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This paper is concerned with stabilization of linear systems with arbitrarily large and bounded (time-varying) delay in the actuator. A new class of feedback laws based on pole-assignment low gain design is proposed to solve the problem. Both delay-dependent and delay-independent results are presented and a series of sufficient conditions for guaranteeing the stability of the closed-loop system is...
This paper considers a subclass of hybrid systems, which is the discrete-time linear switching systems whose changes in the dynamics are determined by exogenous, uncontrollable events, and resets are present. In the presence of uncertain parameter and non-symmetrical constrained control, based on the results of nominal linear switching systems, a necessary and sufficient condition to test the robustness...
The state observer and H∞ control via output feedback for time-delay neutral systems are studied in this paper. A sufficient condition is given for the existence of the H∞ state observer of the system first. And then a new criterion of the stability for the closed loop system via output feedback is presented by two linear matrix inequalities. Finally a numerical example is given to demonstrate the...
This paper studies the stability of linear time-invariant (LTI) single-input single-output (SISO) discrete-time networked feedback systems. Only quantization effect is considered and the quantizer is logarithmic. Second order stochastic input-output stability is studied. A stabilizing output feedback controller which is realized by Youla parameterization is adopted. We get a necessary condition to...
Periodic signal tracking is certainly easier than general signal tracking. This has been manifested for linear time-invariant systems by applying theories of repetitive control. However, because of the lack of corresponding theories, the difficulties in designing repetitive controllers for both periodic signal tracking and general signal tracking in nonlinear systems are similar or the same. In view...
This paper considers the connective stability of the interconnected swarm systems which are under the M-matrix conditions. A connective stability criterion for a class of pseudo-linear interconnected swarm systems is presented by finding the sum of weighted Lyapunov function for the interconnected subsystems. Simultaneously an example has been given to illustrate that the connective stability criterion...
This paper is concerned with the quantized stabilization of linear discrete systems with packet dropout. Based on the zoom strategy and Lyapunov theory, for a given packet dropout rate, a sufficient condition is given for closed-loop system to be mean square stable. A numerical simulation is presented to show the effectiveness of the main result.
Aiming at a class of linear time-invariant fractional-order system (LTI-FOS) with commensurate order- which is similar to traditional second order system, the range of damping ratio is derived for the closed-loop stability of this special kind of FOS based on sufficient and necessary conditions. The stable parameters region is wider than that of traditional second order system. The existing fractional...
The concentration of dissolved of wastewater treatment process directly affect organic removal efficiency and activated sludge. Dissolved oxygen aeration device is through the control of aeration device. In practical application, such as controller was due to the convert accuracy of D/A and A/D ,as well as the truncation errors due to temperature change aging or failure caused by components of electronic...
In this paper, the delay-dependent stability problem is investigated for a class of singular time-delay (STD) systems with norm bounded parametric uncertainties. Without resorting to any bounding techniques for some cross terms and model transformation, the new less conservative delay-dependent stability criteria assuring the regularity, impulse-free and robust stability of the STD systems are derived...
In this paper, the problem of stabilization of networked control Markovian jump linear systems with unobservable jump parameter is considered. The model of the networked control Markovian jump linear systems with unobservable jump parameter is first proposed. Then the sample data adaptive control is got, which is formed basing on both the estimation of the jump parameter and the state information...
The structural properties and stabilization of NCS with bandwidth constraint is studied. The communication sequences which make the input and output available in a time-sharing mode are proposed to reduce the effect of bandwidth constraint. Then the networked control system is modeled as a linear time-variant system. The reachability and observability condition are given. The method used to select...
In this paper, the problem of fault-tolerant control is considered for a class of uncertain continuous Large-scale systems with time-delays by using Lyapunov method. The interconnected matrices can be uncertain and are assumed to be bounded. The time-delays under consideration can be arbitrary unknown and varying but bounded. The analysis result of robust control is obtained for the systems based...
Wastewater treatment process (WWTP) is a highly nonlinear dynamic process. It is difficult for modeling key parameters of WWTP. In order to measure the parameters, a new recurrent neural network (RNN) with novel topology is proposed in this paper. The proposed RNN is a class of locally recurrent globally feed-forward neural network which consists of static nonlinear and dynamic linear subsystems,...
Finite-time stability of a class of switched systems is discussed. First, the definition of set finite-time stability of switched systems is proposed, and sufficient conditions under witch switched systems is finite-time stable are also given. Finite-time stability results are proved by using common Lyapunov-like function and multiple Lyapunov-like functions respectively. Moreover, based on the proposed...
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