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This paper is concerned with the Hinfin control problem for linear continuous-time systems in mixed frequencies ranges. A state feedback controller is designed such that the resulting closed-loop system is asymptotically stable and satisfies entire frequency and finite frequency Hinfin performance respectively. Then a sufficient condition for the existence of the controller is derived in terms of...
The problem of designing an adaptive robust Hinfin dynamic output feedback controller for uncertain linear systems is considered. The uncertainties are assumed to be time-varying, unknown, but bounded, which appear affinely in the matrices of system model. Based on the online estimations of uncertain parameters, a robust dynamic output feedback controller with variable gains is constructed to compensate...
This paper presents a linear matrix inequality (LMI) approach to solve the robust fault-tolerant control (FTC) problem with actuator failures. According to an equivalent transformation, fault effect factors can be put in linear fractional transformation (LFT) form. Then, based on the information from the fault detection and diagnosis (FDI) mechanism, the fault-tolerant control problem can be solved...
In this paper, an adaptive fuzzy approach is proposed to deal with output regulation of unknown nonlinear systems with actuator failures. The actuator failures under consideration can be lock-in-place or/and loss of effectiveness. Based on fuzzy logic systems (FLS) equipped with adaptive algorithms to approximate the nonlinear system functions and the occurred failures together, a fault tolerant control...
The problem of robust reliable controller design against actuator faults for systems with polytopic type uncertainty is addressed. The strategy that using sampled- data control with high-order hold is adopted to tackle the situations that no sampled-data controller with zero-order hold in existence. This problem is formulated in terms of solutions to a set of linear matrix inequalities. The efficiency...
This paper studies the problem of reliable Hinfin state feedback controller design for linear continuous-time systems. Actuator partial failures and actuator lock-in-place failures are simultaneously considered, and the signals in the case of certain actuators being locked in place are treated as zero-frequency disturbances, which gives an exact description for the lock-in- place failures. Based on...
This paper studies the fault tolerant control (FTC) problem for a class of nonlinear discrete-time systems with guaranteed Hinfin performance objective in the presence of actuator faults. The mode of faults under consideration is typical aberration of actuator effectiveness. The novelty of this paper is that the effect of the nonlinear terms is described as an index in order to transform the FTC design...
This paper investigates performance analysis problem under a given feedback law for discrete-time linear systems subject to actuator saturation. Two performance measures, the estimation of domain of attraction and L2 performance, are considered by combining the saturation-dependent Lyapunov function method with Finsler's Lemma. New and less conservative conditions in the enlarged space containing...
This paper addresses stabilization problem with decay rate analysis for discrete-time linear systems subject to actuator saturation. The saturation-dependent Lyapunov function is exploited to propose new stability conditions by introducing additional slack variables. Especially, elimination Lemma is used to show the stable property of one slack variable. If the stable slack variable is specified a...
This paper is concerned with the problem of Hinfin controller design for networked control systems (NCSs) with time delay and packet dropout. The idle communication channels are made full use to compensate the negative influences of time delay and packet dropout. By defining new Lyapunov function, linear matrix inequality (LMI)-based Hinfin controller design is presented, and the merit of the proposed...
This paper studies the problems of robust Hinfin performance analysis and controller design for continuous-time networked control systems (NCSs). A new type of Lyapunov functionals is exploited to derive sufficient conditions for guaranteeing the robust exponential stability and Hinfin performance of the considered system, and robust Hinfin controller design is presented. It is shown that the newly...
In this paper, an adaptive fuzzy approach is proposed to deal with robust output tracking of unknown nonlinear systems with actuator failures. The actuator failures under consideration can be both of lock-in-place and loss of effectiveness. By incorporating fuzzy logic approximation, adaptive algorithm and attenuation technique to our design, a fault tolerant control law is developed to guarantee...
This paper studies the problem of stability analysis for discrete-time delay systems. By using new Lyapunov functional and the discrete Jensen inequality, new stability criteria are presented in terms of linear matrix inequalities (LMIs) and proved to be less conservative than the existing ones. Compared with the existing results, the computational complexity of the obtained stability criteria is...
The paper studies the problem of simultaneous design of fault tolerant controller and fault detector for a class of linear continuous-time systems with bounded disturbances and nonzero external constant inputs. A dynamic output feedback controller and a fault detector are designed simultaneously, where the output feedback controller stabilizes the closed-loop system for both normal and faulty cases...
This paper studies the problem of Hinfin controller design for networked control systems (NCSs) with time delay and packet dropout. A linear estimation-based method is proposed to compensate time delay and packet dropout, a delay switching-based method is also proposed to model the variation of time delay, and Hinfin controller design is presented by using the delay switching-based method and the...
The paper studies the problem of simultaneous design of reliable filter and fault detector for a class of linear continuous-time systems with bounded disturbances and nonzero constant reference inputs. An Hinfin filter and two detection weighting matrices are designed simultaneously. The filter is designed for both fault free and faulty cases, and by manipulating the steady-state values of the filter...
This paper presents new non-fragile Hinfin filter design methods for linear discrete-time systems. The filter to be designed is assumed to be with additive gain variations, which reflect the FWL effects in filter digital implementations. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile Hinfin filter design...
This paper studies the problem of state-feedback control design for a class of continuous-time piecewise linear systems. A new framework for the synthesis of piecewise linear control systems is given based on piecewise quadratic Lyapunov function and Reciprocal Projection Lemma. Under the new framework, Lyapunov variables and system dynamic matrices are separated by adding extra variables. And state-feedback...
This paper studies the problems of stability analysis and state feedback controller design for continuous-time networked control systems (NCSs). Model of NCSs with multiple-packet transmission and packet dropout in both the sensor-to-controller channel and controller-to-actuator channel is derived, then the stability condition for NCSs with multiple-packet transmission is presented, and a new method...
This paper studies the stabilization problem via output feedback for a class of switched discrete-time linear systems subject to saturation nonlinearity. A switched output feedback controller in the quasi-LPV form is designed which guarantees the closed-loop system is locally asymptotically stable. New sufficient LMI conditions related to the number of system modes are proposed for control synthesis,...
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