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In this paper, the research on the stabilization of time-varying linear (TVL) system is conducted with pseudo division-by-zero (PDBZ) phenomenon shown. We not only adopt zeroing dynamics (also called Zhang dynamics, ZD) method to design ZD stabilization controller, but also adopt zeroing-gradient (also called Zhang-gradient, ZG) method to design ZG stabilization controller. Through numerical experiments,...
This paper deals with the problem of reachable set bounding for interval time-varying delay system with disturbances. A generalized reciprocally convex combination lemma and a new Lyapunov-Krasovskii functional (LKF) are given to obtain the delay-dependent criterion. The reachable set of time-varying delay systems with bounded peak disturbances is contained in the ellipsoid base this result. Meanwhile,...
In this paper, we propose a predictor-based sliding mode control algorithm for LTI systems with input-delay and disturbance. It is shown that our proposed algorithm can completely reject the constant disturbance from the state channel. It is also shown that with our proposed algorithm, an enhanced disturbance rejection can be achieved for a large class of other time-varying disturbances. Simulations...
This paper is concerned with the Tobit Kalman filtering for a class of discrete-time linear systems. A set of Bernoulli random variables is introduced to describe the randomly occurring censored measurements, which are dependent on the measurement outputs. Such dependence among random variables leads to the largest challenge encountered in this paper. The conditional expectation as a basic tool is...
This paper addresses the stability results of a Markov jump linear system with parameter uncertainties and time-varying delay. A geometric sequence based method is used for delaypartitioning. Then, a modified geometric sequence division (GSD) dependent augmented Lyapunov-Krasovskii functional (LKF) is constructed with respect to the state variables forming in geometric progression. By employing the...
This paper is devoted to solving the state estimation problem for systems with unknown measurement input and missing measurement. The missing measurement phenomenon is described by a series of mutually independent random variables obeying a certain Bernoulli distribution. Firstly, our aim is to design an linear filter by applying the minimum variance unbiased estimation technique. Then, we also derive...
Hybrid feedback control systems are constructed after replacing the continuous controllers with neural-network controllers (in term of neural algorithms). Here, the continuous controllers are originally designed by using the control theory in the linear time-invariant (LTI) continuous-time setting, while the neural algorithms approximate the input/output behavior of the continuous controllers through...
Compared with Zhang dynamics (ZD) method, gradient dynamics (GD) method, which is intrinsically feasible and efficient to solve time-invariant problems, could have a simpler hardware implementation. In this paper, different from conventional type-Z0G1 controller in Zhang-gradient (ZG) framework, which uses gradient descent of input vector, a type-Z0G1 controller using gradient descent of state vector...
This paper revisits the problem of global stabilization of linear systems with bounded controls by using nested saturation functions. The energy function analysis based approach is firstly utilized to stabilize a planar linear system by using bounded linear feedback. Then, by using the Teel's canonical forms which were carefully studied in this paper, the results for planar systems were utilized to...
The problem of full-state observer and reduced-order state observer design for a class of linear time-varying system is researched in this paper. Implementing the linear time-varying system transformed, the two algorithms are proposed. Compared with other observer design approaches of linear time-varying system, the pivotal merit of these algorithms is no sophisticated calculation. Moreover, the separation...
In this paper, a linear system with external disturbances and internal uncertainties is studied. The observer-based method is used to suppress the interference. On this basis, the linear matrix inequality is used to further study the fault-tolerant control with uncertain systems. The proposed optimal perturbation suppression controller and fault-tolerant controller design method make the closed-loop...
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 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...
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...
The inevitable nonlinearity of beam flexure cannot be ignored, which poses challenges for large range tracking of compliant nanomanipulating systems with nanometric motion quality. In this paper, the nonlinear stiffness of a self-developed large range XY compliant nanomanipulator is analytical modeled and experimentally verified. Then a feedback linearization technique is adopted to compensate the...
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 investigates the H∞ control problem for linear system over networks with random communication data dropout and actuator saturation. The random data dropout process is modeled by a Bernoulli random binary distribution and the input saturation is confined in a convex hull by introducing a group of auxiliary matrices. By constructing a quadratic Lyapunov function, effective conditions for...
This paper gives a new-type AFR (Air Fuel Ratio) control system, whose structure is simpler and more efficient. Moreover, compared with traditional strong nonlinear system, this new-type AFR control system is smoother. Based on the new-type AFR system, biogas pressure and exhaust gas oxygen content double closed loop control system was chosen. The system mentioned above is successfully applied to...
This technical note is aimed at studying the joint impacts of the system dynamic structure and the communication topology on the synchronization of multi-linear positive systems. Through rigorous analysis, necessary and sufficient conditions are given to guarantee the coupled systems achieving positive synchronization under the distributed control protocol, and the gain matrix designed is related...
In this paper, the finite-time boundedness (FTB) and the finite-time stability (FTS) for fractional order linear time invariant (LTI) systems are studied. By using the generalized Gronwall inequality, the sufficient conditions expressed in terms of matrix inequality to guarantee the FTB and FTS are derived. The proposed conditions are less conservative than the the ones in recent literature. Based...
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