Srimanta Santra

Mixed H∞ and passive control for singular Markovian jump systems with time delays

Abstract This paper addresses the problem of admissibility analysis, and mixed H ∞ and passive control synthesis for a class of singular systems with Markovian jumps and time delays. By implementing an appropriate Lyapunov–Krasovskii functional together with Wirtinger-based inequality, a new set of delay dependent sufficient condition is derived in terms of linear matrix inequalities which guarantees that the singular Markovian jump system is regular, impulse-free and stochastically stable. In particular, the delay factor is assumed to be either constant or time varying, and either differentiable or non-differentiable. Also, it is noted that the proposed stochastic admissibility criteria are delay dependent in general and delay derivative dependent when the delay is differentiable. Further, mixed H ∞ and passive control design with an appropriate gain matrix has been derived to achieve the stabilization for singular systems in the presence of differentiable as well as non-differentiable time varying delays. More precisely, when the proposed LMIs are feasible, an expression for a desired mixed H ∞ and passive control will be determined. Also, as special cases different control systems such as H ∞ and passivity control process can be achieved for the considered systems with the proposed design procedure. Finally, several numerical examples including DC motor driving model are given to verify the effectiveness of the proposed design technique.

Admissibility analysis and control synthesis for descriptor systems with random abrupt changes

This article addresses the admissibility analysis and state-feedback robust control synthesis problem for a class of uncertain descriptor systems with time delays and Markovian jumping parameters. In particular, the delay factor is assumed to be time varying which belongs to a given interval and parameter uncertainties are assumed to be time-varying but norm bounded. By implementing linear matrix inequality optimization approach together with delay fractioning technique, a new set of delay dependent sufficient condition is derived which guarantees that the uncertain singular system to be regular, impulse-free and stochastically stable. Further, a static robust control design with an appropriate gain control matrix has been derived to achieve the robust stabilization for uncertain singular systems in the presence admissible parameter uncertainties and random abrupt changes. By considering the relationship among the time varying delay and its lower and upper bounds, a new set of sufficient conditions are established for the existence of state feedback control in terms of LMIs, which can be efficiently solved via MATLAB LMI toolbox. More precisely, when these LMIs are feasible, an expression of a desired static robust control will be determined. Further, numerical examples with simulation result are given to show that the obtained result significantly improve the allowable upper bounds of delays over some existing results.

Resilient Sampled-Data Control for Markovian Jump Systems With an Adaptive Fault-Tolerant Mechanism

This brief investigates the problem of passivity-based resilient sampled-data control for Markovian jump systems subject to actuator faults via an adaptive fault-tolerant mechanism. By constructing a proper Lyapunov function, a set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which ensures that the closed-loop system is stochastically passive. In order to reflect the imprecision in controller, the additive gain variations is considered. Then, the resilient sampled-data control parameters can be determined by solving the obtained LMIs. Finally, an illustrative example is presented to show the validity and applicability of the proposed design technique.

Dissipative reliable controller design for uncertain systems and its application

This paper address the reliable robust strictly (Q, R, S) dissipative control problem for a class of uncertain continuous time systems with input delay and linear fractional uncertainties despite possible actuator failures in system model. In particular, by employing a novel Lyapunov functional together with delay fractioning approach, a reliable control law is designed in terms of the solution of certain linear matrix inequalities which makes the considered system strictly (Q, R, S) dissipative which can be easily solved by using the available software. At the same time, as special cases the H∞, passivity, mixed H∞ and passivity control problems can obtained from the proposed dissipative control formulation. This explains the fact that the dissipative control unifies H∞ control, passive control, and mixed H∞ and passivity control in a single framework. Finally, a numerical example based on a mechanical system is given to demonstrate the effectiveness and applicability of the proposed design approach. More precisely, the proposed results have been compared through numerical simulation which reveals that the obtained criteria are considerably less conservative than some existing results.

Observer-based control for switched networked control systems with missing data

This paper addresses the issue of observer-based control problem for a class of switched networked control systems (NCSs). In particular, by considering the packet loss and time delay in the network, a discrete-time switched system is formulated. Moreover, the packet loss in the network is assumed to occur in a random way, which is described by introducing Bernoulli distributed white sequences. First, results for the exponential stabilization of discrete-time switched NCSs without random packet loss is derived by using the average dwell time approach and multiple Lyapunov–Krasovskii function. Next, the attention is focused on designing an observer-based state feedback controller for NCSs with random packet loss which ensures that the resulting error system is exponentially stable. Further, the sufficient conditions for existence of control parameters are formulated in the form of linear matrix inequalities (LMIs) which can be easily solved by using some standard numerical packages. Also, the observer and control gains can be calculated by using the solutions of a set of LMIs. Finally, a numerical example based on DC motor model is provided to illustrate the applicability and effectiveness of the proposed design procedure.

Dissipative sampled-data controller design for singular networked cascade control systems

Abstract This paper is concerned with the problem of dissipative fault-tolerant cascade control synthesis for a class of singular networked cascade control systems (NCCS) with both differentiable and non-differentiable time-varying delays. By constructing the appropriate Lyapunov–Krasovskii functional using the available information about the actual sampling pattern, a new set of sufficient condition is obtained to guarantee that the singular networked cascade control systems to be admissible and strictly ( Q , S , R ) -dissipative . Based on the criterion, a design algorithm for the desired sampled-data cascade controller is formulated in terms of linear matrix inequalities. More precisely, Jensen׳s integral inequality together with Wirtinger-based inequality is used in derivation of the main result. From the obtained dissipative result, we deduce three cases namely H ∞ performance, passivity performance, mixed H ∞ and passivity performance for the considered singular NCCS. Finally, a power plant boiler-turbine system is given to demonstrate the effectiveness and applicability of the proposed design techniques.

Reliable H ∞ Stabilization of Fuzzy Systems with Random Delay Via Nonlinear Retarded Control

In this paper, the robust reliable

Robust sampled-data PI controller design for networked control systems

H_\infty