Singular Perturbations in Deterministic and Stochastic Hybrid Control Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Singular Perturbations in Deterministic and Stochastic Hybrid Control Systems PDF full book. Access full book title Singular Perturbations in Deterministic and Stochastic Hybrid Control Systems by Minh-Tuan Nguyen. Download full books in PDF and EPUB format.
Author: Minh-Tuan Nguyen
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 380
Get Book Here
Book Description
Author: Minh-Tuan Nguyen
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 380
Get Book Here
Book Description
Author: Mohamad S. Alwan
Publisher: Springer
ISBN: 9811080461
Category : Technology & Engineering
Languages : en
Pages : 252
Get Book Here
Book Description
This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.
Author: Christos G. Cassandras
Publisher: CRC Press
ISBN: 1420008544
Category : Technology & Engineering
Languages : en
Pages : 300
Get Book Here
Book Description
Because they incorporate both time- and event-driven dynamics, stochastic hybrid systems (SHS) have become ubiquitous in a variety of fields, from mathematical finance to biological processes to communication networks to engineering. Comprehensively integrating numerous cutting-edge studies, Stochastic Hybrid Systems presents a captivating treatment of some of the most ambitious types of dynamic systems. Cohesively edited by leading experts in the field, the book introduces the theoretical basics, computational methods, and applications of SHS. It first discusses the underlying principles behind SHS and the main design limitations of SHS. Building on these fundamentals, the authoritative contributors present methods for computer calculations that apply SHS analysis and synthesis techniques in practice. The book concludes with examples of systems encountered in a wide range of application areas, including molecular biology, communication networks, and air traffic management. It also explains how to resolve practical problems associated with these systems. Stochastic Hybrid Systems achieves an ideal balance between a theoretical treatment of SHS and practical considerations. The book skillfully explores the interaction of physical processes with computerized equipment in an uncertain environment, enabling a better understanding of sophisticated as well as everyday devices and processes.
Author: Zigang Pan
Publisher:
ISBN:
Category :
Languages : en
Pages : 384
Get Book Here
Book Description
The class of uncertainties that may be present in dynamical systems includes, but is not limited to, unknown disturbance inputs, unpredictable abrupt structural changes, unknown parameters, and unmodeled fast dynamics. A number of different stochastic and deterministic models that incorporate these uncertainties have been proposed in the literature, and these have led to different robust control and filtering problem formulations, methodologies, and resulting robust designs. This thesis presents novel formulations of three different classes of problems featuring the types of uncertainties described above, studies them from the points of view of model reduction and robust controller design, and develops new theory and methodology for their solutions. The common thread that runs through these three classes of problems (which involve both deterministic and stochastic systems) is the use of "singular perturbations," either as a modeling tool or as a computational tool. The reason for adopting the singular perturbations framework is threefold. First, we must study robustness with respect to fast unmodeled dynamics of different control or filtering designs. The second reason is to incorporate appropriate knowledge on fast dynamics into the design, without using the full-order system, so as to improve performance and to alleviate the numerical ill-conditioning associated with the computation of the full-order solution. Third, we must obtain "reliable" reduced-order models for large-scale systems that exhibit two or multi time-scale behavior, such that the solution to the reduced-order model can achieve a desired performance for the full-order system. The thesis can naturally be divided into three parts. In the first part, the problem of optimal control and model reduction for singularly perturbed linear Gaussian systems under an exponential-of-quadratic performance index is addressed, for which a complete solution is obtained that achieves all three objectives stated above. In the second part, which comprises two chapters, solutions to the problem of model reduction for large-scale jump linear systems are presented. The original system is again assumed to exhibit a two-time-scale behavior, and two types of time-scale separations are studied in detail in two separate chapters. Finally, in the last part of the thesis, which also comprises two chapters, solutions to problems of robust parameter identification and robust adaptive control are presented. For these classes of problems, the original system may not exhibit a two-time-scale behavior at the outset, but time-scale decomposition arises naturally due to singularity in the measurement scheme. A singular perturbation analysis is then employed to construct reduced-order identifiers and controllers and to prove their optimality. Again, the three objectives are achieved for the closed-loop system. The thesis ends with some concluding remarks, delineation of its main contributions, and some discussions on future extensions of these results.
Author: Desineni S. Naidu
Publisher: IET
ISBN: 9780863411076
Category : Technology & Engineering
Languages : en
Pages : 314
Get Book Here
Book Description
This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).
Author: Alain Bensoussan
Publisher: Wiley
ISBN: 9780471919940
Category : Mathematics
Languages : en
Pages : 588
Get Book Here
Book Description
Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.
Author: Kapriel Varujan Krikorian
Publisher:
ISBN:
Category : Delay lines
Languages : en
Pages : 192
Get Book Here
Book Description
Author: Kokotovic Petar V
Publisher: New York : Institute of Electrical and Electronics Engineers
ISBN:
Category : Computers
Languages : en
Pages : 514
Get Book Here
Book Description
Very Good,No Highlights or Markup,all pages are intact.
Author: Desineni S. Naidu
Publisher: Springer
ISBN: 3540396810
Category : Science
Languages : en
Pages : 204
Get Book Here
Book Description
Author: Leonhard Asselborn
Publisher: kassel university press GmbH
ISBN: 3737605807
Category : Hybrid systems
Languages : en
Pages : 172
Get Book Here
Book Description
This thesis proposes an algorithmic controller synthesis based on the computation of probabilistic reachable sets for stochastic hybrid systems. Hybrid systems consist in general of a composition of discrete and continuous valued dynamics, and are able to capture a wide range of physical phenomena. The stochasticity is considered in form of normally distributed initial continuous states and normally distributed disturbances, resulting in stochastic hybrid systems. The reachable sets describe all states, which are reachable by a system for a given initialization of the system state, inputs, disturbances, and time horizon. For stochastic hybrid systems, these sets are probabilistic, since the system state and disturbance are random variables. This thesis introduces probabilistic reachable sets with a predefined confidence, which are used in an optimization based procedure for the determination of stabilizing control inputs. Besides the stabilizing property, the controlled dynamics also observes input constraints, as well as, so-called chance constraints for the continuous state. The main contribution of this thesis is the formulation of an algorithmic control procedure for each considerd type of stochastic hybrid systems, where different discrete dynamics are considered. First, a control procedure for a deterministic system with bounded disturbances is introduced, and thereafter a probabilistic distribution of the system state and the disturbance is assumed. The formulation of probabilistic reachable sets with a predefined confidence is subsequently used in a control procedure for a stochastic hybrid system, in which the switch of the continuous dynamics is externally induced. Finally, the control procedure based on reachable set computation is extended to a type of stochastic hybrid systems with autonomously switching of the continuous dynamics.
