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Control of Linear Systems with Regulation and Input Constraints

Control of Linear Systems with Regulation and Input Constraints PDF Author: Ali Saberi
Publisher: Springer Science & Business Media
ISBN: 1447107276
Category : Technology & Engineering
Languages : en
Pages : 467

Book Description
This monograph couples output regulation with several recent developments in modern control theory. It re-examines output regulation theory to achieve a design of controllers that take into account the physical limiting characteristics of actuators such as saturation. The book provides a solution to the basic problem of finding a controller that achieves internal stabilization, results in a desired performance norm, and renders asymptotic tracking of a reference signal even in the presence of persistent disturbances.

Control of Linear Systems with Regulation and Input Constraints

Control of Linear Systems with Regulation and Input Constraints PDF Author: Ali Saberi
Publisher: Springer Science & Business Media
ISBN: 1447107276
Category : Technology & Engineering
Languages : en
Pages : 467

Book Description
This monograph couples output regulation with several recent developments in modern control theory. It re-examines output regulation theory to achieve a design of controllers that take into account the physical limiting characteristics of actuators such as saturation. The book provides a solution to the basic problem of finding a controller that achieves internal stabilization, results in a desired performance norm, and renders asymptotic tracking of a reference signal even in the presence of persistent disturbances.

Control of Linear Systems Subjet to Constraints

Control of Linear Systems Subjet to Constraints PDF Author: Guoyong Shi
Publisher:
ISBN:
Category : Linear systems
Languages : en
Pages : 460

Book Description


Saturated Control of Linear Systems

Saturated Control of Linear Systems PDF Author: Abdellah Benzaouia
Publisher: Springer
ISBN: 3319659901
Category : Technology & Engineering
Languages : en
Pages : 257

Book Description
This book deals with a combination of two main problems for the first time. They are saturation on control and on the rate (or increment) of the control, and the solution of unsymmetrical saturation on the control by LMIs. It treats linear systems in state space form, in both the continuous- and discrete-time domains. Necessary and sufficient conditions are derived for autonomous linear systems with constrained state increment or rate, such that the system evolves respecting incremental or rate constraints if any. A pole assignment technique is then used to solve the problem, giving stabilizing state feedback controllers that respect non-symmetrical constraints on control alone or on both control and its increment or rate. Illustrative examples show the application of these methods on academic examples or on such real plant models as the double integrator system. This problem is then extended to various others including: systems with constraints and perturbations; singular systems with constrained control; systems with unsymmetrical saturations; saturated systems with delay, and 2-D systems with saturations. The solutions obtained are of two types: necessary and sufficient conditions solved with linear programming techniques; and sufficient conditions under LMIs. A new approach extends existing techniques for dealing with symmetrical saturations to take direct account of unsymmetrical saturations into account with LMIs. This tool enables the authors to obtain new results on continuous- and discrete-time systems. The book uses illustrative examples and figures and provides many comparisons with existing results. Systems theoreticians interested in multidimensional systems and practitioners working with saturated and constrained controllers will find the research and background presented in Saturated Control of Linear Systems to be of considerable interest in helping them overcome problems with their plant and in stimulating further research.

Internal and External Stabilization of Linear Systems with Constraints

Internal and External Stabilization of Linear Systems with Constraints PDF Author: Ali Saberi
Publisher: Springer Science & Business Media
ISBN: 0817647872
Category : Science
Languages : en
Pages : 846

Book Description
Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and design of linear systems with general state and input constraints. For such systems, which can be used as models for most nonlinear systems, the issues of stability, controller design, additonal constraints, and satisfactory performance are addressed. The book is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. It may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design.

Approximations to the Optimal Control of Linear Systems Subject to State Variable Constraints by Use of Linear Programming Techniques

Approximations to the Optimal Control of Linear Systems Subject to State Variable Constraints by Use of Linear Programming Techniques PDF Author: August Frederick Fath
Publisher:
ISBN:
Category : Linear programming
Languages : en
Pages : 588

Book Description


Constrained Optimal Control of Linear and Hybrid Systems

Constrained Optimal Control of Linear and Hybrid Systems PDF Author: Francesco Borrelli
Publisher: Springer
ISBN: 9783662182758
Category : Mathematics
Languages : en
Pages : 206

Book Description
Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.

Time Sub-optimal Control of a Class of Linear Systems Subject to Several Simultaneous Input Constraints

Time Sub-optimal Control of a Class of Linear Systems Subject to Several Simultaneous Input Constraints PDF Author: Arthur Van Gelder
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 224

Book Description


Robust Control of Linear Systems Subject to Uncertain Time-Varying Parameters

Robust Control of Linear Systems Subject to Uncertain Time-Varying Parameters PDF Author: Francesco Amato
Publisher: Springer Science & Business Media
ISBN: 3540239502
Category : Technology & Engineering
Languages : en
Pages : 202

Book Description


Stability and Stabilization of Linear Systems with Saturating Actuators

Stability and Stabilization of Linear Systems with Saturating Actuators PDF Author: Sophie Tarbouriech
Publisher: Springer Science & Business Media
ISBN: 0857299417
Category : Technology & Engineering
Languages : en
Pages : 441

Book Description
This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.

Linear Systems

Linear Systems PDF Author: Alok Sinha
Publisher: CRC Press
ISBN: 1420008889
Category : Technology & Engineering
Languages : en
Pages : 490

Book Description
Balancing rigorous theory with practical applications, Linear Systems: Optimal and Robust Control explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems. Developed as a two-course book, this self-contained text first discusses linear systems, incl