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A novel sub-module circuit is proposed in this paper based on the controllability theory. At first, traditional full bridge sub-modules (FBSM) of the MMC is modeled as a switched linear system, then controllability of the switched linear system model of the sub-module circuit is studied. It is found that the sub-module circuit is state controllable with only four operation modes adopted in the model...
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...
In the present paper a bank of local linear observers is designed for an alcoholic fermentation process. The design is based on the respective linear approximants of the mathematical description of the nonlinear process at particular operating points. The target and tolerance operating areas of the process are determined. A residual of the performance of the observers is introduced. A switching mechanism...
This paper introduces a control method for finite time stabilization of continuous-time controllable linear time invariant multiple-input multiple-output systems. The proposed approach uses higher order sliding mode control to reduce the system order to zero and thus providing the system states to reach the origin in finite time. Such control is called finite time order zeroing control, because it...
A fixed-time sliding mode control scheme is designed in this paper for the high-order linear systems in the pure-feedback form with system uncertainties. A recursive procedure is utilized where a set of switching manifolds have been resorted to realize the fixed-time stability. The initial conditions of the system variables are confined in a particular region so as to avoid the singularity problem...
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...
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...
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 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...
Event-triggered control is a method that the control input is updated only when a certain triggering condition is satisfied. In networked control systems, quantization errors via A/D conversion should be considered. In this paper, a new method for quantized event-triggered control with switching triggering conditions is proposed. For a discrete-time linear system, we consider the problem of finding...
The paper deals with the problem of reducing the order of an original high-order asymptotically stable linear switching system by independently approximating the (stable) LTI systems corresponding to every fixed value of the switching signal. Precisely, each reduced-order model is obtained by minimising the L2 norm of a weighted equation error by means of an efficient algorithm that ensures model...
This paper considers bipartite consensus of linear multi-agent systems over signed directed graphs, where both collaboration and competition coexist. The agent dynamics are distinct and can all have different dimensions. The communication graph can be time-varying and need not to be connected at each time. A distributed control law is proposed which enables the group to split into two disjoint subgroups,...
A class of discrete-time networked switched control systems are investigated with event-triggered control. The closed-loop system is formulated as switched linear systems with time-varying delays, based on which the exponential stability conditions are obtained under the time delay system framework. The co-design conditions of the control gain and the triggering parameters are proposed. Finally, a...
In this paper, the problems of stability and stabilization for switched linear systems with finite-time unstable subsystems are revisited. Differ from the previous work, switching signal are designed with mode-dependent average dwell time (MDADT) property. Sufficient conditions are given to guarantee the switched linear systems with subsystems that are finite-time unstable being finite-time stability...
The problem of the state tracking over a finite-time interval is concerned in this paper. Based on the average dwell-time method, both matched and unmatched cases are considered in the system. To make the state tracking error is finite-time bounded and the considered system achieves a weighted H∞ performance for the exogenous disturbance, the switching law is designed by the states error. Sufficient...
This paper studies the guaranteed cost state-feedback control for uncertain switched linear systems with an event-triggering strategy. With the proposed event-triggering strategy, the system state can be sampled and updated only when a defined error exceeds a given threshold, which is very different from the traditional periodic sampling. More specifically, first, sufficient conditions for the stability...
With the regarding to the demand that the parameters vary rapidly over a wide range for the highly maneuverable technology (HiMAT) vehicle, a switched linear model with the locally overlapped characteristic is established for a full-envelope flight. Based on the mode-dependent average dwell time (MDADT) method, a stability criterion for the above switched linear model is proposed, and an application...
In this note, we investigate the problem of stabilization for second order switched systems by means of output feedback control and switching design. Under mild conditions, we design the output feedback and switching signal to exponentially stabilize the switched systems. Meanwhile, we optimize the switching signal to achieve nonovershooting of the output.
In this note, we investigate the problem of bounded-input bounded-output (BIBO) stability for continuous-time switched linear systems under arbitrary switching. We show that BIBO stability is equivalent to exponential stability under mild assumptions, which is an extension of the well-known relationship between external and internal stability for linear systems.
This paper investigates robust adaptive control of uncertain switched linear systems considering disturbances. Two modifications of the adaptive law of switched linear systems [1] based on parameter projection and a leakage approach are developed to guarantee the stability of the closed-loop switched linear system: a projection law that requires knowledge of the bounds of the parameter estimates;...
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