The present paper discusses the stability analysis of discrete-time uncertain nonlinear systems with time-varying delay, uncertainties related to parametric uncertainty and unknown nonlinearity. The time-varying delay considered has minimum and maximum bounds. The novelty of Chebyshev Neural Network (CNN) is that it requires much less computation time as compared to multi layer neural network (...

In this paper, two robust decentralised proportional integral (PI) control designs are proposed for load frequency control (LFC) with communication delays. In both methodologies, the PI based LFC problem is reduced to a static output feedback (SOF) control synthesis for a multiple delay system. The first one is based on the optimal H1 control design using a linear matrix inequalities (LMI) tech...

This paper discusses analysis and synthesis techniques for robust pole placement in LMI regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix. For this class of uncertain systems, the notion of quadratic stability and the related robustness analysis tests are gen...

This paper addresses the problem of simultaneous static output-feedback stabilization of a collection of interval time-delay systems. It is shown that this problem can be converted into a matrix measure assignment problem. Sufficient conditions for guaranteeing the robust stability for considered systems are derived in term of the matrix measures of the system matrices. By using matrix inequali...

This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the H∞ and H2 model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order n to be reduced to an order r = n/s where n, r, s ∈ N. Arbitrary order of the reduced model can be enforced by including states in the original system with negligible input-to-output...

In this paper an approach for robust anti-windup compensation design for PID controllers based on the characterization of H2 and H∞ norms as Linear Matrix Inequalities (LMI) is presented. The robustness is considered by assuring the closed loop performance, spite of unknown changes on the actuator saturation limits. The stability and performance margins are evaluated from H2 and H∞ norms of the...

Recent papers have demonstrated the e ectiveness of our iterative algorithm using linear matrix inequalities (LMI's) on several parametric robust H1 control designs. This paper presents two additional important components to the discussion on the behavior of the new LMI-based iterative algorithm: a comparison study between the LMI synthesis technique and the existing iterative approaches of the...

This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the H∞ and H2 model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order n to be reduced to an order r = n/s where n, r, s ∈ N. Arbitrary order of the reduced model can be enforced by including states in the original system with negligible input-to-output...

This paper presents a novel approach for designing reconfiguration blocks fault hiding of linear systems subject to actuator faults based on the passivity/dissipativity theory. For this purpose, concept passivation block is used design virtual actuators (VAs) which guarantee that faulty plant achieves desired passivity indices and consequently stability. Linear matrix inequalities (LMI)-based c...

This paper is concerned with distributed H∞ filtering for a class of continuous-time linear plants over sensor networks with multiple communication channels (MCCs). A practical framework is presented to optimize communication over MCCs with uncertain delays and switching characteristics. The channel switching is assumed to follow a continuous-time Markov chain and a Markov jump linear system (M...