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The paper considers the robust H2 state feedback control design for a class of linear uncertain systems with input quantization. The uncertainties are assumed to be time-varying, unknown, but bounded. The state feedback controller includes two parts. The first part, u1(t), whose gains updating automatically between the lower bounds and upper bounds of uncertain parameters, is obtained according to...
In this article, we provide a numerical method for the mixed H2/H∞ synthesis minimizing the H2 norm of one transfer function while imposing restriction on H∞ norm of the other transfer function. The mixed H2/H∞ robust controller with degree constraint can be designed by solving the nonlinear equations, where a group-preserving scheme is introduced. Three examples are used to investigate the numerical...
Improved state coordinates transformations are used to design static and reduced-order dynamical stabilizers for linear time invariant (LTI) system. Free variable matrices are proposed in the transformations to stabilize pivotal submatrices of new state space representations. The stabilizers can be determined if corresponding linear matrix inequalities (LMIs) are feasible.
This paper focuses on the problem of the robust H∞ control with circular pole constraints in uncertain singular systems. Firstly, the concept of quadratic d stablizability with an H∞ norm-bound is introduced for the uncertain continuous-time singular system. Secondly, the robust H∞ control problem is solved in the uncertain continuous-time singular systems, on the basis of circular pole constraints...
In this paper, we are concerned with the quantized H∞ control problem for a class of stochastic systems with random communication delays. The system under consideration involves signals quantization, Itô stochastic disturbance as well as random communication delays. The measured output and the control input quantization are considered simultaneously. We aim at designing an observer-based controller...
The stabilization control for a class of linear parameter-varying (LPV) systems with time delay and actuator saturation is investigated in this paper. Based on Lyapunov stability theory and linear matrix inequality (LMI) technique, a delay-dependent stability sufficient condition is obtained by using the idea of delay partition and convex optimization approach. Furthermore, the estimation of the domain...
In this paper, we study the Belgian Chocolate Stabilization Problem. By using a complex analysis method, following Hempel and Smith's technique, we compute the parameter bound of the stabilization problem ultimately. A more sharper bound for this parameter is obtained.
In this paper, based on the results of complex analysis, we address and analyze some conclusions proposed by V.Blondel et al., which concern the simultaneous stabilization of three linear systems and a special bistabilization problem, named as “Chocolate Problem”. As for the simultaneous stabilization problem of three linear systems, it is shown that there is a slight flaw in the sufficiency part...
In this paper, we discuss how to synthesize a stabilizably robust controller for a ball and plate system (BPS). In order to reduce the fragility in its robust controller synthesis, a loop-shaping method in terms of a normalized right coprime factor (NRCF) uncertainty description for the BPS is thus employed. In effect, the design of weighting functions for the BPS loop-shaping is a decisive factor...
Military and civil aviation are requiring higher performance for the aircrafts in recent years. The morphing techniques can effectively improve aircraft's performance to meet the customer's multi-mission requirement for the aircraft. To get the optimal aerodynamic performance under different flight conditions, the aircraft must change its aerodynamic configuration adaptive to specific condition. In...
With energy efficient power systems and the increasing capacity requirements, chain SVG more widely and gradually become a hot research. SVG device in order to achieve high-performance real-time control, Modulation technique is an important part of the chain of SVG, this paper discusses a single-stage multiplier CPS-SPWM technology superiority to DSP28335 as the main chip, single-stage multiplier...
Hot strip rolling flatness and gauge complex system has the features of strong coupling, uncertainty and nonlinearity. To improve the control accuracy, a strip flatness and gauge decoupling control method is put forward based on QDRNN-PID. The simulation results compared to the traditional PID control show that the decoupling control strategy has better control effect, adaptive tracking ability and...
Monitoring system of furnace ash fouling is the foundation of the soot-blowing operation on furnace area. For furnace exit gas temperature (FEGT) is the key parameter in monitoring system, a new CM-LSSVM-PLS method is proposed to predict FEGT. In the process of CM-LSSVM-PLS method, considering the characteristics of operational data, c-means (CM) cluster algorithm is used to partition the training...
Activated sludge wastewater treatment processes are difficult to be controlled because of their complex and nonlinear behaviour. However, the control of the ammonia concentration is very important to achieve the effluent standard. In this paper, the ammonia model is developed which could be used for model predictive control (MPC) of ammonia concentration to a certain value in a wastewater treatment...
This paper proposes a design method of the proportional integral derivative controller. The controller is used to a delay-time system. A polynomial approximation method is studied to the delay-time system. The controller is designed based on the approximation model and used to the delay-time system. Some numerical examples are illustrated to show the effective of the proposed method.
In this paper, the problem of sliding mode control of a discrete-time switched system with uncertain parameters and time-varying delay is investigated. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is proposed to guarantee the exponential stability of the switched systems with uncertain parameters and time delays. The conservation of...
This paper presents the usage of discrete-time sliding mode control (SMC) algorithm based on disturbance observer in multi-area interconnected power systems. Compared with other schemes, sliding mode control not only can reduce large overshoots, which occurs at the instant of the step change of parameters, but also its control law is easy to implement. The disturbance observer can estimate uncertainties...
Crawler robot has been used widely in many areas because of its excellent adaptation for all kinds of complex terrain. As one of automatic control methods for the trajectory trace of robot, sliding mode control has advantages over others because of its non-sensitivity and capability of quick response when the system parameters change, it will be used in this paper for the trace of trajectory. To begin...
This paper describes a multiple models controller for robotic manipulators based on combination of SM control and adaptive backstepping control approaches. The robot system working environment is changeful and the robot system operates in multiple environments which may change abruptly from one to another. Therefore, a good way to improve the performance of the controller is to use multiple models...
Soft variable structure control (VSC) for generalized systems is concerned in the paper. The structural features of soft VSC with differential equation, and some preliminaries for generalized systems are given. The generalized soft variable structure controller is designed, and the stability of generalized systems with soft VSC is proposed by an equivalent characterization. The concrete algorithm...
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