A Strict LMI Condition for Strictly Positive Real Control

Positive Real Synthesis of Networked Control System: An LMI Approach

This paper presents the positive real analysis and synthesis for Networked Control Systems (NCS) in discrete-time. Based on the definition of passivity, the sufficient condition of NCS is given by stochastic Lyapunov functional. The controller via state feedback is designed to guarantee the stability of NCS and closed-loop positive realness. It is shown that a mode-dependent positive real contr...

Sprst - a Robust Strictly Positive Real Synthesis Toolbox for Matlab

A new robust Strictly Positive Real Synthesis Toolbox (SPRSt) for use with Matlab has been developed. Some algorithms for robust Strictly Positive Real Synthesis are introduced briefly and the use of the toolbox is illustrated by several examples. At last a link to downloadable code is provided.

Strictly Positive Definite Functions on a Real Inner Product Space

Abstract. If f(t) = ∑∞ k=0 akt k converges for all t ∈ IR with all coefficients ak ≥ 0, then the function f(< x,y >) is positive definite on H ×H for any inner product space H. Set K = {k : ak > 0}. We show that f(< x,y >) is strictly positive definite if and only if K contains the index 0 plus an infinite number of even integers and an infinite number of odd integers.

Robust Fractional Adaptive Control Based on the Strictly Positive Realness Condition

This paper presents a new approach to robust adaptive control, using fractional order systems as parallel feedforward in the adaptation loop. The problem is that adaptive control systems may diverge when confronted with finite sensor and actuator dynamics, or with parasitic disturbances. One of the classical robust adaptive control solutions to these problems makes use of parallel feedforward a...

Robotic force control using observer-based strict positive real impedance control