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This paper mainly concerns the issue of asynchronously switched control for a class of continuous-time switched linear systems with persistent dwell time (PDT). Asynchronous switching implies that when a subsystem switches the matched controller remains active for a finite period of time, such that the Lyapunov-like function increases. A semi-time-dependent (STD) multiple Lyapunov-like function with...
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...
This paper addresses the attack frequency estimation for networked control systems suffering from denial of service (DoS) attacks. First, the networked control systems (NCSs) subjecting to DoS attacks are modeled as switched systems between normal systems and attacked systems. Secondly, by considering the worst scenario of DoS attacks with energy constraints, the maximum allowable update interval...
A switching adaptive controller is proposed to control the phase currents in brushless DC motor (BLDCM) drives. After deriving the error dynamics, the conduction and commutation periods of the drive is taken into account separately, and two different controllers are designed for each operation region of the current loop of BLDCM drives. All the system constants in the dynamical model of the drive...
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 the paper, the observer design problems for positive linear systems in terms of average dwell time (ADT) switching are addressed. Sufficient conditions which guarantee the error system is exponentially stable are proposed. All the conditions are shown by the means of linear programming (LP). With given method, desired observer parameters can be easily constructed. Lastly, two numerical examples...
In this work, the control problem for type-2 T-S fuzzy system with packet dropouts is investigated by modeling the system as a switched system with an unstable subsystem. The mode-dependent average dwell time approach in both slow and fast switching sense is utilized for the analysis and synthesis. A sufficient condition is given by ensuring the packet loss rate no bigger than the specific fast switching...
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...
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...
This paper is concerned with the problem of the annular finite-time filtering for a class of switched systems by using an event-triggered communication scheme. Compared with the existing results of finite-time stability for the switched systems, during the specific time interval, the annular finitetime stability not only requires that the state trajectory does not exceed an upper bound but also is...
The stabilization and H∞ control for a class of time-varying delay switched systems with actuator saturation under asynchronous switching is studied in this paper. A convex hull representation is used to describe the actuator saturation. By using piecewise Lyapunov-Krasovskii (L-K) functional and average dwell time approach, the sufficient conditions of stabilization and H∞ control are obtained for...
This paper studies the non-fragile H∞ control for switched linear systems with an event-triggering strategy. With the proposed strategy, the system state is only sampled and updated when the defined error exceeds a given threshold. More in detail, first, based on multi-Lyapunov function method and average dwell time technique, sufficient conditions for the H∞ control performance are given, and subsequently...
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...
This paper investigates uniform global exponential stability(UGES) and stabilization of fractional-order nonlinear positive impulsive switched systems(FONPISS) with mode-dependent average dwell time(MDADT). Firstly, the proof of the positivity of FONPISS is given. Then, by constructing copositive Lyapunov functions and using MDADT approach, a static output feedback controller is constructed, and sufficient...
This paper considers the problem of global output feedback stabilization by virtue of a reduced-order observer for a class of switched nonlinear systems with time-varying control gains under arbitrary switching. Firstly, a set of coordinate transformations is used to introduce a scaling gain. Then, state feedback controllers are designed for the individual subsystems of transformed switched system,...
This paper investigates the event-triggered and self-triggered state feedback control for networked control systems (NCSs) with short network-induced delays and packet loss. First, we use a switched system model to describe such a system, which is prior to describe the uncertainty and the time-varying characteristics of the network-induced delays. Based on the switched system model, the co-design...
This paper deals with model reduction by balanced truncation of fault tolerant switched systems. The conditions, which guarantee the stability of fault tolerant switched system and the error between the states of switched system and reduced order switched system is in a certain range, are proposed. It shows that fault tolerant switched system can be reduced by the same truncated of original switched...
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...
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