This paper is concerned with the problem of finding a low-rank solution of an arbitrary sparse linear matrix inequality (LMI). To this end, we map the sparsity of the LMI problem into a graph. We develop a theory relating the rank of the minimum-rank solution of the LMI problem to the sparsity of its underlying graph. Furthermore, we propose three graph-theoretic convex programs to obtain a low...

This paper presents investigations into the development of a linear matrix inequalities (LMI) based robust PID control of a nonlinear Two-Link Flexible Manipulator (TLFM) incorporating payload. A set of linear models of a TLFM is obtained by using system identification method in which the linear model represents the operating ranges of the dynamic system. Thus, the LMI constraints permit to rob...

This paper describes the LMI synthesis of feedback controllers which minimise closed loop transient perturbation growth with limited control effort. Controllers are synthesized for the linearised Lorenz equations, and their performance is compared to that of LQR controllers. At low control effort the controllers behave similarly, but the LMI based controllers are able to produce an almost monot...

In this paper, we propose novel LMI conditions for the stability and l2 gain performance analysis of discrete-time linear periodically time-varying (LPTV) systems. These LMIs are convex with respect to all of the coefficient matrices of the LPTV systems and this property is promising when we deal with several control system analysis and synthesis problems. For example, we can apply those LMIs s...

Systems with delays are a specific group of dynamic systems. The fact that some delays can be short and some can be long makes system analysis and control design much more complex. In this paper we present a proposal to solve the problem of stability and control design of continuous time systems with time-varying delays. Based on the Lyapunov-Krasovskii functional the stability condition is der...

In this paper, the global exponential stability analysis problem is considered for a class of recurrent neural networks (RNNs) with time delays and Markovian jumping parameters. The jumping parameters considered here are generated from a continuous-time discrete-state homogeneous Markov process, which are governed by a Markov process with discrete and finite state space. The purpose of the prob...

In this work we study a new approach of fault tolerant control schema.The suggested strategy is an active Fault Tolerant Control (FTC) strategy that reconfigures the controller on-line taking into account changes due to the faults where both the block of fault detection and the block of the controller are formulated as a Linear Matrix Inequality (LMI) problem. The problem of fault estimation is...

The focus of the research is on the design of a decentralized output feedback controller for a class of large-scale systems using linear matrix inequalities (LMI). The class of large-scale systems is characterized by unmatched nonlinear interconnection functions that are uncertain but quadratically bounded in the overall system state. An elegant LMI solution to the problem is provided in (Silja...

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...