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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...
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...
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...
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;...
This paper investigates the problem of stabilizing switched linear systems with quantized output measurements. A technique to design a time-varying positive definite matrix is exploited to derive a novel Lyapunov function. A simplified dynamic quantizer is proposed for switched linear systems based on the novel Lyapunov function with respect to state of the art. The adjustable coefficient μ influencing...
Following the development of digital technology, controllers in many control applications are implemented on digital platforms. Although the advantages of event-triggered controllers are proposed and practical applications show their potential, relatively few theoretical results appear to study event-triggered control for switched linear systems. It is the objective of this paper to propose an event-triggered...
In this paper, the problem of finite-time stability is studied for a class of switched linear systems, where some subsystems are not finite-time stable. A novel average dwell time approach for finite-time stability of switched linear systems in which not all subsystems are finite-time stable is first proposed. Moreover, by constructing a new multiple Lyapunov functional, sufficient condition is provided...
We consider quadratic stabilization and L2 gain analysis for switched systems which are composed of a finite set of time-invariant affine subsystems. Both subsystem matrices and vectors are switched, and no single subsystem has desired quadratic stability or specific L2 gain property. We show that if a convex combination of subsystem matrices is Hurwitz and another convex combination of affine vectors...
We present a new trajectory based approach for state feedback stabilization of switched linear continuous-time systems with a time-varying input delay. In contrast with finding classical common Lyapunov function or multiple Lyapunov functions for establishing the stability of the closed-loop switched system, the new trajectory based approach relies on verifying certain inequalities along the solution...
This paper considers the control of constrained linear systems with dynamics and constraints that change as a function of time according to an unknown exogenous switching signal that satisfies dwell-time restrictions. We characterize the set of initial conditions for which it is possible to guarantee constraint satisfaction for any admissible switching signal. We define the concept of control (positive)...
This paper addresses the problem of reachable set estimation for discrete-time switched systems under arbitrary switching. By introducing a novel conception called M-step sequence which is capable of characterizing all possible subsystem activation orders during M discrete-time steps, a Lyapunov function based approach is proposed to derive a set of bounding ellipsoids to estimate the reachable set...
Novel characterizations for uniform exponential stability, under arbitrary switching, in discrete-time switched linear systems, whose modes are described by rank-one matrices, are reported and proved in the present paper. It is shown that the uniform exponential stability, of a switched linear system in this class, can be determined by means of the spectral radii of a given finite set of matrices...
This paper is devoted to the study of observer-based ℋ∞ controller design method via LMIs for a class of switched discrete-time linear systems with l2-bounded disturbances. The main contribution of this work consists in a new and judicious use of the slack variables coming from Finsler's lemma. We clarify analytically how the proposed slack variables allows to eliminate some bilinear matrix coupling...
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