In this paper, a methodology for stabilization of fractional discrete-time system based on discrete sliding mode approach is attempted for the first time. The proposed controller is robust in the presence of matched u...
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ISBN:
(纸本)9781467301596
In this paper, a methodology for stabilization of fractional discrete-time system based on discrete sliding mode approach is attempted for the first time. The proposed controller is robust in the presence of matched uncertainties. Stability during sliding is analyzed in terms of gamma function based radius using the property introduced by Hilfer [8]. Numerical example along with simulation is presented to illustrate the efficacy of the proposed method.
In this paper, a novel discrete-time integral sliding-mode control (DISMC) scheme for connection-oriented communication network is proposed. Network is modeled as an n th order discrete system whose available bandwid...
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In this paper, a novel discrete-time integral sliding-mode control (DISMC) scheme for connection-oriented communication network is proposed. Network is modeled as an n th order discrete system whose available bandwidth variations at the bottlenecked link act as an exogenous unmatched disturbance. The proposed scheme is characterized by discrete-time integral sliding manifold which inherits the desired properties such as elimination of reaching phase, full order sliding manifold with pole assignment etc. In particular, comparing with the existing discrete flow control scheme, the new scheme ensures more precise tracking with O(T 2 ) steady-state error for state regulation with widely adopted delay-based disturbance estimation. Surface parameters are so chosen to minimise the effect of unmatched uncertainty. Simulation results shows that discrete-time ISMC achieves more effective control performance under the adverse influence of unmatched disturbances, meanwhile eliminating the reaching phase.
The control moment gyro (CMG) actuators used in attitude control of spacecraft suffer from the singularity problem where they fail to generate the output torque in some particular direction called the singular directi...
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ISBN:
(纸本)9781467313971
The control moment gyro (CMG) actuators used in attitude control of spacecraft suffer from the singularity problem where they fail to generate the output torque in some particular direction called the singular direction. In connection to the avoidance of the singularity, the notion of the potential function is discussed and shown to behave as an avoidance potential. Using the theory of the superquadric isopotential contours around the singular point, a suitable algorithm is developed to avoid a small region enclosing the singular point. The isopotential contour, where the avoidance potential exceeds some pre-fixed value can be avoided. The stability of the CMG system using the potential function is discussed. Simulation is run to show the gimbal angle and output torque profiles. Comparative studies using PID and PD controllers are done.
In this paper,development of the Fractional-order(FO)linear model of the neutron transport in a nuclear reactor is *** general,this linear model is commonly known in the reactor theory as the Zero Power Transfer Funct...
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In this paper,development of the Fractional-order(FO)linear model of the neutron transport in a nuclear reactor is *** general,this linear model is commonly known in the reactor theory as the Zero Power Transfer Function(ZPTF).It helps in analyzing the reactor dynamics from the 'controlsystems' point of *** concepts of the
This paper presents the development of Fractional-order(FO) Point Reactor Kinetics(FPRK) model for anuclear reactor with slab *** PRK model is the first step towards the development of the 'control' model for ...
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This paper presents the development of Fractional-order(FO) Point Reactor Kinetics(FPRK) model for anuclear reactor with slab *** PRK model is the first step towards the development of the 'control' model for a *** is a set of nonlinear,coupled dynamical ordinary differential equations characterizing the time evolution of the neutron flux.
This paper proposes a new algorithm for achieving discrete-time sliding mode for linear multivariable nominal systems using output feedback. The concept of periodic output feedback is used here. It has been shown that...
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ISBN:
(纸本)9781467303408;9781467303422
This paper proposes a new algorithm for achieving discrete-time sliding mode for linear multivariable nominal systems using output feedback. The concept of periodic output feedback is used here. It has been shown that, when the output of the system is sampled slower than the input, there exist a discrete-time sliding mode. The method is very general and is applicable to any controllable and observable linear time invariant square system. The magnetic tape position control application is presented to illustrate the proposed method.
The main impediment in the applicability of explicit model predictive control (e-MPC) is that the number of regions in the parametric space increases dramatically with an increase in the dimension of the parameter and...
The main impediment in the applicability of explicit model predictive control (e-MPC) is that the number of regions in the parametric space increases dramatically with an increase in the dimension of the parameter and decision spaces as well as with an increase in the number of constraints. This work explores the scalability issues by simulation in which e-MPC is used for control of quadruple tank system. Explicit-MPC problem formulation from a standard MPC (for finite and infinite prediction horizon) using multi parametric quadratic programming (mp-QP) is presented. The results confirm that while the number of critical regions increases exponentially with the control horizon, the online calculations are computationally inexpensive.
This paper investigates a problem of control of rotary slosh using integral sliding modes (ISM). Slosh coupled with vehicle dynamics represents a class of systems having coupled nonlinear and underactuated dynamics. R...
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This paper investigates a problem of control of rotary slosh using integral sliding modes (ISM). Slosh coupled with vehicle dynamics represents a class of systems having coupled nonlinear and underactuated dynamics. Rotary slosh is modeled using spherical pendulum. The coordinates are chosen to avoid the singularity at equilibrium point. A stabilizing control is designed using Lyapunov approach. A stabilizing controller (SC) is made robust by adding ISM component. The integral sliding mode control (ISMC) yields robust performance over the entire state space. The effectiveness of the method is validated in simulations.
This paper presents a new algorithm for discrete-time sliding mode control using output feedback. It has been shown that, when the output of the system is sampled slower than the input, a discrete-time sliding mode ca...
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A squirrel cage induction generator (SCIG) offers many advantages for wind energy conversion systems but suffers from poor voltage regulation under varying operating conditions. The value of excitation capacitance ...
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A squirrel cage induction generator (SCIG) offers many advantages for wind energy conversion systems but suffers from poor voltage regulation under varying operating conditions. The value of excitation capacitance (C exct ) is very crucial for the selfexcitation and voltage build-up as well as voltage regulation in SCIG. Precise calculation of the value of C exct is, therefore, of considerable practical importance. Most of the existing calculation methods make use of the steady-state model of the SCIG in conjunction with some numerical iterative method to determine the minimum value of C exct . But this results in over estimation, leading to poor transient dynamics. This paper presents a novel method, which can precisely calculate the value of C exct by taking into account the behavior of the magnetizing inductance during saturation. Interval analysis has been used to solve the equations. In the proposed method, a range of magnetizing inductance values in the saturation region are included in the calculation of C exct , required for the self-excitation of a 3-φ induction generator. Mathematical analysis to derive the basic equation and application of interval method is presented. The method also yields the magnetizing inductance value in the saturation region which corresponds to an optimum C exct(min) value. The proposed method is experimentally tested for a 1.1 kW induction generator and has shown improved results.
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