Download or read book Finite Horizon H infinity Control Problem for Singularly perturbed Linear Time dependent Systems with Small State Delay written by Valery J. Glizer and published by . This book was released on 2002 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Horizon H and Related Control Problems written by M.Bala Subrahmanyam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We de rive expressions for a suboptimal controller in a general setting and propose an approximate solution to the Hoo performance robustness problem. The material in the book is taken from a collection of research papers written by the author. The book is organized as follows. Chapter 1 treats nonlinear optimal control problems in which the cost functional is of the form of a quotient or a product of powers of definite integrals. The problems considered in Chap ter 1 are very general, and the results are useful for the computation of the actual performance of an Hoo suboptimal controller. Such an application is given in Chapters 4 and 5. Chapter 2 gives a criterion for the evaluation of the infimal Hoc norm in the finite horizon case. Also, a differential equation is derived for the achievable performance as the final time is varied. A general suboptimal control problem is then posed, and an expression for a subopti mal Hoo state feedback controller is derived. Chapter 3 develops expressions for a suboptimal Hoo output feedback controller in a very general case via the solution of two dynamic Riccati equations. Assuming the adequacy of linear expressions, Chapter 4 gives an iterative procedure for the synthesis of a suboptimal Hoo controller that yields the required performance even under parameter variations.

Download or read book Singular Perturbations in Systems and Control written by M.D. Ardema and published by Springer. This book was released on 2014-05-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book H8 Control for Distributed Parameter Systems A State Space Approach written by Bert van Keulen and published by Springer Science & Business Media. This book was released on 1993 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions .. 165 5.4.1 Including the feedthroughs ... 165 5.4.2 How to 'remove' the regularity assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space ... 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control problem . . 6.1.3 Duality ... 189 6.2 The mixed-sensitivity problem for delay systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result ... 194 6.3 Conclusions and directions for future research. 200 A Stability theory 205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3 209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The relation between P, Q and P 221 D.1 ... Bibliography 230 239 Index Preface Control of distributed parameter systems is a fascinating and challenging top ic, from both a mathematical and an applications point of view. The same can be said about Hoc-control theory, which has become very popular lately. I am therefore pleased to present in this book a complete treatment of the state-space solution to the Hoo-control problem for a large class of distributed parameter systems.

Download or read book Finite Horizon H infinity and Related Control Problems written by M. Bala Subrahmanyam and published by . This book was released on 1995-01-01 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Finite Horizon Singular Time varying H Control Problem with Dynamic Measurement Feedback written by Antonie Arij Stoorvogel and published by . This book was released on 1989 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Singular Perturbation Analysis of Discrete Control Systems written by Desineni S. Naidu and published by Lecture Notes in Mathematics. This book was released on 1985-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stability and Control of Nonlinear Singularly Perturbed Systems With Application to High Gain Feedback written by Ali Saberi and published by . This book was released on 1983 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Singularly Perturbed Optimal Control Problems with Singular Arcs written by and published by . This book was released on 1977 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book H Infinity Symbol Control for Singularly Perturbed Discrete time Systems written by Joseph Hach Dinh and published by . This book was released on 1996 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Singular Perturbations I written by L.S. Frank and published by Elsevier. This book was released on 1990-08-16 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski's type spaces of vectorial order.

Download or read book H Infinity Control of Time Delay System with Time Varying Uncertainty written by Amit Kumar Singh and published by LAP Lambert Academic Publishing. This book was released on 2015-12-28 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, we deal with the time-delay system with uncertainty. The feedback controller can be designed by optimal method. Here we concerns a problem of robust H- control for uncertain systems with time-varying delay, and The time-delay is time-varying and unknown but is norm-bounded. A new delay-dependent robust H- controller is presented in terms of matrix inequalities (LMI). In this book, the H control law is assumed to be a memory less state feedback and is on the size of time derivative. The close-loop system with the designed controller is asymptotically stable and guarantees the H norm-bound for all the admissible uncertainties. As a result, we obtained the allowable delay time for the system with Time-varying uncertainty with time-varying disturbance and designed a feedback controller to further ensure its stability."

Download or read book Stability Analysis for Singularly Perturbed Systems with Time delays written by Yang Yang and published by . This book was released on 2015 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularly perturbed systems with or without delays commonly appear in mathematical modeling of physical and chemical processes, engineering applications, and increasingly, in mathematical biology. There has been intensive work for singularly perturbed systems, yet most of the work so far focused on systems without delays. In this thesis, we provide a new set of tools for the stability analysis for singularly perturbed control systems with time delays. To investigate various stability properties in the framework of input-to-state stability (iss) for system with time delays, we adopt the Razumikhin approach, which amounts to treating the delayed state variables in the system as feedback inputs. This approach brings the task of stability analysis for systems with delays back to the area of robust stability analysis for systems without delays, allowing one to use a rich collection of well developed tools. As a consequence, the results based Lyapunov- Razumikhin functions in our work are often more applicable in practice than the results based on Lyapunov- Krasovskii functionals dened on a innite dimensional function space. We begin with the standard approach on singularly perturbed systems by v decoupling a system into two individual subsystems evolving on two dierent time scales. To further explore the stability properties with respect to compact and forward invariant sets for singularly perturbed systems, we introduce for delayed systems the averaging method which has been commonly used for systems without delays. We carry our discussions in a context of stability with respect to a compact set instead of a single equilibrium point. Finally we extend our averaging method to the study of singularly perturbed system with time delays. Because of the interconnection between the fast and slow subsystem, the state variables of the fast subsystem act as "input" evolving in the fast time scale in the slow subsystem. Taking the advantage of this property, we simplify the reduced slow system even further by using the averaging method. In each case, we show how stability properties on the reduced and decoupled systems can be inherited to the original systems with full structures. A common feature of this work is that the conditions for a singularly perturbed system to have certain stability properties are all imposed on much simpler models such as reduced systems, boundary layer systems, and averaging systems.

Download or read book Optimal Control Of Singularly Perturbed Linear Systems And Applications written by Zoran Gajic and published by CRC Press. This book was released on 2001-01-04 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems. Develops parallel algorithms in independent slow and fast time scales for solving various optimal linear control and filtering problems in standard and nonstandard singularly perturbed systems, continuous- and discrete-time, deterministic and stochastic, multimodeling structures, Kalman filtering, sampled data systems, and much more.

Download or read book Dissipative Control and Filtering of Singular Systems written by ZHIGUANG. FENG and published by . This book was released on 2017-01-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Dissipative Control and Filtering of Singular Systems" by Zhiguang, Feng, 冯志光, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: This thesis is concerned with the dissipative control and filtering problems of singular systems. Four classes of singular systems are considered: delay-free singular systems, singular systems with constant time-delay, uncertain singular systems with time-varying delay and sensor failures, and singular Markovian jump systems with actuator failures. For delay-free singular systems, the system augmentation approach is employed to study the dissipative control and filtering problems. First, the approach is used to solve the dissipative control problem by static output-feedback for standard state-space systems which are the special cases of singular systems. For a continuous-time standard state-space system, the closed-loop system is represented in an augmented system form. Based on the augmented system, a necessary and sufficient dissipativity condition is proposed, which decouples the Lyapunov matrix and controller matrix. To further separate the Lyapunov matrix and the system matrices, an equivalent condition is obtained by introducing some slack matrices. Then, a necessary and sufficient condition for the existence of a static output-feedback controller is proposed, and an iterative algorithm is given to solve the condition. For discrete-time singular systems, by giving an equivalent representation of the solution set, a necessary and sufficient dissipativity condition is proposed in terms of strict linear matrix inequality (LMI) which can be easily solved by standard commercial software. Then a state-feedback controller design method is given based on the augmentation system approach. The method is extended to the static output-feedback control problem and the reduced-order dissipative filtering problem. For continuous-time singular time-delay systems, the problem of state-feedback dissipative control is considered. An improved delay-dependent dissipativity condition in terms of LMIs is established by employing the delay-partitioning technique, which guarantees a singular system to be admissible and dissipative. Based on this, a delay-dependent sufficient condition for the existence of a state-feedback controller is proposed to guarantee the admissibility and dissipativity of the closed-loop system. In addition to delay-dependence, the obtained results are also dependent on the level of dissipativity. Moreover, the results obtained unify existing results on H∞ performance analysis and passivity analysis for singular systems. For discrete-time singular systems with polytopic uncertainties, time-varying delay and sensor failures, the problem of robust reliable dissipative filtering is considered. The filter is designed by the reciprocally convex approach such that the filtering error singular system is admissible and strictly (Q, S, R)-dissipative. For singular systems with time-varying delay and sensor failures, a sufficient condition of reliable dissipative analysis is obtained in terms of LMIs. Then the result is extended to the uncertain case by introducing some variables to decouple the Lyapunov matrices and the filtering error system matrices. Moreover, a desired filter for uncertain singular systems with time-varying delay and sensor failures is obtained by solving a set of LMIs. For continuous-time singular Markovian jump systems with actuator failures, the problem of reliable dissipative control is addressed. Attention is focused on the state-feedback controller design method such that

Download or read book Optimal Control Of Singularly Perturbed Linear Systems And Applications written by Zoran Gajic and published by CRC Press. This book was released on 2001-01-04 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems. Develops parallel algorithms in independent slow and fast time scales for solving various optimal linear control and filtering problems in standard and nonstandard singularly perturbed systems, continuous- and discrete-time, deterministic and stochastic, multimodeling structures, Kalman filtering, sampled data systems, and much more.