On the closed-form solution of the matrix Riccati differential equation for nonsign-controllable pairs

QR Code

On the closed-form solution of the matrix Riccati differential equation for nonsign-controllable pairs

In this paper we present explicit closed form formulae for the solution of the matrix Riccati differential equation with a terminal condition. These formulae can still be employed even in the case in which the system is not sign-controllable. In such situation, the associated algebraic Riccati equat...

Full description

Bibliographic Details
Main Authors:	Ntogramatzidis, Lorenzo, Ferrante, Augusto
Other Authors:	I.M.Y. Mareels
Format:	Conference Paper
Published:	Engineers Australia 2011
Online Access:	http://hdl.handle.net/20.500.11937/40353

Similar Items

On the exact solution of the matrix Riccati differential equation
by: Ntogramatzidis, Lorenzo, et al.
Published: (2011)

On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
by: Ntogramatzidis, Lorenzo, et al.
Published: (2016)

On the solution of the Riccati differential equation arising from the LQ optimal control problem
by: Ntogramatzidis, Lorenzo, et al.
Published: (2009)

On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control
by: Ferrante, Augusto, et al.
Published: (2015)

On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis
by: Ntogramatzidis, Lorenzo, et al.
Published: (2020)

On the generalized algebraic Riccati equations
by: Ferrante, A., et al.
Published: (2017)

The discrete-time generalized algebraic Riccati equation: Order reduction and solutions’ structure
by: Ntogramatzidis, Lorenzo, et al.
Published: (2015)

The generalised discrete algebraic Riccati equation in linear-quadratic optimal control
by: Ferrante, A., et al.
Published: (2013)

The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system
by: Ntogramatzidis, Lorenzo, et al.
Published: (2019)

A reduction technique for generalised Riccati difference equations arising in linear-quadratic optimal control
by: Ferrante, A., et al.
Published: (2012)

The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I
by: Ferrante, A., et al.
Published: (2012)

The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control
by: Ferrante, A., et al.
Published: (2014)

The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part II
by: Ferrante, A., et al.
Published: (2012)

Employing the algebraic Riccati equation for a parametrization of the solutions of the finite-horizon LQ problem: the discrete-time case
by: Ferrante, A., et al.
Published: (2005)

A reduction technique for discrete generalized algebraic and difference Riccati equations
by: Ferrante, A., et al.
Published: (2013)

On the reduction of the continuous-time generalized algebraic Riccati equation: An effective procedure for solving the singular LQ problem with smooth solutions
by: Ferrante, A., et al.
Published: (2018)

Reduction of discrete algebraic riccati equations: Elimination of generalized eigenvalues on the unit circle
by: Ferrante, A., et al.
Published: (2018)

The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control
by: Ferrante, A., et al.
Published: (2013)

Methods For Approximating And Stabilizing The Solution Of Nonlinear Riccati Matrix Delay Differential Equation
by: Mohammedali, Khalid Hammood
Published: (2019)

A study on solution of matrix riccati differential equations using ant colony programming and simulink / Mohd Zahurin Mohamed Kamali
by: Mohamed Kamali, Mohd Zahurin
Published: (2015)

The solution of Riccati type differential equation by means of variable step size backward difference methods
by: Rasedee, Ahmad Fadly Nurullah, et al.
Published: (2016)

A parametrization of the solutions of the Hamiltonian system for stabilizable pairs
by: Ntogramatzidis, Lorenzo, et al.
Published: (2010)

Multivariable tracking control for MIMO linear systems: an LMI approach
by: Garone, Emanuele, et al.
Published: (2016)

Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
by: Nohooji, Hamed Rahimi, et al.
Published: (2019)

Application of optimal homotopy asymptotic method for the approximate solution of riccati equation
by: Fazle Mabood,, et al.
Published: (2013)

Foundations of not necessarily rational negative imaginary systems theory: relations between classes of negative imaginary and positive real systems. IEEE Transactions on Automatic Control
by: Ferrante, Augusto, et al.
Published: (2016)

Linear quadratic regulation for discrete-time antilinear systems: An anti-Riccati matrix equation approach
by: Wu, A., et al.
Published: (2014)

Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions
by: Ferrante, A., et al.
Published: (2016)

Comments on “Structural Invariant Subspaces of Singular Hamiltonian Systems and Nonrecursive Solutions of Finite-Horizon Optimal Control Problems”
by: Ferrante, A., et al.
Published: (2012)

Some new results in the theory of negative imaginary systems with symmetric transfer matrix function
by: Ferrante, A., et al.
Published: (2013)

Solvability conditions for the positive real lemma equations in the discrete time
by: Ferrante, A., et al.
Published: (2017)

Operational matrix based on Genocchi polynomials for solution of delay differential equations
by: Isah, Abdulnasir, et al.
Published: (2017)

A structural solution to the monotonic tracking control problem
by: Ntogramatzidis, Lorenzo, et al.
Published: (2014)

On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix
by: Ntogramatzidis, Lorenzo, et al.
Published: (2012)

Matrix form of Legendre polynomials for solving linear integro-differential equations of high order
by: Kammuji, M., et al.
Published: (2016)

Exact tuning of PID controllers in control feedback design
by: Ntogramatzidis, Lorenzo, et al.
Published: (2011)

Exact Tuning of PID Controllers in Control Feedback Design
by: Ntogramatzidis, Lorenzo, et al.
Published: (2011)

Linear matrix inequalities for globally monotonic tracking control
by: Garone, E., et al.
Published: (2015)

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations
by: Md Nasrudin, Farah Suraya, et al.
Published: (2022)

Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique
by: Mohammad Abdelrahman, Mohammad Ibraheem, et al.
Published: (2011)