Summary An adaptive prescribed performance control design procedure for a class of nonlinear pure‐feedback systems with both unknown vector parameters and unmodeled dynamics is presented. The lie within some bounded functions, which are assumed to be partially known. A state transformation an auxiliary system proposed avoid using the cumbersome formula handle nonaffine structure. Simultaneously, parameter‐type Lyapunov function L designed ensure system. As illustrated by examples, scheme...

Previous studies typically assume that output constraints are symmetric or time-invariant. However, effectively addressing asymmetric and time-varying remains an unsolved issue, especially in the case of switched non-square multi-input multi-output (MIMO) nonlinear systems. To tackle this challenge, paper first establishes a prescribed-time (PT) Lyapunov criterion for Second, mapping (ANM) method is proposed to handle constraints. Compared barrier function (BLF) approach, ANM relaxes initial...

This article studies the output regulation problem (ORP) for nonlinear systems based on prescribed performance control (PPC). The items with partial derivative of virtual controller are combined together by using backstepping, and then fuzzy logic (FLSs) used to approximate these items, so that designed does not have previous controllers. Therefore, this method only reduces calculation burden in backstepping method, but also avoids disadvantages dynamic surface (DSC). Finally, a function...

Although the two-step sequential deposition method provides an efficient route to fabricate high performance perovskite solar cells (PSSCs) with increasing reproducibility, inefficient and incomplete conversion of PbI2 is still quite a challenge. Following pioneering works, we found that process from mainly involves diffusion, infiltration, contact reaction. In order facilitate perovskite, demonstrate effective regulate supersaturation level (the driving force crystallization) by...

Abstract This paper studies the full‐state and input constraints of uncertain nonlinear pure‐feedback systems. The radical constraint functions are proposed, which avoids drawbacks barrier Lyapunov logarithmic functions. At same time, a control algorithm based on fuzzy is proposed to avoid "explosion terms" problem backstepping method. In addition, this an Assumption nonaffine function, reduces conservatism increases applicability algorithm. so that all signals closed‐loop system...

This paper deals with the reliable finite-frequency H∞ control problem for switched systems actuator faults and mode-dependent average dwell time (MDADT). The objective of designing controllers is to guarantee stability robustness closed-loop system in case faults. fault solved using convex combination method. A performance index first defined frequency domain, then a condition derived by generalised Kalman-Yakubovic˘-Popov (GKYP) lemma. Combined MDADT approach linear matrix inequality...

Abstract This paper studies the finite time stabilization control (FTSC) problem of nonlinear systems with unknown functions and full‐state constraints (FSCs). A lemma dealing is put forward so that assumptions “explosion terms” (EOT) backstepping are avoided. Compared approximation algorithms, this algorithm can make system states converge to origin in a time. On other hand, new logarithmic constraint function utilized solve drawback barrier Lyapunov (BLFs). Then, combined (FTC), an FTSC...

The output regulation problem for pure-feedback non-linear systems with prescribed performance (PP) driven by an external linear system unknown parameter are investigated. First, observer a disturbance signal is designed to observe unmeasured states. Secondly, fuzzy logic (FLS) used approximate non-affine functions. Thirdly, internal model obtained reject disturbance, and adaptive feedback algorithm proposed based on dynamic surface control (DSC) technique backstepping method....

Abstract This article studies the finite‐time output regulation problem for nonlinear strict‐feedback systems with completely unknown control directions and functions. First, according to necessary conditions solvability of problem, external system is transformed into a stabilization systems. Second, an internal model signals designed. Third, based on finite time, fuzzy control, feedback Nussbaum gain functions, law designed so that all closed‐loop are semi‐global practically stable (SGPFS),...

The paper investigates the global adaptive output regulation problem (ORP) for nonlinear systems with full-state constraints (FSCs). First, in order to avoid disadvantages of barrier Lyapunov functions (BLFs) method and logarithmic constraint functions, radical is proposed solve FSCs systems. Second, a new internal model designed based on regulator equations. Third, ORP transformed into stabilization problem. Then, according changing supply analysis method, non-backstepping control algorithm...

Abstract In this article, a control algorithm is proposed to solve the global stabilization problem of multiple input output (MIMO) nonlinear systems with unknown function vectors (UFVs). Firstly, Lemma dealing UFVs proposed. Then, combined backstepping method, controller designed such that all signals closed‐loop system are globally stable. Compared approximation in article solves problem. assumptions UFVs, reduces conservatism At same time, also “explosion terms” backstepping. methods...