287 research outputs found
Dissipative Systems Theory
In this chapter the general theory of dissipative systems is treated, laying much of the foundation for subsequent chapters
Compositional Synthesis of Control Barrier Certificates for Networks of Stochastic Systems against -Regular Specifications
This paper is concerned with a compositional scheme for the construction of
control barrier certificates for interconnected discrete-time stochastic
systems. The main objective is to synthesize switching control policies against
-regular properties that can be described by accepting languages of
deterministic Streett automata (DSA) along with providing probabilistic
guarantees for the satisfaction of such specifications. The proposed framework
leverages the interconnection topology and a notion of so-called control
sub-barrier certificates of subsystems, which are used to compositionally
construct control barrier certificates of interconnected systems by imposing
some dissipativity-type compositionality conditions. We propose a systematic
approach to decompose high-level -regular specifications into simpler
tasks by utilizing the automata corresponding to the complement of
specifications. In addition, we formulate an alternating direction method of
multipliers (ADMM) optimization problem in order to obtain suitable control
sub-barrier certificates of subsystems while satisfying compositionality
conditions. We also provide a sum-of-squares (SOS) optimization problem for the
computation of control sub-barrier certificates and local control policies of
subsystems. Finally, we demonstrate the effectiveness of our proposed
approaches by applying them to a physical case study
Control Law Design for Distributed Multi-Agent Systems
In this paper, the problem of control law design for decentralized homogenous Multi-Agent systems ensuring the global stability and global performance properties is considered. Inspired by the decentralized control law design methodology using the dissipativity input-output approach, the problem is reduced to the problem of satisfying two conditions: (i) the condition on the interconnection and (ii) the condition on the local agent dynamics. Both problems are e fficiently solved applying a (quasi-) convex optimization under Linear Matrix Inequality (LMI) constraints and an H infinity synthesis. The proposed design methodology is applied to the control law design of a synchronous PLLs network
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