Tracking Control of Linear Systems (Hardcover)

The primary purpose of control is to force desired behavior in an unpredictable environment, under the actions of unknown, possibly unmeasurable disturbances and unpredictable, and therefore probably nonzero, initial conditions. This means that tracking and tracking control synthesis are fundamental control issues. Surprisingly, however, tracking theory has not been well developed, and stability theory has dominated. Tracking Control of Linear Systems presents the fundamentals of tracking theory for control systems. The book introduces the full transfer function matrix F(s), which substantially changes the theory of linear dynamical and control systems and enables a novel synthesis of tracking control that works more effectively in real environments.

An Introduction to the New Fundamentals of the Theory of Linear Control Systems

The book begins by re-examining classic linear control systems theory. It then defines and determines the system full (complete) transfer function matrix F(s) for two classes of systems: input-output (IO) control systems and input-state-output (ISO) control systems. The book also discusses the fundamentals of tracking and trackability. It presents new Lyapunov tracking control algorithms and natural tracking control (NTC) algorithms, which ensure the quality of the tracking under arbitrary disturbances and initial conditions. This natural tracking control is robust, adaptable, and simple to implement.

Advances in Linear Control Systems Theory: Tracking and Trackability

This book familiarizes readers with novel, sophisticated approaches and methods for tracking control design in real conditions. Contributing to the advancement of linear control systems theory, this work opens new directions for research in time-invariant continuous-time linear control systems. It builds on previous works in the field, extending treatment of the system transfer functions, stability issues, the plant–control relationship, and control synthesis.

控制的主要目的是在不可預測的環境中強制實現期望的行為，並在未知、可能無法測量的干擾和不可預測、因此可能非零的初始條件下實現。這意味著追蹤和追蹤控制合成是基本的控制問題。然而，令人驚訝的是，追蹤理論尚未得到很好的發展，穩定性理論卻佔主導地位。《線性系統的追蹤控制》介紹了控制系統追蹤理論的基礎。該書介紹了完整的傳遞函數矩陣F(s)，這很大程度上改變了線性動態和控制系統的理論，並實現了在實際環境中更有效的追蹤控制合成。

該書首先重新檢視了經典的線性控制系統理論。然後，它為兩類系統（輸入-輸出（IO）控制系統和輸入-狀態-輸出（ISO）控制系統）定義並確定了系統的完整傳遞函數矩陣F(s)。該書還討論了追蹤和可追蹤性的基礎。它提出了新的Lyapunov追蹤控制算法和自然追蹤控制（NTC）算法，可以確保在任意干擾和初始條件下實現追蹤的質量。這種自然追蹤控制具有魯棒性、適應性和實施簡單。

該書使讀者熟悉在實際條件下進行追蹤控制設計的新穎、複雜的方法和方法。作為線性控制系統理論的發展貢獻，這項工作為時不變連續時間線性控制系統的研究開辟了新的方向。它在該領域的先前工作基礎上，擴展了對系統傳遞函數、穩定性問題、植物-控制關係和控制合成的處理。