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This paper investigates the generalized nonlinear resilient H∞ filter design problem for discrete-time systems with uncertain and nonlinear parameters. The uncertain parameters are assumed to have norm-bounded form and the nonlinear parameters are assumed to have Lipschitz form. We aim to design a generalized nonlinear resilient H∞ filter such that the stability and the H∞ performance of filtering...
A robust fault estimation (FE) method is proposed for Lipschitz nonlinear Markov jump system (MJS) based on unknown input observer (UIO). Firstly, the robust UIO is designed under the unknown input and output noise. Then the state estimation error system is established by combining the observer estimated states with real system states. When the error system is stable, the system states and the actuator...
This paper deal with the problem of H∞ robust fault estimation for discrete time nonlinear system with a sector bounded nonlinear additive terms and multiple bounded state delay using the Takagi-Sugeno (T-S) fuzzy model. A fuzzy-fault estimation observer (FFEO) design is proposed to achieve fault estimation of T-S state delay models using fuzzy Lyapunov functions (FLF) with actuator and sensor faults...
In this paper, the design of a switched non-PDC controller, for a class of switched nonlinear systems subject to external disturbances is investigated for the purpose of satisfying robust H∞ output-feedback tracking performances. Based on multiple switched non quadratic-like Lyapunov functions, sufficient conditions for the existence of a switched non-PDC controller are formulated in terms of Linear...
In this paper, the decentralized robust output-feedback tracking control problem is investigated for a class of uncertain nonlinear interconnected systems subject to high order time varying disturbances. Firstly, generalized-proportional-integral observers (GPIOs) are designed for every subsystems such that the disturbances and unmeasured states can be recovered. Then, based on the estimation information...
In this paper, a new nonlinear loop transfer recovery control method is proposed for nonlinear systems with non-Gaussian noise. For the proposed control scheme, a dynamical feedback and an optimized cubature Kalamn filter is combined. With such method, it is shown that the deviation of the set point and the system's output could be amended by the dynamical feedback gain matrix properly, the accuracy...
The paper proposes the novel switched sliding mode control to enhance the performance of the control system with uncertainties and disturbances and adjust control behaviors to the status. With a small and moderate augmentation of the complexity, the performance of control systems is increased by the control method, which is with a new type of the reaching law — robust global high-speed finite-time...
In industrial control, there are a large number of nonlinear strongly coupled controlled objects with external disturbance. It is difficult to control the object of such a good effect with classical control theory. Aiming at the problem of disturbance rejection, decoupling and tracking control of this kind of system, PIDNN controller is adopted in this paper, and its weight correction algorithm is...
In this paper, operator-based fault tolerant control of the nonlinear feedback system with perturbations is studied by using robust right coprime factorization. In details, a new robust fault tolerant control strategy is proposed, wherein the fault tolerant controller combined with a tracking compensator is designed, such that the stability of the system is guaranteed, the influence of external disturbance...
This study elucidates a robust control scheme for pseudolinear systems that are subject to some uncertainties. Pseudolinear systems are nonlinear systems that are fully feedback linearizable. The system involves robust pole assignment (RPA) control, quasi-similarity transformation (QST), and approximate feedback linearization (AFL). First, using the results of exact feedback linearization (EFL), we...
In this paper, robust stability and perturbations rejection of perturbed nonlinear systems with disturbance are considered by using the operator-based right coprime factorization technique. That is, when both perturbation and disturbance exist in nonlinear systems, robust control design scheme is proposed for guaranteeing the uncertain nonlinear systems to work stable based on the proposed condition...
Backstepping-based, robust stabilization procedure for nonlinear systems with time-varying parameters is presented. First a general approach for nonlinear parameter dependence is developed, then the special case of a linear-in-parameters system is considered. Possible simplifications of the design and benefits of this system structure are discussed and illustrated by examples.
A model-based control design method is developed for nonlinear reactive sputter processes that can be modelled by a nonlinear ordinary differential equation with linear input and stable and unstable equilibrium states. The controller shall robustly stabilize the unstable working points. Lyapunov's direct method is used to formulate stability conditions that respect possible uncertainties in the process...
This paper presents the foundation of a new class of input shapers, designed using a predictive approach. The method is used to control the transient and residual vibrations in flexible nonlinear systems with time-varying parameters. The motivation is the development of simple algorithms and architectures for controlling the motion in flexible nonlinear systems with minimal modeling effort. The approach...
The problem of H∞ fault detection filtering for a class of discrete-time nonlinear system based on T-S fuzzy model is investigated in this paper. In the filtering network system, packet dropout and networked time-delay are considered simultaneously. An event-triggered communication scheme is constructed to determine whether or not the current instant data should be transmitted. Fault detection filter...
A modular approach of the estimation-based design in the adaptive linear control systems has been extended to the adaptive robust control of strict-feedback stochastic nonlinear systems with additive standard Wiener noises and constant unknown parameters. Using Itô differentiation rule, nonlinear damping and adaptive Backstepping procedure, the disturbance-to-state stable controller of global stabilization...
Constant-Power Load (CPL) introduces destabilizing effect to dc-dc converters, which may lead to voltage oscillation or collapse. To mitigate the destabilizing problem brought by CPL, a nonlinear boundary controller is proposed in this paper, which has a nonlinear switching line. The converters' dynamics on the state space plane is analyzed through phase portrait. The proposed controller is verified...
This paper presents a variable coefficient nonsingular fast terminal sliding mode (VCNFTSM) control method with the extended state observer (ESO) for a class of second-order uncertain SISO nonlinear systems subject to external disturbance. First, a new variable coefficient double exponential reaching law is combined with NFTSM surface function to get finite time fast convergence in both reaching phase...
This study investigates the problem of robust finite-time H∞ control for nonlinear system with parameter uncertainties and one-side Lipschitz via output feedback. The nonlinear function is considered to satisfy nonlinear condition. By means of Linear matrix inequality (LMI) techniques, design algorithms of static output feedback controller are developed. Finally, numerical examples are presented to...
This paper is concerned with the problem of stochastic stabilization and H∞ control for a class of continuous-time nonlinear Markovian jump systems (MJSs) described by Takagi-Sugeno (T-S) fuzzy models. Based on a mode-dependent fuzzy Lyapunov function and by introducing slack matrix variables, we propose a new less conservative sufficient condition for the mode-dependent fuzzy controller in terms...
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