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This paper is concerned with the observer-based sliding mode control (SMC) for switched stochastic systems with unmeasurable states under asynchronous switching. The state observers are designed to estimate the system states, and its switching legs behind that of the system. Based on the state estimate, the SMC problem is considered. First an integral type sliding surface is constructed and sufficient...
This paper is concerned with the parameter and state estimation problem in the presence of the observer gain perturbations for a class of fractional order nonlinear systems which are linear in the unknown parameters and nonlinear in the states. According to the equivalent frequency distributed model of fractional integrator, the direct Lyapunov approach is adopted to derive a nonlinear adaptive non-fragile...
Improved state coordinates transformations are used to design static and reduced-order dynamical stabilizers for linear time invariant (LTI) system. Free variable matrices are proposed in the transformations to stabilize pivotal submatrices of new state space representations. The stabilizers can be determined if corresponding linear matrix inequalities (LMIs) are feasible.
This paper focuses on the problem of the robust H∞ control with circular pole constraints in uncertain singular systems. Firstly, the concept of quadratic d stablizability with an H∞ norm-bound is introduced for the uncertain continuous-time singular system. Secondly, the robust H∞ control problem is solved in the uncertain continuous-time singular systems, on the basis of circular pole constraints...
This paper focuses on the problem of cluster synchronization of a class of complex dynamical networks. Based on impulsive control theory and a comparison theorem, generic criteria for cluster synchronization are derived. It is shown that these criteria provide a novel and effective control approach to synchronize a general dynamical network to a cluster synchronization manifold by exposing the relationship...
By using non-Hermitian random matrix theory, the spectra of adjacency matrices of directed complex networks are analyzed. Both the short-range and long-range correlations in the eigenvalues are numerically calculated for typical directed complex networks and compared with the predictions of Ginibre's Ensemble. The spectral density ρ(λ), the nearest neighbor spacing distribution p(s) and the number...
This paper deals with the H∞ control for a class of continuous-time networked control systems based on continuous-time Markov chains. Firstly, with controller switching strategy, a class of linear continuous-time networked control systems are modeled as continuous-time Markov jump linear systems. Secondly, using the Lyapunov functional approach, sufficient conditions on the existence of an H∞ controller...
In this paper, a distributed attitude consensus tracking control law is proposed for satellite formation flying by using sliding mode method. First, graph theory and Modified Rodriguez Parameters (MRPs) are introduced to describe the relation and dynamics of the team. Second, distributed terminal sliding mode observers are constructed to estimate the velocity state of rigid bodies in the team. The...
For a class of solvable T-S fuzzy descriptor system with delayed state and saturating input, delay-independent and delay-dependent, stability conditions are correspondingly established using Lyapunov-Krasovskii approach. The stability domain may be enlarged by applying a fuzzy anti-windup compensator to the considered system, and the problem of solving stability domain can be cast into the convex...
This paper concerns the problem of output strictly passive control and input strictly passive control for neutral systems. The aims at designing state feedback controllers so that the neutral systems are asymptotical and output or input strictly passive. In terms of a linear matrix inequality (LMI) and Lyapunov function, the strictly passive criteria is formulated. And the desired passive controller...
This paper considers the state feedback stabilization over finite-state fading channels, where the stochastic characteristic of time-varying fading channels is assumed to be driven by a finite-state random process. The finite-state process is used to represent different channel fading amplitudes and/or to model different configurations of the overall physical environment. Necessary and sufficient...
This paper is concerned with the problem of quantized H∞ control for discrete-time networked control systems (NCSs) with random communication delays and packet dropouts. By choosing appropriate Lyapunov functional, sufficient conditions for the existence of quantized H∞ controller is derived, such that the closed-loop discrete-time networked control systems is robustly asymptotically mean-square stable...
This paper investigates the cooperative tracking control problem for networked uncertain Lagrange systems on digraphs. By using the universal approximation capability of fuzzy logic systems, a distributed adaptive fuzzy tracking control protocol is proposed. Based on graph theory and Lyapunov theory, the convergence analysis for the proposed algorithm is provided. The development in this paper is...
This paper is concerned with the design problem of multi-sensor optimal H∞ fusion controller for a class of discrete-time systems with missing measurements. Based on Lyapunov theory and linear matrix inequality technology, the centralized and distributed fusion controllers are designed, respectively such that, for all possible missing measurements, the closed-loop systems are asymptotically stable...
In this paper, the problem of H∞ filtering for a class of nonlinear systems based on prey-predator model is considered. Taking into account the nonlinearity of the prey-predator systems, the model of these systems is constructed. Then, via Lyapunov stability theory and linear matrix inequality technique, the method of H∞ filter design for nonlinear prey-predator systems with stage structure and external...
This note addresses the problem of finite-time H∞ control for a class of extended Markovian jump systems. The stochastic process of given system is described by a Markovian chain, and the knowledge of transition jump rates is inaccurate. In this case, the theoretical results on finite-time boundedness, H∞ finite-time boundedness and finite-time H∞ state feedback stabilization, are developed, respectively...
Switched interval system is a kind of special switched system whose parameter matrix changes in a limited and known range. Because switched property and interval matrix exist simultaneously, the structure of switched interval system is more complicated than common switched system. The fault detection problem is studied in this paper. The method of common lyapunov function is used under arbitrary switching...
This paper is concerned with robust stability for uncertain discrete-time Lur'e systems with interval time-delay and sector bounded nonlinearity. By dividing the variation interval of the time delay into two subintervals and using a novel sum-inequality, some new delay-dependent robust stability criteria are derived in the form of linear matrix inequalities (LMIs) without using the general free-weighting...
This paper studies the Linear Parameter Varying (LPV) Takagi-Sugeno (T-S) fuzzy gain scheduling control of Wind Turbine Generation System (WTGS) below rated wind speed. The T-S fuzzy linearization approach is used to deal with the Affine Nonlinear Parameter Varying (ANPV) model of WTGS and the LPV T-S fuzzy model with required accuracy is obtained. Considering the maximum utilization of wind energy...
This paper investigates the asymptotic synchronization for the directed and undirected dynamical networks with different dimensional nodes and nonlinearly coupled functions. Besides, the nodes in the network model discussed here are dissipatively coupled and similar and their coupling coefficients between different nodes permit negative. For this kind of network model, the synchronization manifold...
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