EEEN40262 15 Semester 2 Undergraduate Level 4 Zhengtao Ding Unit coordinator Guido Herrmann Unit coordinator 1 FHEQ level (Framework for Higher Education Qualifications) ' Masters/Integrated Masters P4 ' European Credit Transfer & Accumulation System Rating : 7.5 <p><strong>Optimal Control</strong></p><p>Quadratic Lyapunov functions for linear systems<br/>LQR (optimal state feedback) control<br/>Robustness of LQR control<br/>Kalman filter (optimal observers)<br/>LQG control (combining LQR state feedback and optimal observer)<br/>Loop transfer recovery<br/>Adding integral action<br/>H2 norms and H2 optimal control</p><p><strong>Robust Control</strong></p><p>Underpinning concepts:</p><p>Singular value decomposition, the H-infinity norm and the H-infinity function space<br/>Well-posedness and internal stability of feedback interconnections<br/>Small-gain theorem</p><p>Uncertainty representations and robust stability analysis:</p><p>Additive, multiplicative and inverse multiplicative uncertainty representations<br/>Linear Fractional Transformations (LFT) and LFT uncertainty representation<br/>Robust stability tests</p><p>Robust controller synthesis and robust control design methodology:</p><p>Riccati based H-infinity control synthesis<br/>H-infinity loopshaping control design methodology</p> <p><strong>Optimal Control</strong></p><p>Quadratic Lyapunov functions for linear systems<br/>LQR (optimal state feedback) control<br/>Robustness of LQR control<br/>Kalman filter (optimal observers)<br/>LQG control (combining LQR state feedback and optimal observer)<br/>Loop transfer recovery<br/>Adding integral action<br/>H2 norms and H2 optimal control</p><p><strong>Robust Control</strong></p><p>Underpinning concepts:</p><p>Singular value decomposition, the H-infinity norm and the H-infinity function space<br/>Well-posedness and internal stability of feedback interconnections<br/>Small-gain theorem</p><p>Uncertainty representations and robust stability analysis:</p><p>Additive, multiplicative and inverse multiplicative uncertainty representations<br/>Linear Fractional Transformations (LFT) and LFT uncertainty representation<br/>Robust stability tests</p><p>Robust controller synthesis and robust control design methodology:</p><p>Riccati based H-infinity control synthesis<br/>H-infinity loopshaping control design methodology</p> <p>Introduce students to the fundamentals of LQG control.</p><p>Introduce students to the fundamentals of robustness analysis, robust control law synthesis and robust control design.</p> <p>ILO1 Define optimal behaviour for control systems.</p><p>ILO2 Design of control systems based on optimal performance criteria.</p><p>ILO3 Apply optimal control methods to systems from a variety of technological areas.</p><p>ILO4 Design optimal estimators and use Kalman filters in fields outside control engineering.</p><p>ILO5 Define optimal estimation of a stochastic system.</p><p>ILO6 Analyse the robustness of a feedback control system.</p><p>ILO7 Design of control systems based on robustness criteria</p><p>ILO8 Define the robustness of a control system using h-infinite norm.</p><p>ILO9 Design controllers for systems when accurate mathematical models are unavailable.</p> <p>Lectures, tutorials and practical laboratory.&nbsp;</p> 0 Other 20% 1 Written exam 80% <p>.</p> EEEN64401 Pre-Requisite Compulsory EEEN60109 State-Space and Multivariable Control Pre-Requisite Compulsory EEEN40221 Linear Systems Theory Co-Requisite Compulsory Students taking EEEN40262 in semester 2 must study EEEN40221 Linear Systems Theory in semester 1. N Lectures 30 Practical classes & workshops 8 Tutorials 3 0 109