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As is well known, quantization is necessary for network control systems to reduce transmission congestions. In the paper, the exponential stabilization problem is investigated for a class of discrete-time switched cascade systems via Takagi-Sugeno (T-S) fuzzy quantized feedback control approach. The switched cascade nonlinear system is firstly modelled as a switched T-S fuzzy system. Based on mode-dependent...
For stability analysis of discrete-time arbitrary switching positive linear systems, we introduce a new class of switched copositive Lyapunov functions (abbreviated as CLFs) and we investigate their test power. The new class means “switched max-type CLFs” and it is defined by generalizing the “mode-independent max-type CLFs” (that were introduced and characterized by our previous works). This generalization...
This paper analyzes multi-switching network transmission synchronization (MSNTS) problem among three uncertain chaotic systems with unknown parameters. By constructing the effective switching rules, the definition of MSNTS is given and the synchronization schemes are proposed to reach synchronization between any different states of each derive system and any desired states of every respond system...
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 unknown input observer design problem for the discrete-time switched system is considered. Firstly, the stability analysis based on multiple discontinuous Lyapunov function is discussed for the discrete-time switched system under the mode-dependent average dwell time concept. Then, based on such the stability analysis method, a reduced-order observer is constructed. Based on the...
In this paper, the problem of finite-time stabilization for switched stochastic nonlinear systems is investigated. The power orders of switched stochastic systems are dependent of the switching signals. Under reasonable conditions, a controller is designed by adding a power integrator technique. It is shown that the system state converges to the origin almost surely in a finite time.
This work is concerned with dynamic output feedback control for a class of switched systems with mode-dependent average dwell time switching. By constructing a quasi-time-dependent Lyapunov function, the issues of global uniform exponential stability and ℓ2-gain analysis for the switched system are addressed firstly. Then a set of reduced-order output feedback controllers is designed, which is both...
For two-qubit systems with a degenerate measurement operator, this paper presents a control approach to achieve rapid stabilization to a target Bell state. This approach uses two control channels where the control laws associated with these two channels are designed as a constant and a switching control law, respectively. In the control scheme, the system state space is divided into two parts: the...
We consider the robust control design for the boost-pressure control of an exhaust-gas turbocharger of an internal combustion engine. We design a sliding-mode controller using the super-twisting algorithm. In our main contribution we present a thorough stability analysis based on two different Lyapunov functions, one for the reaching phase and one for the sliding-phase. Additionally, we consider state-constraints...
This paper proposes a model reference adaptive sliding mode control scheme for switched linear system. The reference system is also designed as switched system. By feedback the tracking error between the switched system and the switching linear system, the plant system can track its desired dynamic responses. Also, to improve the robustness and anti-disturbance capacity, the sliding mode controller...
In this paper, the problem of adaptive tracking control is developed for a class of nonstrict-feedback switched nonlinear constrained systems. Backstepping technology combined with fuzzy logic systems (FLSs) are employed to estimate the unknown nonlinear functions of the switched constrained systems. By using the dynamic surface control (DSC) technology, the “explosion of complexity” can be reduced...
In this article, the output-feedback stabilization problem is investigated for discrete-time interval uncertain positive systems under the performance. First, we propose some conditions expressed by linear programming to ensure the asymptotic stability and the ℓ1 performance for given positive systems. Then, we establish a novel design approach and an iterative algorithm to obtain the desired output-feedback...
In this paper, the concept of global asymptotic stability in probability (GAS-P) is investigated for a class of nonlinear switching and impulsive systems with random disturbances, whose second-order moments are finite. Using average switching and impulsive interval approach, we show that when the average interval is large enough, a switching and impulsive system is GAS-P if all of its constituent...
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...
The paper is concerned with asynchronous control for fuzzy switched systems with actuator saturations. Based on controller-mode-dependent piecewise Lyapunov function, the asynchronous controllers are designed to ensure the exponential stability. The asynchronous controllers mean that the switching of the controllers has a lag with that of subsystem. Moreover, the corresponding switching laws with...
This paper focuses on an anti-disturbance problem for the switched systems subject to input saturation and disturbances. The matched and mismatched disturbances with control input are both considered. Based on the differential inclusion treatment of the saturation nonlinearity, a controller which includes state feedback control part and an extra control part is proposed to locally stabilize the system...
This paper investigated the problem of finite-time L∞ controller design for time-delay nonlinear switched systems. Our purpose is to construct appropriate conditions to guarantee the switched systems are not only finite-time bounded, but also have the L∞ disturbance rejection performance. Based on the multiple Lyapunov functions and average dwell-time method, the closed-loop systems have a specified...
For a class of discrete-time nonlinear switched systems which contains stable and unstable subsystems, the issue for stability analysis and L2-gain is studied. The Takagi and Sugeno (T-S) fuzzy model is adopted to represent each subsystem. By this means, the class of discrete-time nonlinear switched systems are modeled into the discrete-time switched T-S fuzzy systems. The mode-dependent average dwell...
The problem of finite time control of spacecraft formation is investigated in this paper. A nonsingular fast terminal sliding mode (NFTSM) control scheme is proposed by using Chebyshev Neural Network (CNN) for spacecraft formation. A nonsingular fast terminal sliding mode (NFTSM) control strategy is designed for spacecraft formation flying. In order to approximate the desired nonlinear function and...
In this paper, exponential stability of switched positive linear systems (SPLSs) composed of all unstable modes is first investigated. Through minimum dwell time and fast average dwell time (ADT) approach, sufficient conditions of exponential stability of SPLSs without stable subsystems are derived. The main idea is to utilize the decrement of energy functions caused by switching to compensate the...
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