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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...
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...
This paper focuses on studying the group consensus tracking issue of discrete time second-order multi-agent systems (MASs) under directed fixed and Markovian switching topologies, respectively. For MASs with m leaders, we first introduce a method to divide the whole MASs into m subgroups. Based on the subgroup-divided method, the condensation directed graph G of the communication topology of the whole...
The model reduction problem is studied in this work for the switched genetic regulatory networks (GRNs) with time-varying delays. The attention is focused on constructing a reduced-order model to approximate the considered high-order GRNs under that the switching signal is subject to some certain constraints, such that the error system between the original system and the reduced-order one is exponentially...
This paper is devoted to robust H∞ sliding mode control (SMC) for a class of uncertain switched singular systems with time-delay (SST). Based on the average dwell time approach, sufficient conditions for the existence of designed linear sliding surface and the admissibility of the underlying sliding mode dynamics (SMDs) with given disturbance attenuation level are presented in terms of LMI, by which...
Small input delay is always ignored for designing a simple controller in many practical applications. However, this paper will tell us that small input delay have a significant impact on high-frequency vibration system, the amplitude of the high-frequency vibration system will be greatly enlarged even if the input delay is small enough. For explaining such viewpoint, a vibration system with high natural...
When the Buck converter is under the chaotic state, its working performance deteriorates. This paper proposes a novel nonlinear controller in the form of the cubic difference to eliminate the chaotic behavior in the Buck converter. This nonlinear controller is designed on basis of an idea that the cubic difference between the output voltage and the input voltage is multiplied by a feedback coefficient...
The problem on the existence of a common quadratic Lyapunov function for switched unified chaotic systems is investigated in this paper. Switched unified chaotic systems with a varying parameter are constructed. A sufficient condition on the existence of a common quadratic Lyapunov function is derived in view of the solution to a group of matrix inequalities. By designing linear state feedback controllers,...
In modern space missions, such as space rendezvous and docking, actuator switching, booster stage separation for carrier rockets, the instantaneous mass or structure variations are exist. A Hamilton system based spacecraft attitude switching control scheme is proposed. The passivity control law is designed based on the Hamilton system model of spacecraft. A dynamic inversion method is used to compensate...
Constant-Power Load (CPL) introduces destabilizing effect to dc-dc converters, which may lead to voltage oscillation or collapse. To mitigate the destabilizing problem brought by CPL, a nonlinear boundary controller is proposed in this paper, which has a nonlinear switching line. The converters' dynamics on the state space plane is analyzed through phase portrait. The proposed controller is verified...
This paper investigates the finite-time output feedback control problem for DC-DC buck converter systems. By using the techniques of finite-time controller and finite-time convergent observer, a new fast voltage regulation control algorithm is designed which can guarantee that the output voltage converges to the reference voltage in the finite time. An inductive current convergent observers has been...
This paper considers the practical output tracking problem for a class of switched uncertain nonlinear systems with unstable subsystems. A new approach combining the single Lyapunov function (SLF) method and a dynamic gain based strategy is first proposed. Then the dynamic controllers of individual subsystems and a proper switching law are constructed to guarantee that all the signals of the resulting...
The identification and control of Sandwich systems are surveyed for the systems which involve backlash nonlinearity. The focus is made on the way of constructing the identification model and the convergence rate of the identification algorithm. Based on a parameterization of backlash, the Sandwich system with backlash is constructed as a regression model in which the backlash parameter and linear...
This paper deals with the tracking control problem of uncertain transmission systems in the presence of elastic deadzone. Due to the derivative term in the elastic deadzone model, it is not straightforward to apply the backstepping control for the elastic system which is not in strict feedback form. To overcome this limitation, the system is first transformed into two cascaded subsystems and an adaptive...
In this paper, we propose an adaptive stabilizer to solve the stability problem of single inverted pendulum system. The stabilizer, which consists of a nested saturation feedback controller and a logic-based online-tuning mechanism, is designed for a class of nonlinear feed-forward systems. The function of the online-tuning mechanism is to adjust the level of saturation in the controller according...
This paper presents nonlinear robust trajectory tracking strategies for the hypersonic vehicle whose ailerons are stuck at an unknown angular position. Firstly, a time-varying sliding mode control strategy for general second-order systems is introduced, and the chattering of sliding mode controller is alleviated. Secondly, the dynamics of hypersonic vehicle are transformed into two second-order systems...
This paper focuses on a switching control of the temperature protection problem for aero-engines. Firstly, an equilibrium manifold expansion (EME) model is established to describe the aero-engine for high accuracy. Then, a speed regulation controller is designed to obtain the asymptotic stability. As the temperature measurements usually have errors for aero-engines, a safety protection control strategy...
This paper presents a novel guidance algorithm for UAVs to follow a 2-D ground track by controlling the lateral cross track deviations. The guidance framework based on sliding mode theory is presented to solve the two dimensional path-following problem. To control the lateral track error of the vehicle during flight, the guidance algorithm generates reference bank angle commands for the vehicle control...
The synchronization of multi-weighted complex dynamical networks with fixed and switching topologies is respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. In addition, the similar methods can be applied to get some...
In this paper, we propose a bounded-confidence opinion model and focus on the study of the opinion consensus probability based on long-range opinion interactions. In this model, each agent updates its opinion using some agents' opinion values according to its confidence bound. We provide a lower bound of the opinion consensus probability when the confidence bound is sufficiently small. Also, we give...
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