Non-fragile Reliable Control Research Articles

Non-fragile reliable control for multi-agent systems with actuator faults using an improved L-K functional

Non-fragile reliable control for multi-agent systems with actuator faults using an improved L-K functional

Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults

This paper investigates the dissipativity-based asynchronous sampled-data control design for a class of Takagi–Sugeno fuzzy Markovian jump systems along with time delay, gain fluctuations, and actuator failures. To do this, the hidden Markov model is introduced to describe the phenomenon of asynchronization between the controller and the given fuzzy jump systems. Then, a novel mode-dependent Lyapunov–Krasovskii functional is constructed to achieve the stability conditions and expand the maximum sampling period of fuzzy systems. The main purpose of this study is to design the asynchronous non-fragile reliable control with sampled-data information such that the mode-dependent fuzzy system is stochastically stable and possesses the dissipativity performance. For this, a sufficient condition is derived for the proposed system in the form of linear matrix inequalities. Meanwhile, the less conservative results and the desired controller are attained by solving the inequalities. At last, the validity and the superiority of our design technique are demonstrated by numerical examples.

Non-fragile reliable control for positive Markovian jump systems based on event-triggered mechanism

This paper is concerned with the non-fragile reliable control of positive Markovian jump systems with actuator saturation based on event-triggered mechanism. First, an event-triggering condition is given in the form of 1-norm. Using a stochastic co-positive Lyapunov function, a design approach is proposed for the non-fragile controller gain and the corresponding auxiliary feedback gain. Under the designed controller, the closed-loop system is positive and stochastically stable even if actuator faults occur. A cone is constructed as the invariant set of the systems. All conditions are solvable in terms of linear programming. Finally, two examples are provided to verify the effectiveness of the obtained results.

Event‐triggered control of nonlinear positive semi‐Markovian jump systems with randomly occurring actuator faults

AbstractThis article is concerned with the event‐triggered nonfragile reliable control of nonlinear positive semi‐Markovian jump systems with randomly occurring faults. The randomly occurring actuator fault, describing the phenomenon of the actuator fault appearing in a random way, is assumed to obey a semi‐Markovian process different from the jump process of the systems. The nonlinear function is located in a sector. Using a stochastic copositive Lyapunov function integrated with linear programming, an event‐triggered control strategy is employed to deal with the stochastic stabilization of the underlying systems, where the transition rates satisfy a polytopic uncertain condition. Nonfragile reliable controllers with additive and multiplicative perturbations are proposed for the considered systems, respectively. Compared with existing results, the obtained approach establishes a more general fault description and proposes a more practicable control design. Finally, the novelties of the proposed approach are verified via two examples.

Dynamic output nonfragile reliable control for nonlinear fractional-order glucose–insulin system

The main intention of this paper is to scrutinize the problem of internal model-based dynamic output feedback nonfragile reliable control problem for fractional-order glucose–insulin system. Specifically, a robust control law that represents the insulin injection rate is designed in order to regulate the level of glucose in diabetes treatment in the existence of meal disturbance or external glucose infusion due to improper diet. By the construction of suitable Lyapunov functional, a novel set of sufficient conditions is derived with the aid of linear matrix inequalities for obtaining the required dynamic output feedback control law. In particular, the designed controller ensures the robust stability and disturbance attenuation performance against meal disturbance of the glucose–insulin system. Numerical simulation results are performed to verify the advantage of the developed design technique. Specifically, the irregular blood glucose level can be brought down to normal level by injecting suitable rate of insulin to the patient. The result exposes that the level of blood glucose is sustained in the identified ranges via the proposed dynamic output feedback control law.

Non‐fragile control design and state estimation for vehicle dynamics subject to input delay and actuator faults

In this study, the authors precisely concentrate on the issue of state estimator-based non-fragile reliable control design of the vehicle dynamics in critical situations via the extended dissipative theory. In particular, the vehicle dynamics for rollover mitigation with input time delay and the state estimator are represented by the Takagi–Sugeno (T-S) fuzzy model. Moreover, by constructing a suitable Lyapunov–Krasovskii functional, sufficient conditions for asymptotic stability and extended dissipativity of the proposed T-S fuzzy control system are formulated in terms of linear matrix inequalities (LMIs) such that the estimated state values are exactly synchronised with the actual state values of the considered vehicle model. Also, a non-fragile reliable control design method is then presented via the formulated LMI-based conditions, which can satisfactorily prevent the vehicle rollover in critical situations. Finally, the proposed theoretical results are verified through simulations wherein the significance and importance of the designed non-fragile controller are clearly illustrated.

Synchronization of coupled memristive neural networks with actuator saturation and switching topology

This study inspects the synchronization problem for a class of coupled memristive neural networks against parameter uncertainties, actuator saturation and switching topology, where the saturation effect is incorporated in the control design. The main objective of this study is to originate a non-fragile reliable controller with saturation effect such that the state trajectories of the proposed coupled memristive neural networks are initiated to synchronize asymptotically to the leader node under direct communication topology. In particular, a novel set of sufficient conditions is derived in conjunction with graph theory and the Lyapunov’s direct method for obtaining the asymptotic synchronization of the addressed coupled memristive neural networks. After that, the explicit form of the controller gains are obtained by using linear matrix inequalities. Eventually, two numerical examples are presented to verify the feasibility and effectiveness of the proposed synchronization criteria.

Nonfragile reliable control for positive switched systems with actuator faults and saturation

SummaryThis paper presents a nonfragile reliable control approach to positive switched systems with actuator faults and saturation. In order to guarantee the reliability of the controller, the controller gain matrix is chosen as the sum of a normal gain matrix and a gain perturbation matrix. A nonfragile reliable control is first proposed for the considered systems using a gain matrix decomposition technique. Then, the presented nonfragile control design approach is developed for the systems with exogenous disturbances. An approach to compute the normal gain matrix and the gain perturbation matrix is also provided. Under the obtained controller, the resulting closed‐loop systems are positive and L1‐gain stable. Meanwhile, all the states will stay inside a cone. All presented conditions are described via linear programming. Finally, two examples are provided to verify the effectiveness of the theory findings.

Non-fragile reliable sampled-data controller for nonlinear switched time-varying systems

This paper addresses dissipative-based stability analysis and robust mixed non-fragile reliable control design for an uncertain nonlinear switched system. In particular, actuator failures and time-varying delay with a known upper bound on the sampling intervals are taken into account of the considered system. By using a matrix inequality approach and by constructing a proper Lyapunov–Krasovskii functional that utilizes the complete available information about the actual sampling pattern and time-varying delay, we formulate stability conditions and a control design procedure in the form of linear matrix inequalities for obtaining the required result. More precisely, a dissipative based non-fragile reliable sampled-data controller is designed such that the resulting closed-loop switched system is reliable in the sense that it is exponentially stable and satisfies certain dissipative performance index under the given conditions. It should be mentioned that the implemented Lyapunov functionals are more general since they incorporate the nonlinearities of the system model in its design. Further, the performance of the proposed controller is demonstrated through a numerical example to show the validity and applicability of the proposed design technique.

Non‐fragile reliable control synthesis of the sugarcane borer

This study considers the problem of non-fragile reliable control synthesis for mathematical model of interaction between the sugarcane borer (Diatraea saccharalis) and its egg parasitoid Trichogramma galloi. In particular, the control could be substituted by periodic releases of a small population of natural enemies and hence it is important to propose the time-varying controller in sugarcane borer. The main aim of this study is to design a state feedback non-fragile (time-varying) reliable controller such that the states of the sugarcane borer system reach the equilibrium point within the desired period. A novel approach is proposed to deal with the uncertain matrices which appear in non-fragile reliable control. Finally, simulations based on sugarcane borer systems are conducted to illustrate the advantages and effectiveness of the proposed design technique. The result reveals that the proposed non-fragile control provides good performance in spite of periodic releases of a small population of natural enemies occurs.

Research on Gait Planning of Quadruped Search Robot Based on Non-fragile Reliable Control Strategy with the D-stability

The problem of gait planning for the quadruped search robot is described as an uncertainty discrete system. According to the basic gait elements of the quadruped search robot, the periodic gait of the robot is analyzed on the basis of gait timing diagram. The non-fragile control theory is proposed for gait planning control of quadruped search robot. A non-fragile reliable adaptive controller is designed for adaptive gait transition with the D-stability, which makes the gait planning to be regular, causal and D-stable. The condition of controller is given based on robust control theory, which include theorem 1 and theorem 2. And the approaches of designing the controller are given in terms of linear matrix inequalities. The results given by linear matrix inequalities indicate that the proposed non-fragile reliable robust controller is correct and effective.

Non-fragile reliable [formula omitted] for delta operator switched linear systems

This paper is concerned with the non-fragile reliable D-stabilization problem of a class of delta operator switched linear systems with actuator faults, in terms of linear matrix inequalities (LMIs). Firstly, to handle the determination problem of the decay rate of a delta operator system in the process of D-stabilizing, the theory of first-order LMI regions is proposed. Secondly, to deal with the uncertain matrices multiplication phenomenon appearing in non-fragile reliable control, a new approach is proposed. Based on the average dwell time technique and the two new methods mentioned above, the state feedback controller and the switching law are designed to guarantee that all the closed-loop poles of each mode lie in a specified disk and the closed-loop switched system is exponentially stable. Finally, the validity and feasibility of the proposed approach are illustrated by a flight control system example.

Non-Fragile Reliable Control Law with the D-Stability of a Claw-Shaped Docking Mechanism Based on Kinetic Analysis

Non-Fragile Reliable Control Law with the D-Stability of a Claw-Shaped Docking Mechanism Based on Kinetic Analysis