Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback

Abstract

This paper is concerned with the problem of passivity-based control for Markovian jump systems via retarded output feedback controllers. A delaydependent passivity criterion is obtained in terms of linear matrix inequalities. Based on this, a sufficient condition is proposed for the design of a retarded output feedback controller which ensures that the closed-loop system is passive. By using the sequential linear programming matrix method, a desired retarded output feedback controller can be constructed. Numerical examples are provided to demonstrate the advantage and effectiveness of the proposed method.

Output Strictly Passive Control of Uncertain Singular Neutral Systems

“…When we apply the controller (16) to system ((1a), (1b), and (1c)), the resulting closed-loop system is written aṡ…”

“…In this section, a controller (16) with (17) and (19) will be designed and satisfy the following conditions:…”

“…Theorem 14. Consider a state-delay uncertain neutral singular system ((1a), (1b), and (1c)); there exists a controller (16) with multiplicative gain perturbation in (19) and (20)…”

“…And Li [15], for example, studied robust control for this kind of systems. Since the 70s, the control problem of passivity [16] theory has attracted much attention due to its both practical and theoretical importance. Therefore, about passive control for neutral system, there are very few literatures.…”

Finite-TimeH∞Control for a Class of Discrete-Time Markov Jump Systems with Actuator Saturation via Dynamic Antiwindup Design

“…On the other hand, Markov jump is frequently encountered in many practical systems. Therefore, the study of Markov jump systems has been a hot research topic due to its importance, and many results have been proposed based on various control techniques, such as robust control [5][6][7][8][9], ∞ control [10,11], Passivity-based control [12][13][14], fuzzy dissipative control [15], and neural networks control [14,16]. Furthermore, observer based finite-time ∞ control problem of discrete-time Markov jump systems was studied [17].…”