive noise. In process, challenge and difficulty are to identify parameters of as well order. To reduce complexity structure, we split into two subsystems by utilizing hierarchical identification principle derive two‐stage gradient‐based iterative (2S‐GI) algorithm minimizing criterion functions. Compared calculation amount algorithm, computation 2S‐GI is significantly...

This paper deals with the problem of fuzzy boundary control design for a class nonlinear distributed parameter systems which are described by semilinear parabolic partial differential equations (PDEs). Both measurement form and collocated considered. A Takagi–Sugeno (T–S) PDE model is first applied to accurately represent system. Based on T–S model, two types controllers, easily implemented since only actuators used, proposed ensure exponential stability resulting closed-loop Sufficient...

This paper deals with the problem of exponential stabilization for nonlinear parabolic distributed parameter systems using Takagi-Sugeno (T-S) fuzzy partial differential equation (PDE) model, where a finite number actuators are active only at some specified points spatial domain (these referred to as pointwise actuators). Three cases state feedback respectively considered in this study follows: full feedback, piecewise and collocated feedback. It is initially assumed that T-S PDE model...

This paper employs a Takagi-Sugeno (T-S) fuzzy partial differential equation (PDE) model to solve the problem of sampled-data exponential stabilization in sense spatial ∥·∥ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> for class nonlinear parabolic distributed parameter systems (DPSs), where only few actuators and sensors are discretely space. Initially, T-S PDE is assumed be derived by sector nonlinearity method accurately describe...

This paper deals with the exponential stabilization problem for a class of nonlinear spatially distributed processes that are modeled by semilinear parabolic partial differential equations (PDEs), which finite number actuators used. A fuzzy control design methodology is developed these systems combining PDE theory and Takagi-Sugeno (T-S) fuzzy-model-based technique. Initially, T-S model proposed to accurately represent system. Then, based on model, Lyapunov technique used continuous state...

In this paper, a distributed fuzzy control design based on Proportional-spatial Derivative (P-sD) is proposed for the exponential stabilization of class nonlinear spatially systems described by parabolic partial differential equations (PDEs). Initially, Takagi-Sugeno (T-S) PDE model to accurately represent system. Then, T-S model, novel P-sD state feedback controller developed combining theory and Lyapunov technique, such that closed-loop system exponentially stable with given decay rate....

This paper considers the problem of fuzzy control design for a class nonlinear distributed parameter systems that is described by first-order hyperbolic partial differential equations (PDEs), where actuators are continuously in space. The goal this to develop state-feedback methodology these employing combination PDE theory and concepts from Takagi-Sugeno (T-S) control. First, T-S model proposed accurately represent system. Subsequently, based on fuzzy-PDE model, Lyapunov technique used...

This paper gives a membership-function-dependent approach to solve the design problem of fuzzy pointwise state feedback controller for class nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs), where only few actuators are discretely in space. In proposed method, Takagi-Sugeno (T-S) PDE model obtained using sector nonlinearity method is first utilized accurately describe spatiotemporal dynamics system. As information at some known...

Bottom depth ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>H</mml:mi> </mml:math> ) of optically shallow waters can be retrieved from multiband imagery, where remote sensing reflectance <mml:msub> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mtext>rs</mml:mtext> </mml:msub> are commonly used as the input. Because difficulties removing atmospheric effects in coastal areas, quite often, there no valid satellites for retrieval . More importantly,...

This paper deals with the problem of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> fuzzy control design an input constraint for a class coupled systems, which consist n-dimensional nonlinear subsystem ordinary differential equations (ODEs) and scalar linear parabolic partial equation (PDE) connected in feedback. Initially, system is represented by Takagi-Sugeno (T-S) fuzzy-coupled ODE-PDE model. Then, based on model parallel...

This paper proposes an adaptive neural boundary feedback control design for a nonlinear flexible distributed parameter system described by nonuniform wave equation containing unknown function in the conditions. In proposed method, radial-basis-function network (NN) with weight update law is used to approximate term. By using this NN, controller constructed ensure that resulting closed-loop practically exponentially stable. The stability of analyzed Lyapunov direct method and technique...