Non-linear estimation is easy
TLDR
Non-linear state estimation and some related topics like parametric estimation, fault diagnosis and perturbation attenuation are tackled here via a new methodology in numerical differentiation within the framework of differential algebra.Abstract:
Non-linear state estimation and some related topics like parametric estimation, fault diagnosis and perturbation attenuation are tackled here via a new methodology in numerical differentiation. The corresponding basic system theoretic definitions and properties are presented within the framework of differential algebra, which permits to handle system variables and their derivatives of any order. Several academic examples and their computer simulations, with online estimations, illustrate our viewpoint.read more
Citations
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Journal ArticleDOI
Model-free control
Michel Fliess,Cédric Join +1 more
TL;DR: Model-free control and the corresponding ‘intelligent’ PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into account.
Journal ArticleDOI
Brief paper: Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance
Wei Wang,Changyun Wen +1 more
TL;DR: A new controller design scheme based on a prescribed performance bound (PPB) which characterizes the convergence rate and maximum overshoot of the tracking error and can improve transient performance compared with the basic scheme is proposed.
Journal ArticleDOI
On the Control of the Permanent Magnet Synchronous Motor: An Active Disturbance Rejection Control Approach
Hebertt Sira-Ramírez,Jesus Linares-Flores,Carlos Garcia-Rodriguez,Marco Antonio Contreras-Ordaz +3 more
TL;DR: The proposed high-gain GPI observer-based ADR controller is justified in terms of a singular perturbation approach and verified by means of realistic computer simulations, using the MATLAB/SIMULINK-PSIM package.
Journal ArticleDOI
Model-Free Control and Intelligent PID Controllers: Towards a Possible Trivialization of Nonlinear Control ?
Michel Fliess,Cédric Join +1 more
TL;DR: A model-free control and a control with a restricted model for finite-dimensional complex systems that may be viewed as a contribution to "intelligent" PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems.
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Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?
Michel Fliess,Cédric Join +1 more
TL;DR: In this paper, a model-free control and a control with a restricted model for finite-dimensional complex systems are presented, which can be viewed as a contribution to intelligent PID controllers.
References
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Book
Applied Nonlinear Control
TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
Book
Nonlinear Control Systems
Alberto Isidori,M. Thoma,Eduardo D. Sontag,B. W. Dickinson,A. Fettweis,J. L. Massey,J. W. Modestino +6 more
TL;DR: In this paper, a systematic feedback design theory for solving the problems of asymptotic tracking and disturbance rejection for linear distributed parameter systems is presented, which is intended to support the development of flight controllers for increasing the high angle of attack or high agility capabilities of existing and future generations of aircraft.
Book
Commutative Algebra: with a View Toward Algebraic Geometry
TL;DR: In this article, the authors define basic constructions and dimension theory, and apply them to the problem of homological methods for combinatorial problem solving in the context of homology.
Book
Introduction to Commutative Algebra
TL;DR: It is shown here how the Noetherian Rings and Dedekind Domains can be transformed into rings and Modules of Fractions using the following structures:
Book
Robust Model-Based Fault Diagnosis for Dynamic Systems
Jie Chen,Ron J. Patton +1 more
TL;DR: Robust Model-Based Fault Diagnosis for Dynamic Systems targets both newcomers who want to get into this subject, and experts who are concerned with fundamental issues and are also looking for inspiration for future research.