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This paper presents novel controllers that yield finite-time stability for linear systems. We first present a sufficient condition for the origin of a scalar system to be finite-time stable. Then we present novel finite-time controllers…

Dynamical Systems · Mathematics 2021-06-11 Kunal Garg , Dimitra Panagou

The unrealizability of a specification is often due to the assumption that the behavior of the environment is unrestricted. In this paper, we present algorithms for synthesis in bounded environments, where the environment can only generate…

Logic in Computer Science · Computer Science 2021-01-01 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

Learning controllers merely based on a performance metric has been proven effective in many physical and non-physical tasks in both control theory and reinforcement learning. However, in practice, the controller must guarantee some notion…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Arash Mehrjou , Mohammad Ghavamzadeh , Bernhard Schölkopf

We propose a framework for the design of feedback controllers that combines the optimization-driven and model-free advantages of deep reinforcement learning with the stability guarantees provided by using the Youla-Kucera parameterization…

Machine Learning · Computer Science 2024-03-25 Nathan P. Lawrence , Philip D. Loewen , Shuyuan Wang , Michael G. Forbes , R. Bhushan Gopaluni

We propose a symbolic self-triggered controller synthesis procedure for non-deterministic continuous-time nonlinear systems without stability assumptions. The goal is to compute a controller that satisfies two objectives. The first…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Sasinee Pruekprasert , Clovis Eberhart , Jérémy Dubut

We consider the problem of controller synthesis under imperfect information in a setting where there is a set of available observable predicates equipped with a cost function. The problem that we address is the computation of a subset of…

Systems and Control · Computer Science 2012-07-06 Peter Bulychev , Franck Cassez , Alexandre David , Kim G. Larsen , Jean-Francois Raskin , Pierre-Alain Reynier

In this technical note, we generalize the well-known Lyapunov-based stabilizability and detectability tests for linear time-invariant (LTI) systems to the context of discrete-time (DT) polytopic linear parameter-varying (LPV) systems. To do…

Optimization and Control · Mathematics 2023-03-21 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

Contract automata allow to formally define the behaviour of service contracts in terms of service offers and requests, some of which are moreover optional and some of which are necessary. A composition of contracts is said to be in…

Formal Languages and Automata Theory · Computer Science 2023-08-24 Davide Basile , Maurice H. ter Beek

Reactive synthesis transforms a specification of a reactive system, given in a temporal logic, into an implementation. The main advantage of synthesis is that it is automatic. The main disadvantage is that the implementation is usually very…

Logic in Computer Science · Computer Science 2021-01-01 Tom Baumeister , Bernd Finkbeiner , Hazem Torfah

The control of complex systems faces a trade-off between high performance and safety guarantees, which in particular restricts the application of learning-based methods to safety-critical systems. A recently proposed framework to address…

Systems and Control · Computer Science 2020-05-26 Kim P. Wabersich , Melanie N. Zeilinger

There is an increasing demand for controller design techniques capable of addressing the complex requirements of todays embedded applications. This demand has sparked the interest in symbolic control where lower complexity models of control…

Optimization and Control · Mathematics 2015-03-14 Manuel Mazo , Paulo Tabuada

In this work, we propose a novel approach for the continuous-time control synthesis of nonlinear systems under nested signal temporal logic (STL) specifications. While the majority of existing literature focuses on control synthesis for STL…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Pian Yu , Xiao Tan , Dimos V. Dimarogonas

Supervisory control theory provides means to synthesize supervisors for systems with discrete-event behavior from models of the uncontrolled plant and of the control requirements. The applicability of supervisory control theory often fails…

Systems and Control · Electrical Eng. & Systems 2021-04-27 Martijn Goorden , Joanna van de Mortel-Fronczak , Michel Reniers , Martin Fabian , Wan Fokkink , Jacobus Rooda

In this article, we consider the problem of synthesizing switching controllers for temporal properties through the composition of simple primitive reach-while-stay (RWS) properties. Reach-while-stay properties specify that the system states…

Systems and Control · Computer Science 2017-11-30 Hadi Ravanbakhsh , Sriram Sankaranarayanan

In this paper we introduce a class of Linear Temporal Logic (LTL) specifications for which the problem of synthesizing controllers can be solved in polynomial time. The new class of specifications is an LTL fragment that we term Mode-Target…

Optimization and Control · Mathematics 2016-12-20 Ayca Balkan , Moshe Vardi , Paulo Tabuada

This paper studies the online control synthesis problem for uncertain discrete-time systems subject to signal temporal logic (STL) specifications. Different from existing techniques, this work proposes an approach based on STL, reachability…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Pian Yu , Yulong Gao , Frank J. Jiang , Karl H. Johansson , Dimos V. Dimarogonas

Feedback asymptotic stabilization of control systems is an important topic of control theory and applications. Broadly speaking, if the system $\dot{x} = f(x,u)$ is locally asymptotically stabilizable, then there exists a feedback control…

Optimization and Control · Mathematics 2021-09-21 Bryce A. Christopherson , Boris S. Mordukhovich , Farhad Jafari

This paper is concerned with application of the classical Youla-Ku\v{c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent…

Quantum Physics · Physics 2015-03-10 Arash Kh. Sichani , Ian R. Petersen , Igor G. Vladimirov

We study the notion of structured realizability for linear systems defined over graphs. A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the…

Systems and Control · Computer Science 2012-12-11 Laurent Lessard , Maxim Kristalny , Anders Rantzer

The requirements for real-world manipulation tasks are diverse and often conflicting; some tasks require precise motion while others require force compliance; some tasks require avoidance of certain regions, while others require convergence…

Robotics · Computer Science 2024-12-13 Tianhao Wei , Liqian Ma , Rui Chen , Weiye Zhao , Changliu Liu