Guangdeng Zong

Disturbance attenuation and rejection for stochastic Markovian jump system with partially known transition probabilities

In this paper, the problem of disturbance attenuation and rejection is investigated for stochastic Markovian jump system with multiple disturbances, which include white noises and disturbances with partially known information. A disturbance observer is designed to estimate the disturbances with partially known information. Based on the estimation value, a disturbance observer based attenuation and rejection controller is constructed such that the closed-loop system is asymptotically bounded in mean square or asymptotically stable in probability under different conditions. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.

Observer-based finite-time exponential l2 − l∞ control for discrete-time switched delay systems with uncertainties

The problem of observer-based finite-time exponential l2 − l∞ control is studied in this paper for a class of discrete-time switched systems with time delay and uncertainties. The observer-based controller is designed to guarantee that the developed closed-loop system is robust finite-time exponential l2 − l∞ stabilizable for all admissible uncertainties. By resorting to the average dwell time approach and Lyapunov–Krasovskii functional technology, some new delay-dependent criteria guaranteeing finite-time boundedness and stabilizability with exponential l2 − l∞ performance are developed. The observer-based finite-time exponential l2 − l∞ controller is also designed by virtue of a cone complement linearization method. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.

Finite-time control of interconnected impulsive switched systems with time-varying delay

In this paper, the problem of finite-time control is addressed for a class of interconnected impulsive switched systems with time-varying delay and dynamical disturbance. The concepts of finite-time stability and finite-time boundedness are extended to interconnected impulsive switched systems, respectively. By resorting to the average dwell time approach and constructing an appropriate Lyapunov-Krasovskii functional, some sufficient criteria are provided to cope with the problems of finite-time boundedness and finite-time stability. Then, based on the decentralized switched control scheme, a state-feedback controller is established to ensure the finite-time stability and the finite-time boundedness. Finally, an example and simulation result are demonstrated to illustrate the correctness and effectiveness of the proposed method.

Input-to-state stability of impulsive switched hybrid time-delay systems with delayed impulse effects

The input-to-state stability (ISS) and integral input-to-state stability (iISS) problems are addressed for a family of impulsive switched hybrid time-delay systems with delayed impulses. Employing the multiple Lyapunov–Krasovskii functionals method, sufficient conditions are established guaranteeing the ISS/iISS property of the given system. Here, the discrete dynamics are destabilizing (stabilizing) while the continuous dynamics may be stable (unstable). The impulsive, switching signals and delayed impulses are all considered which satisfy some dwell-time conditions. Two illustrative examples are presented to show that the proposed results are effective and a practical example is given to show a background of our model.

Finite-time resilient decentralized control for interconnected impulsive switched systems with neutral delay

This paper is concerned with the problem of finite-time control for a class of interconnected impulsive switched systems with neutral delay in which the time-varying delay appears in both the state and the state derivative. The concepts of finite-time boundedness and finite-time stability are respectively extended to interconnected impulsive switched systems with neutral delay for the first time. By applying the average dwell time method, sufficient conditions are first derived to cope with the problem of finite-time boundedness and finite-time stability for interconnected impulsive switched systems with neutral delay. In addition, the purpose of finite-time resilient decentralized control is to construct a resilient decentralized state-feedback controller such that the closed-loop system is finite-time bounded and finite-time stable. All the conditions are formulated in terms of linear matrix inequalities to ensure finite-time boundedness and finite-time stability of the given system. Finally, an example is presented to illustrate the effectiveness of the proposed approach.

Robustly resilient memory control for time-delay switched systems under asynchronous switching

The robustly resilient memory control problem is addressed for a class of switched systems with time delay under asynchronous switching. By resorting to the piecewise Lyapunov–Krasovskii functional, an asynchronous memory controller is designed to ensure the exponential stability of the closed-loop system. Here, the piecewise Lyapunov–Krasovskii functional means that for the activated subsystem, the associated Lyapunov–Krasovskii functional on the unmatched interval is different from that on the matched interval. Then an asynchronously resilient memory controller is derived to guarantee that the corresponding closed-loop system is robustly exponentially stable for all the admissible uncertainties. All the conditions are cast into the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the validity of the proposed results.

Output regulation for switched LPV systems with Markovian jump parameters and its application

This paper deals with the output regulation problem for switched linear parameter-varying (LPV) systems with Markovian jump parameters under partially unknown transition probabilities. Our aim is to find a feedback controller, such that the regulated output asymptotically converges to zero and the closed-loop system is stochastically stable when ω ( t ) ≡ 0 . Firstly, we give sufficient conditions for the solvability of the output regulation problem. Then, using the parameter-dependent stochastic Lyapunov functions method, we design a state feedback controller and a regulation observer-based controller for individual switched LPV subsystems to solve the output regulation problem for the given systems. Finally, the output regulation problem of an aero-engine model is investigated, and the effectiveness of the proposed control design scheme is illustrated by its application to a speed regulation problem of an aero-engine.

Adaptive neural network asymptotical tracking control for an uncertain nonlinear system with input quantisation

In this paper, the problem of adaptive neural network asymptotical tracking is investigated for a class of nonlinear system with unknown function, external disturbances and input quantisation. Based on neural network technique, an adaptive asymptotical tracking controller is provided for an uncertain nonlinear system via backstepping method. In order to reduce complexity of the control algorithm in the backstepping design process, a sliding mode differentiator is employed to estimate the virtual control law and only two parameters need to be estimated via adaptive control technique. The stability of the closed-loop system is analysed by using Lyapunov function method and zero-tracking error performance is obtained in the presence of unknown nonlinear function, external disturbances and input quantisation. Finally, an application example is employed to demonstrate the effectiveness of the proposed scheme.

Anti-disturbance control for time-varying delay Markovian jump nonlinear systems with multiple disturbances

ABSTRACT In this paper, the problem of composite anti-disturbance resilient control is addressed for time-varying delay Markovian jump nonlinear systems with multiple disturbances. The disturbances are assumed to include two parts: the first one in the input channel is described by an external system with perturbations; the second one is supposed to be bounded H2 norm. By combining disturbance observer and L2–L∞ control method, the disturbances are attenuated and rejected, simultaneously, and the desired dynamic performance can be obtained for time-varying delay Markovian jump nonlinear systems. Moreover, the gains of the resilient controller and the observer are acquired by applying linear matrix inequalities (LMIs) technology. Finally, an application example is presented to show the effectiveness of the proposed approach.

Composite adaptive anti-disturbance control for MIMO nonlinearly parameterized systems with mismatched general periodic disturbances

ABSTRACT In this paper, the problem of anti-disturbance control for a class of multi-input and multi-output (MIMO) nonlinearly parameterized systems with mismatched general periodic disturbances is investigated via a composite adaptive anti-disturbance control scheme. The composite adaptive anti-disturbance control method is presented by using disturbance observer technique, back-stepping method and adaptive control approach. A novel disturbance observer is designed to estimate the disturbances generated by a linear system with nonlinear output function. Rigorous stability analysis for the augmented closed-loop system is developed by direct Lyapunov stability theory. It is shown that the system outputs asymptotically converge to zero in the presence of mismatched general periodic disturbances. Finally, a simulation example is given to demonstrate the effectiveness of the proposed method.