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This study concerns the problem of control for stochastic Markov jump systems with generally uncertain transition rates such that the system is finite-time dissipativity. First, sufficient conditions for finite-time boundedness is obtained by constructing Lyapunov function. Then, a state feedback controller is designed based on the results obtained. Finally, a numerical example is given to verify...
This paper proposes a frequency adaptive discrete Fourier transform (DFT) based repetitive control (RC) scheme for DC/AC converter. DFT-based RC is an improved RC scheme aiming to eliminate waveform distortion on selected harmonics without influencing the overall system stability. However, the traditional DFT-based RC is insufficient to accommodate frequency fluctuation as fractional delay period...
Viswanathan has shown that the practical mobile communication system can be modeled as the finite state Markov channel (FSMC) with delayed feedback, where the receiver perfectly knows the channel state information (CSI) which undergoes a Markov process, and the receiver sends the CSI and his own channel output back to the transmitter after some time delay. Viswanathan found that the delayed feedback...
This paper is a contribution to the problem of the control of PEM Fuel Cell. More precisely, a theoretical result is proposed to prove that the oxygen excess ratio value can controlled by using a continuous state feedback. The result is established without any linearization.
In this paper, a decentralized direct model reference adaptive control (MRAC) scheme is proposed in order to achieve the attitude control task for a quadrotor unmanned aerial vehicle (UAV). On the one hand, the nonlinear model for the quadrotor UAV is decomposed in the rotational and translational systems. Thus, a second order subsystem for each attitude angle is extracted from the rotational system...
In this paper, a new control methodology is proposed for a class of nonlinear control systems. The proposed methodology combines the advantages of both gain scheduling technique and fuzzy control technique to obtain an advanced tracking control structure. This methodology is applicable for tracking a special case of second order nonlinear systems that represented in a general form similar to many...
In this paper we give some remarks on the stability of input-affine nonlinear systems, for the integer and fractional cases with static state feedback and dynamical control, by means of a modification on the Gronwall-Bellman Generalization Lemma.
This paper begins with a useful presentation of known theoretical mechanics concepts for obtaining the equations of motion for systems of rigid bodies with and without non-holonomic constraints, using D'Alembert's principle. Then the equations of motion of a two-wheeled inverted pendulum on a flat surface with non-sliding wheels are obtained, by using the presented theory. Finally the nonlinear dynamical...
A simple but versatile approach to robust control design for linear systems with system and exogenous disturbances is proposed. The proposed approach is based on the technique of linear matrix inequalities and the concept of invariant ellipsoids. The approach is easily implemented computationally, its efficacy is demonstrated on the benchmark example of the F-16 aircraft model.
In this paper sliding mode controller is designed in comparison with the linear state space feedback controllers namely the pole placement controller and linear quadratic regulator to eliminate the chaotic limit cycle oscillations in Van der Pol system induced by an external sinusoidal excitation in order to avoid failure in physical structures. The controller design is based on the mathematical model...
This paper investigates the coupled disturbance reconstruction, state estimation and trajectory tracking problems for a class of nonlinear systems. The sliding mode observer and the state feedback approaches are utilized to solve these problems. Considering only a partial of the system states are measured but the disturbances couple with time-varying parameters that the observer is designed by transforming...
A mathematical model and a state feedback controller for uncertain networked control systems with disturbances and short random delays are investigated in this paper. The uncertainty of transmission delay is translated into the uncertainty of coefficient matrix in the model, and the uncertainty parameter is described by a Poisson distribution function. Then, by using the Lyapunov stability theory...
This paper uses the good structure characteristics of Hamilton system to study the finite-time stability problem of nonlinear descriptor Hamiltonian system with the constant structure matrices. Firstly, the system is transformed into Hamiltonian differential-algebra system by the equivalent transformation of the system. Then, the system is changed into a strict dissipative Hamiltonian form through...
The state feedback design with a relaxed non-monotonic Lyapunov function in the discrete-time domain is developed in this work. Linear matrix inequalities are derived from both dissipation-based constraint and dissipation inequality for the closed-loop system. The dissipation-based constraint facilitates the stabilization with ΔVk 0 and decreasing (not necessarily monotoincally), instead of ΔVk...
This paper investigates state feedback controller design for a class of feedforward nonlinear systems in the presence of measurement noise. Since the control coefficient is uncertain, the control design procedure is more challenging. The measurement noise, i.e., the sensor noise, has bounded magnitude, frequency and phase. A low-pass filter is contained in the proposed controller which is used to...
This paper studies the issues of quasi-passivity, feedback quasi-passification for a class of switched nonlinear system using multiple storage functions. A quasi-passivity concept for a switched nonlinear system is proposed. Firstly, a state-dependent switching law is designed to render a switched nonlinear system quasi-passive. Secondly, quasi-passification is achieved by the design of a state-dependent...
This paper considers the problem of global output feedback stabilization by virtue of a reduced-order observer for a class of switched nonlinear systems with time-varying control gains under arbitrary switching. Firstly, a set of coordinate transformations is used to introduce a scaling gain. Then, state feedback controllers are designed for the individual subsystems of transformed switched system,...
In this paper, a sampled-data based output tracking H∞ controller is designed for the permanent magnet synchronous motor (PMSM) servo system. Firstly, the stator voltage is used as the control input of the PMSM servo system, and the motor speed is used as the output of this servo system. The mathematical model of PMSM servo system is established. Then, a sampled-data state feedback controller is designed...
In this paper, the problem of input-to-state stability robust model predictive control(MPC) is studied for the discrete time uncertain singular system with input constrain and bounded disturbances. By constructing the ISS-Lyapunov function with the method of linear matrix inequality (LMIs), the “quasi-min-max” optimization problems are converted into finite time convex programming problems. Then the...
This paper presents a novel integral sliding mode control (ISMC) for singularly perturbed systems (SPSs) with matched disturbances. Firstly, a linear state feedback control law for the fast subsystem of SPS is designed, and the slow subsystem can be obtained. Secondly, an ISMC incorporating the disturbance estimate provided by a disturbance observer is designed. In order to attenuate matched disturbances,...
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