Huanshui Zhang – författare

Solve irregular, infinite-dimensional, and asymmetric LQ control problems Standard LQ control theory breaks down when regularity assumptions fail, state dimensions become infinite, or controllers have asymmetric information or roles. Nonstandard Linear Quadratic Optimal Control identifies the root causes of these breakdowns and introduces decoupling-based methods for forward-backward difference/differential equations to resolve them across both discrete-time and continuous-time settings. The book develops FBDEs decoupling techniques that enable optimal feedback controller design and feedback stabilization. Coverage extends to irregular LQ control of deterministic and stochastic systems with additive and multiplicative noise, stochastic LQ control with input delay and state delay, infinite-dimensional LQ control of partial differential systems, decentralized LQ control with various asymmetric information structures, open-loop and closed-loop Stackelberg game LQ control, and applications in networked control and multi-agent systems. Each topic connects theoretical results directly to engineering applications including autonomous driving. Readers will also find: A proposed general method of decoupling FBDEs to address the difficulties encountered in analytical designController and stabilization conditions for different non-standard LQ control characterized by distinct self-developed Riccati-like equations Designed for professionals and researchers in control theory, systems engineering, and autonomous driving, this book serves as both a theoretical reference and a practical toolkit. Graduate students with grounding in algebra, probability, and classical LQ regulation will find the structured progression from fundamentals to advanced applications accessible.

Time delay systems exist in many engineering ?elds such as transportation, communication, process engineering and more recently networked control s- tems. In recent years,time delaysystems haveattracted recurring interests from research community. Much of the research work has been focused on stability analysis and stabilization of time delay systems using the so-called Lyapunov- Krasovskii functionals and linear matrix inequality (LMI) approach. While the LMI approach does provide an e?cient tool for handling systems with delays in state and/or inputs, the LMI based results are mostly only su?cient and only numerical solutions are available. For systems with knownsingle input delay, there have been rather elegant- alytical solutions to various problems such as optimal tracking, linear quadratic regulation and H control. We note that discrete-time systems with delays can ? usually be converted into delay free systems via system augmentation, however, theaugmentationapproachleadsto muchhigher computationalcosts,especially for systems of higher state dimension and large delays. For continuous-time s- tems,time delayproblemscaninprinciple betreatedby thein?nite-dimensional system theory which, however,leads to solutions in terms of Riccati type partial di?erential equations or operator Riccati equations which are di?cult to und- stand and compute. Some attempts have been made in recent years to derive explicit and e?cient solutions for systems with input/output (i/o) delays. These include the study ontheH controlofsystemswith multiple input delaysbased ? on the stable eigenspace of a Hamlitonian matrix [46].