11:58Linear Matrix Inequality(LMI) for testing stability of a Linear Time Invariant (LTI) system with cvx
A 12-minute video from Adwait Datar: “Linear Matrix Inequality(LMI) for testing stability of a Linear Time Invariant (LTI) system with cvx”.
Adwait Datar
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11:58
1:04:08Problem 11.1, 14.1 15.2 and 16.2: (LQG)/H2 optimal control of vertical dynamics of aircraft
A 64-minute video from Adwait Datar: “Problem 11.1, 14.1 15.2 and 16.2: (LQG)/H2 optimal control of vertical dynamics of aircraft”.
3:06Problem 12.1: Sub-multiplicative rule for matrix norms (induced norms)
A 3-minute video from Adwait Datar: “Problem 12.1: Sub-multiplicative rule for matrix norms (induced norms)”.
22:48Problem 13.1 and 13.2: Singular Value Decomposition(SVD) for some matrices
A 23-minute video from Adwait Datar: “Problem 13.1 and 13.2: Singular Value Decomposition(SVD) for some matrices”.
9:56Problem 13.3: Singular Value Decomposition(SVD) example for data
A 10-minute video from Adwait Datar: “Problem 13.3: Singular Value Decomposition(SVD) example for data”.
57:54Problem 15.1, 15.3 and 15.4: Computations of the H2 and Hinf norm
A 58-minute video from Adwait Datar: “Problem 15.1, 15.3 and 15.4: Computations of the H2 and Hinf norm”.
14:12Problem 16.1: Conservatism involved in a 3X1 block generalized plant Hinf norm condition
A 14-minute video from Adwait Datar: “Problem 16.1: Conservatism involved in a 3X1 block generalized plant Hinf norm condition”.
54:18Problem 16.3: (Water-Bed effect) in Hinf optimal control design
A 54-minute video from Adwait Datar: “Problem 16.3: (Water-Bed effect) in Hinf optimal control design”.
47:42Problem 17.1: Tracking and disturbance rejection tradeoffs in Hinf optimal control design
A 48-minute video from Adwait Datar: “Problem 17.1: Tracking and disturbance rejection tradeoffs in Hinf optimal control design”.
53:58Problem 17.2: Hinf optimal control design for vertical dynamics of an aircraft
A 54-minute video from Adwait Datar: “Problem 17.2: Hinf optimal control design for vertical dynamics of an aircraft”.
20:28Problem 18.0: Linear Matrix Inequalities define a convex feasibility set
A 20-minute video from Adwait Datar: “Problem 18.0: Linear Matrix Inequalities define a convex feasibility set”.
20:36Problem 18.1: Linear Matrix Inequalities for a region in the complex plane
A 21-minute video from Adwait Datar: “Problem 18.1: Linear Matrix Inequalities for a region in the complex plane”.
24:05Problem 18.2: Computation of H2 and Hinf norm with Linear Matrix Inequalities (LMIs)
A 24-minute video from Adwait Datar: “Problem 18.2: Computation of H2 and Hinf norm with Linear Matrix Inequalities (LMIs)”.
1:05:04Problem 19.1: LMIs for H2 optimal output-feedback controller synthesis
A 65-minute video from Adwait Datar: “Problem 19.1: LMIs for H2 optimal output-feedback controller synthesis”.
16:10Problem 19.2: LMIs for Hinf optimal state-feedback controller synthesis with pole-region constraints
A 16-minute video from Adwait Datar: “Problem 19.2: LMIs for Hinf optimal state-feedback controller synthesis with pole-region constraints”.
15:49Problem 4.1: Riccati Differential equation for a toy Linear Quadratic Regulator Problem
A 16-minute video from Adwait Datar: “Problem 4.1: Riccati Differential equation for a toy Linear Quadratic Regulator Problem”.
17:41Problem 4.2: Schur Complement and Linear Matrix Inequalities
A 18-minute video from Adwait Datar: “Problem 4.2: Schur Complement and Linear Matrix Inequalities”.
31:23Problem 4.3: Quadratic minimization and completing squares
A 31-minute video from Adwait Datar: “Problem 4.3: Quadratic minimization and completing squares”.
21:22Problem 4.4: Derivation of Riccati differential equation by completion of squares
A 21-minute video from Adwait Datar: “Problem 4.4: Derivation of Riccati differential equation by completion of squares”.
18:33Problem 5.1: Interpretation of the Hamiltonian system in the form of G(s) and its Adjoint
A 19-minute video from Adwait Datar: “Problem 5.1: Interpretation of the Hamiltonian system in the form of G(s) and its Adjoint”.
11:08Problem 5.2: Tuning knobs in the finite horizon optimal control problem for a toy example
A 11-minute video from Adwait Datar: “Problem 5.2: Tuning knobs in the finite horizon optimal control problem for a toy example”.
6:29Problem 6.1: Tuning knobs in the infinite horizon optimal control (LQR) for a toy example
A 6-minute video from Adwait Datar: “Problem 6.1: Tuning knobs in the infinite horizon optimal control (LQR) for a toy example”.
7:35Problem 6.2:Tuning knobs in the infinite horizon optimal control (LQR) for a third order toy example
A 8-minute video from Adwait Datar: “Problem 6.2:Tuning knobs in the infinite horizon optimal control (LQR) for a third order toy example”.
16:57Problem 6.3: Solution of algebraic Riccati equation via the Hamiltonian matrix
A 17-minute video from Adwait Datar: “Problem 6.3: Solution of algebraic Riccati equation via the Hamiltonian matrix”.
30:55Problem 7.1: solution (by pen and paper) of the algebraic Riccati equation for a toy example
A 31-minute video from Adwait Datar: “Problem 7.1: solution (by pen and paper) of the algebraic Riccati equation for a toy example”.
14:03Problem 7.2: closed-loop pole locations via spectral factorization
A 14-minute video from Adwait Datar: “Problem 7.2: closed-loop pole locations via spectral factorization”.
20:48Problem 7.3: Is a given state-feedback controller optimal for some cost?
A 21-minute video from Adwait Datar: “Problem 7.3: Is a given state-feedback controller optimal for some cost?”.
15:25Problem 7.4: Spectral factorization, Hamiltonian system and symmetric root-locus
A 15-minute video from Adwait Datar: “Problem 7.4: Spectral factorization, Hamiltonian system and symmetric root-locus”.
6:22Problem 9.1: Lyapunov equation for LTI systems
A 6-minute video from Adwait Datar: “Problem 9.1: Lyapunov equation for LTI systems”.
25:11Problem 9.2: LQG control on a toy example
A 25-minute video from Adwait Datar: “Problem 9.2: LQG control on a toy example”.
12:04Problem 9.3: LQG controller feedback loops with input disturbance
A 12-minute video from Adwait Datar: “Problem 9.3: LQG controller feedback loops with input disturbance”.
1:24:18Robust Control, LMIs for output-feedback synthesis and application on ACC benchmark problem
A 84-minute video from Adwait Datar: “Robust Control, LMIs for output-feedback synthesis and application on ACC benchmark problem”.