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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...
This paper considers the global adaptive stabilization via output-feedback for a class of uncertain planar nonlinear systems. Different from the existing related literature, the systems under investigation are subjected to unknown control directions, and simultaneously allow linear unmeasured states dependent growth. To solve the problem, an adaptive output-feedback scheme is proposed, not only to...
The ability to conduct fast and reliable simulations of dynamic systems is of special interest to many fields of operations. Such simulations can be very complex and, to be thorough, involve millions of variables, making it prohibitive in CPU time to run repeatedly for many different configurations. Reduced-Order Modeling (ROM) provides a concrete way to handle such complex simulations using a realistic...
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...
This work investigates the adaptive finite-time tracking problem for a class of strict-feedback nonlinear systems with parametric uncertainties and symmetric constant output constraint. A tan-type Barrier Lyapunov Function (BLF) is proposed to ensure the boundedness of the output tracking error, and a new tuning function is given to eliminate the effect of uncertainties. It is theoretically shown...
An adaptive tracking control is proposed for a class of constrained nonlinear systems with hysteresis and uncertainty. Hysteresis and uncertainty may limit system performance such as giving rise to undesirable accuracy or oscillations, even leading to instability. First, Bouc-Wen model is used to describe the hysteresis, and the upper bound is derived. Then, a Barrier Lyapunov Function (BLF) is adopted...
Adaptive iterative learning control is a popular approach to control parametric time-varying systems over finite time interval. However, initial resetting condition limits the application of a large amount of learning control algorithms. In this paper, we propose a suboptimal iterative learning control for a class of dynamic parametric systems to solve this problem. An error-tracking control strategy...
This paper studies the issues of quasi-passivity, feedback quasi-passification for a class of switched nonlinear system using multiple storage functions. A quasi-passivity concept for a switched nonlinear system is proposed. Firstly, a state-dependent switching law is designed to render a switched nonlinear system quasi-passive. Secondly, quasi-passification is achieved by the design of a state-dependent...
In this study we introduce a Linear Parameter Varying (LPV) based controller design possibility for LPV systems with state and input uncertainties. Through the LPV framework the developed method can be used for the nonlinear system belongs to the given LPV system. The controller design approach effectively exploits the combination of the classical state feedback and matrix similarity theorems in order...
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 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 paper investigates the issue of fuzzy dynamic integral sliding-mode controllers for nonlinear descriptor systems based on Takagi-Sugeno (T-S) fuzzy models. A fuzzy dynamic integral sliding-mode control (DISMC) scheme is developed for the nonlinear descriptor systems to remove the restrictive assumption that all local models share a common input matrix, which is required in most existing fuzzy...
In this paper, the state extending and filtering robust control (SEFERC) is proposed and investigated. In the SEFERC, the uncertain nonlinear part of the MIMO is extend to the new state parameter and estimated by the nonlinear tracking filter. With the estimated value, by the direct feedback linearization (DFL) method and H∞ control method, the nonlinear system can be converted to the linear system...
In this paper a combined controller composed of the H∞ virtual controller and the sliding mode controller is proposed to improve the rigid spacecraft robustness. Considering the strong nonlinearity of the spacecraft dynamics, tensor product (TP) transformation is applied on the linear parameter varying (LPV) model which is obtained from the attitude kinematics system. The TP-based H∞ controller can...
This paper investigates the problem of adaptive almost disturbance decoupling for a class of generalized high-order uncertain nonlinear systems. The control strategy is on the basis of continuous domination and delicate adaptive technique and the adaptive state-feedback controller is one-dimensional irrespective of the number of unknown parameters. An appropriate nonlinear function and transformation...
A novel disturbance rejection control scheme is proposed to address the robust attitude control problem for the air-breathing hypersonic vehicle (AHV) with mismatched disturbances. The attitude control system is decomposed into two subsystems, the outer-loop subsystem and inner-loop subsystem. The predictive sliding mode control (PSMC) is utilized to attenuate mismatched model uncertainties imposed...
In this work, an event-triggered adaptive robust controller (ET-ARC) design is considered for a continuous-time nonlinear system combined with structural uncertainties and parameter uncertainties. In the event-trigger scheme, the controller only can obtain the sampled date of the output measurement at some certain instants determined by the designed triggering condition and therefore the performance...
In this paper, we consider the robust sliding mode control problem for a class of systems with norm bounded parametric uncertainty and external disturbance. Based on Lyapunov stability theory and linear matrix inequality approach, the proposed control scheme can achieve both asymptotic stability and some robust performances, and the corresponding robust controller that assures the occurrence of sliding...
In this article, we discuss the delay-dependent stochastic stability problem of nonlinear systems with Markovian jumping parameters. Provides a numerical example to verify the efficiency of this method.
This paper is concerned with the adaptive stabilization problem of high-order stochastic nonlinear systems with time-varying delay. Indeed, there exist lots of deterministic results for the system without uncertainty and time delay. However, owing to the existence of time varying delay, unknown parameters and the relaxed nonlinear terms, it is not easy to choose an appropriate Lyapunov-Krasoviskii...
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